· books · 36 min read

Calculus Books

Welcome, readers, to our latest book roundup - “Calculus Books. ” If you’re a math enthusiast or a student grappling with the wonders of calculus, you’re in luck! In this thoughtfully curated list, we’ve compiled some of the best calculus books out there, designed to help you understand and master the subject. Dive in and discover the perfect companion to navigate the exciting world of calculus.

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1. The Finite Calculus Associated with Bessel Functions

The Finite Calculus Associated with Bessel Functions | Cover Image

’The Finite Calculus Associated with Bessel Functions’ is an innovative and groundbreaking exploration of the world of applied mathematics. Written by accomplished mathematician Frank M. Cholewinski, this comprehensive book delves into the intricacies of Bessel functions and their associated calculus. Cholewinski expertly unravels the intricacies surrounding this widely used class of functions, making it the first book of its kind to present a calculus specifically for this class.

The author introduces readers to a generalized umbral calculus, associated with the Euler operator and its Bessel eigenfunctions, which holds for each positive value of an index parameter. Notably, the functions and operators can be linked to the radial sections of n-dimensional Euclidean space objects for a specific value of this parameter. This discovery is a significant extension of Rota’s work on the ordinary umbral calculus and binomial enumeration.

Moreover, the book sheds light on a multitude of new polynomial sequences, their group properties, and semigroup compositional properties. It also elucidates the generalized Bernoulli, Euler, and Stirling numbers tied to Bessel functions and their related classes of polynomials.

”The Finite Calculus Associated with Bessel Functions” is meticulously crafted for researchers in special function theory and physics, catering to their need for a deep, rigorous, and comprehensive understanding of Bessel functions. With its concise and clear language, enriched with mathematical complexity, it stands as a testament to Cholewinski’s profound knowledge and dedication to this field of mathematics.


  • Authors: Frank M. Cholewinski

  • Publisher: American Mathematical Soc.

  • Published Date: March 30, 1988

  • Page Count: 122.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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2. The Essentials of Calculus III

The Essentials of Calculus III | Cover Image

Delve into the exciting world of Calculus III with “The Essentials of Calculus III, ” a concise and comprehensive guide covering essential topics such as integration, applications of the integral, parametric equations, polar coordinates, analytic geometry, and two- and three-dimensional vector analysis. As a handy reference, it is perfect for students preparing for exams or doing homework, as well as an excellent textbook companion.

Additionally, math teachers will find it an invaluable resource for outlining course curriculums and creating lesson plans. With its engaging content and compact size, “The Essentials of Calculus III” is a must-have for anyone looking to master the intricacies of calculus.

Whether you’re a student or an educator, this book is sure to keep you captivated and inspired as you explore the depths of mathematics.


  • Publisher: St. Martin’s Press

  • Published Date: March 30, 1996

  • Page Count: 84.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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3. Learning Basic Calculus

Learning Basic Calculus | Cover Image

From Archimedes to Newton to Its Role in Science


Learning Basic Calculus is a comprehensive, historically-grounded textbook by Alexander Hahn that introduces students to the fascinating world of calculus, from the works of Archimedes and Newton to its modern applications in science. Developed through the author’s teaching of an honors calculus course at Notre Dame, this book carefully guides readers through the principles of calculus, trigonometry, and analytic geometry, all within the context of their historical significance. With a modern, user-friendly notation and a pedagogical emphasis, this meticulously selected material covers the essentials of the subject, providing a solid foundation for further study and exploration.


  • Authors: Alexander Hahn

  • Publisher: Springer Science & Business Media

  • Published Date: March 30, 1998

  • Page Count: 572.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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4. Short Calculus

Short Calculus | Cover Image

The Original Edition of “A First Course in Calculus”


“Short Calculus: The Original Edition of ‘A First Course in Calculus’” is an essential text for anyone embarking on their journey into the world of calculus. Written by respected mathematician, Serge Lang, this book was first published in 1964 and is praised for its rigorous approach to teaching the subject. The text’s unique presentation and approach have been applauded by numerous reviewers, with one describing it as ‘as rigorous as any mathematician would wish it. ‘

This title, which has a total of 286 pages, is renowned for its straightforward and engaging exercises, all of which are refreshingly concise. They never deviate from their core aim, making the material accessible to the reader while still posing a challenge on occasions. The book offers answers to all the exercises, which are accompanied by additional supplementary problems that test the abilities of even the most adept learner.

A standout among books on this topic, “Short Calculus: The Original Edition of ‘A First Course in Calculus’” has proven to be an important resource for students of mathematics worldwide. It’s a testament to the timeless nature and enduring value of Lang’s work.

Let’s embark on the exciting journey of calculus with the “Short Calculus: The Original Edition of ‘A First Course in Calculus. ‘“


  • Authors: Serge Lang

  • Publisher: Springer Science & Business Media

  • Published Date: November 29, 2001

  • Page Count: 286.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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5. Calculus: Concepts and Methods

Calculus: Concepts and Methods | Cover Image

Calculus: Concepts and Methods by Ken Binmore and Joan Davies is a comprehensive, user-friendly guide to this essential branch of mathematics. Delving into the ancient origins of the term ‘calculus, ’ the authors introduce readers to the concepts, methods, and applications of calculus across various fields such as business, economics, engineering, and sciences. With an emphasis on clear explanations, the book carefully navigates the transition from single to multivariate calculus, ensuring that readers grasp the intricate notions involved. Moreover, the book features applications in economics and business, which sets it apart from traditional calculus texts.

With a focus on reinforcing concepts through a range of geometric devices, diagrams, and exercises, the authors ensure that readers develop a solid understanding of calculus without the need for formal theorems or proofs. To enhance the learning experience, Mathematica is utilized to generate stunning, full-color illustrations that help students visualize complex mathematical objects. As a result, this book is an inviting and accessible addition to the library of anyone pursuing advanced studies in mathematics, economics, and science.


  • Authors: Ken Binmore, Joan Davies

  • Publisher: Cambridge University Press

  • Published Date: February 07, 2002

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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6. Applied Calculus, Textbook

Applied Calculus, Textbook | Cover Image

Experience the finest balance of theory and practice with Applied Calculus, the top-rated textbook for mastering calculus concepts. Written by an expert team of authors, this innovative book takes you on a journey through calculus, presenting its main ideas in a clear and simple manner.

Applied Calculus provides exceptional exercises based on real-world applications, helping students develop essential estimating and approximating skills. The book’s unique approach ensures students understand its diverse applications across various fields including biology, economics, and more.

Key features of this engaging textbook include alternative avenues to comprehend complex topics. Each topic is presented in four ways: geometrically, numerically, analytically, and verbally, aiding versatile understanding. Additionally, the book’s emphasis on problem-solving encourages the use of common sense and critical thinking, fostering a strong foundation for future calculus courses.

To enhance your learning experience, Applied Calculus seamlessly integrates technology, such as graphics calculators, graphing software, or computer algebra systems, as a tool to aid visualization and promote a deep understanding of calculus concepts.

Don’t miss a step in your calculus journey; choose Applied Calculus for its effective balance between practical applications and foundational theory.


  • Authors: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, William G. McCallum, Brad G. Osgood, Andrew Pasquale, David Lovelock, Karen Rhea, Jeff Tecosky-Feldman, Douglas Quinney, Joe B. Thrash, Thomas W. Tucker

  • Publisher: John Wiley & Sons

  • Published Date: October 30, 2003

  • Print Type: BOOK

  • Maturity Rating: NOT_MATURE

  • Language: en


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7. The Complete Idiot’s Guide to Calculus, 2nd Edition

The Complete Idiot's Guide to Calculus, 2nd Edition | Cover Image

Welcome to calculus made easy and fun! Authored by an award-winning calculus teacher, The Complete Idiot’s Guide to Calculus, 2nd Edition, is a must-have resource for students pursuing a non-science degree.

With increased explanatory graphics and illustrations and a whopping double the number of practice problems, this book is designed to help you navigate the tricky world of calculus with ease. Don’t be intimidated – let this book be your companion as you embark on this mathematical journey. With the success of the first edition and a growing number of college students required to take calculus, this second edition is the perfect guide for those seeking to conquer this subject.

Visit calculus-help. com for additional support from the author. Unleash your inner mathematician with The Complete Idiot’s Guide to Calculus, 2nd Edition!


  • Authors: W. Kelley

  • Publisher: Penguin

  • Published Date: August 03, 2004

  • Page Count: 354.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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8. Introduction to Stochastic Calculus with Applications

Introduction to Stochastic Calculus with Applications | Cover Image

”Introduction to Stochastic Calculus with Applications” by Fima C. Klebaner is a comprehensive and advanced resource for those interested in stochastic calculus and its applications. Delving into the subject in an approachable yet rigorous way, this book covers various advanced topics, making it useful for practitioners seeking to use advanced theoretical results.

The book offers a self-contained and unified presentation, with many solved examples, exercises, and an extensive range of applications. Designed for advanced undergraduate and graduate students in stochastic calculus and financial mathematics, this text is highly beneficial for practitioners wishing to gain a deeper understanding of the subject. Furthermore, experts in mathematics can utilize this book as their first introduction to stochastic calculus or as a companion to more advanced texts.

In the second edition, the author has added a new chapter on bonds, interest rates, and their options. Additionally, readers will find extended sections with more worked-out examples in all chapters, best estimators, expanded results on change of time, change of measure, random measures, and numerous applications in financial mathematics, mathematics, biology, and engineering, among other fields. This edition also includes five new figures and various other improvements.

Instructors have access to slides of the text from the author, making “Introduction to Stochastic Calculus with Applications” a reliable and comprehensive guide to the intricacies of stochastic calculus and its far-reaching applications.


  • Authors: Fima C. Klebaner

  • Publisher: Imperial College Press

  • Published Date: March 30, 2005

  • Page Count: 431.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 2.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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9. The Complete Idiot’s Guide to Calculus

The Complete Idiot's Guide to Calculus | Cover Image

”The Complete Idiot’s Guide to Calculus” offers a unique approach to understanding this often feared and misunderstood subject. Written for students who may not be naturally inclined towards calculus, this book aims to create a more enjoyable learning experience that leads to a solid understanding.

Packed with practical illustrations, graphs, and more practice problems than ever before, readers can expect to develop a strong foundation without the intimidating stigma usually associated with calculus. The author, an experienced educator, aims to remove common obstacles that hinder success, such as confusing terminologies and abstract concepts.

As the title suggests, this guide is perfect for individuals who might be considered “calculus idiots. ” It’s the ideal resource for anyone seeking to overcome their fear and grasp the valuable concepts of calculus. With its engaging and non-intimidating approach, even those initially skeptical just might find themselves nodding in appreciation of this once daunting subject.

Stay tuned for a highly informative and easily digestible ride into the world of the stigmatized STEM discipline by simply following the comprehensive guide provided within these pages.


  • Authors: W. Michael Kelley

  • Publisher: Penguin

  • Published Date: March 30, 2006

  • Page Count: 354.0

  • Print Type: BOOK

  • Categories: Calculus

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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10. A Course in Calculus and Real Analysis

A Course in Calculus and Real Analysis | Cover Image

”A Course in Calculus and Real Analysis” by Sudhir R. Ghorpade and Balmohan V. Limaye delves into the world of calculus, offering a comprehensive and rigorous introduction to the calculus of functions of one variable.

Focusing on the structural development of calculus, the authors shed light on the foundational concepts that form the basis of high school mathematics. From the ratio of circumference to diameter for all circles to the fact that calculus provides a strong foundation for accepted truths, this text uncovers the depth and intricacies of calculus.

This book is well-suited for those seeking a detailed understanding of calculus and real analysis, with topics covered in depth and a maturity rating of NOT_MATURE. Don’t miss the opportunity to explore the world of calculus and its implications with this highly engaging and informative book.


  • Authors: Sudhir R. Ghorpade, Balmohan V. Limaye

  • Publisher: Springer Science & Business Media

  • Published Date: June 05, 2006

  • Page Count: 442.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 3.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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11. Calculus II For Dummies

Calculus II For Dummies | Cover Image

Calculus II For Dummies is a must-have guide for any second-semester calculus student. With its expert instruction, advice, and tips, this book will help you conquer advanced calculus topics and ace your exams.

Covering a range of intermediate calculus topics, from integration methods like substitution and introduction to multivariable calculus, differential equations, and numerical analysis, this book boasts practical exercises designed to enhance understanding and simplify complex subjects. As a comprehensive guide to calculus II, it’s the ultimate resource for anyone embarking on this challenging yet rewarding mathematical journey.


  • Authors: Mark Zegarelli

  • Publisher: For Dummies

  • Published Date: June 02, 2008

  • Page Count: 368.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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12. Advanced Calculus

Advanced Calculus | Cover Image

Dive deep into the world of mathematical analysis with Patrick Fitzpatrick’s “Advanced Calculus, ” published by the American Mathematical Society. This comprehensive textbook serves as the foundation for undergraduate students looking to master advanced Calculus concepts.

With a self-contained approach, “Advanced Calculus” starts at the beginning, utilizing the completeness axiom to establish key properties of functions of a single variable, including continuity, differentiability, integrability, and power series representation. Subsequent chapters delve into the topological and metric properties of Euclidean space, laying the groundwork for a rigorous treatment of differential calculus, including the Implicit Function Theorem and Lagrange Multipliers. Explore the intricacies of integration for functions of several real variables and push the boundaries of your mathematical understanding with “Advanced Calculus. “.


  • Authors: Patrick Fitzpatrick

  • Publisher: American Mathematical Soc.

  • Published Date: March 30, 2009

  • Page Count: 610.0

  • Print Type: BOOK

  • Categories: Calculus

  • Average Rating: 3.0

  • Ratings Count: 2.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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13. Calculus: Early Transcendentals

Calculus: Early Transcendentals | Cover Image

Experience calculus like never before with Dennis G. Zill and Warren S.

Wright’s Calculus: Early Transcendentals, Fourth Edition. Suitable for the traditional three-term college calculus course, this book offers a student-friendly presentation that pairs valuable theory with practical applications.

With hundreds of problem-solving examples and modern applications, Zill’s acclaimed learning tools are designed to engage students and enhance their calculus skills. This revised edition retains all the exceptional resources that have made Zill’s texts a significant success. Embark on a comprehensive calculus journey with Calculus: Early Transcendentals and witness your mathematical prowess grow.


  • Authors: Dennis G. Zill, Warren S. Wright

  • Publisher: Jones & Bartlett Publishers

  • Published Date: December 11, 2009

  • Page Count: 673.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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14. Single Variable Calculus

Single Variable Calculus | Cover Image

Early Transcendentals


”Single Variable Calculus: Early Transcendentals” is an essential guide for students embarking on their college calculus journey. Authored by the renowned math experts, Dennis Zill and Warren S. Wright, this Fourth Edition upholds the high standards for which Zill’s math texts are acclaimed.

Notably student-friendly, the text is brimming with robust examples and comprehensive problem sets. Catering to the first two terms in the introductory calculus sequence, it lays the groundwork for crucial mathematical concepts and fosters proficient problem-solving skills.

Despite the academic rigor expected of a college calculus course, it remains approachable and engaging for novice learners, making it a resounding success in the math community.


  • Authors: Dennis Zill, Warren S. Wright

  • Publisher: Jones & Bartlett Learning

  • Published Date: December 11, 2009

  • Page Count: 705.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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15. The Britannica Guide to Analysis and Calculus

The Britannica Guide to Analysis and Calculus | Cover Image

The Britannica Guide to Analysis and Calculus is a comprehensive and engaging exploration of the fascinating world of mathematics. Authored by renowned astronomer Erik Gregersen, this informative guide takes readers on a journey through the rich history of this vital subject.

From the brilliant minds that conceived the theories and inventions to the practical applications that revolutionized the way we approach problem-solving, this book provides a deep understanding of the major topics in analysis and calculus. With a captivating style that makes complex concepts accessible, The Britannica Guide to Analysis and Calculus is an essential resource for those seeking to delve into the heart of mathematics - be it students preparing for exams or enthusiasts looking to expand their knowledge.


  • Authors: Erik Gregersen Associate Editor, Astronomy and Space Exploration

  • Publisher: The Rosen Publishing Group, Inc

  • Published Date: August 15, 2010

  • Page Count: 296.0

  • Print Type: BOOK

  • Categories: Juvenile Nonfiction

  • Maturity Rating: NOT_MATURE

  • Language: en


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16. Essentials of Precalculus with Calculus Previews

Essentials of Precalculus with Calculus Previews | Cover Image

Essentials of Precalculus with Calculus Previews, the perfect one-term course companion, presents a comprehensible introduction to precalculus concepts, focused on vital topics essential for most calculus courses. This fifth edition, written by renowned authors Dennis Zill and Jacqueline Dewar, is a full-color text designed for student success.

It boasts an extensive collection of engaging exercise sets, covering algebra, graphing, and function theory, while highlighting calculus’ core sub-topics. With its consistent use of calculus terminology in an approachable manner, students are guided effortlessly into future calculus courses. The text’s outstanding resources for both students and instructors provide a complete teaching and learning package, making this book an invaluable asset for any mathematics enthusiast.


  • Authors: Dennis Zill, Jacqueline Dewar

  • Publisher: Jones & Bartlett Publishers

  • Published Date: December 15, 2010

  • Page Count: 450.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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17. Calculus: Single Variable, 2nd Edition

Calculus: Single Variable, 2nd Edition | Cover Image

Single Variable


”Calculus: Single Variable, 2nd Edition” by Brian E. Blank and Steven G.

Krantz is a comprehensive guide for scientists and engineers seeking to apply calculus to their respective fields. With a stronger emphasis on conceptual understanding, this edition strikes a valuable balance between rigor and accessibility. The book offers a rich assortment of unique elements that deepen the reader’s appreciation for calculus while offering innovative approaches to vital topics such as limits, thereby revealing new avenues in learning.

Packed with challenging exercises that refine math skills, “Calculus: Single Variable, 2nd Edition” is an indispensable resource for those aspiring to master the complexities of calculus and apply them strategically in their chosen industries.


  • Authors: Brian E. Blank, Steven G. Krantz

  • Publisher: Wiley Global Education

  • Published Date: December 20, 2010

  • Page Count: 832.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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18. Calculus

Calculus | Cover Image

Theory and Applications


Unlock the mysteries of calculus with “Calculus: Theory and Applications” by Kenneth Kuttler. This in-depth guide covers single-variable calculus, providing a comprehensive understanding of its theory and practical applications. Aside from presenting proofs for all theorems discussed in the text, the book also includes an introduction to vectors and vector products to be further explored in Volume 2.

With clear and accessible presentations of its diverse applications, “Calculus: Theory and Applications” is the go-to resource for anyone seeking a thorough understanding of the subject.


  • Authors: Kenneth Kuttler

  • Publisher: World Scientific

  • Published Date: December 28, 2010

  • Page Count: 501.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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19. Counterexamples in Calculus

Counterexamples in Calculus | Cover Image

Counterexamples in Calculus, by Sergiy Klymchuk, is a must-have resource for students studying single variable calculus. This unique book fills a gap in the literature by offering a collection of incorrect mathematical statements that require students to create counterexamples in order to disprove them. The author employs various methods, including presenting the converse of well-known theorems, omitting crucial conditions, and using incorrect definitions.

The incorrect statements are organized topically, with sections dedicated to functions, limits, continuity, differential calculus, and integral calculus. This innovative tool will aid students in their understanding of calculus by providing a resource for effectively utilizing counterexamples as a pedagogical tool in the study of introductory calculus.


  • Authors: Sergiy Klymchuk

  • Publisher: American Mathematical Soc.

  • Published Date: December 31, 2010

  • Page Count: 113.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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20. The Calculus Collection

The Calculus Collection | Cover Image

A Resource for AP* and Beyond


The Calculus Collection is an indispensable resource for anyone teaching calculus, whether in high school or at a 2- or 4-year college or university. Compiled by a panel of six experienced high school teachers, this collection features 123articles previously published in esteemed mathematics journals.

Designed for engaging students encountering the core principles of calculus for the first time, The Calculus Collection offers a wealth of insights, innovative explanations of complex concepts, and practical problem-solving strategies. The articles showcase various approaches to incorporating technology and calculators into the classroom, while others address themes from the calculus reform movement. Overall, this comprehensive resource offers a diverse and engaging exploration of the mathematics encountered in a first course in calculus.


  • Authors: Caren L. Diefenderfer, Roger B. Nelsen

  • Publisher: American Mathematical Soc.

  • Published Date: December 31, 2010

  • Page Count: 529.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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21. Calculus II For Dummies

Calculus II For Dummies | Cover Image

Are you ready to conquer the world of advanced calculus? Calculus II For Dummies is your trusted companion in the journey towards understanding complex concepts and excelling in your college exams. With a focus on intermediate calculus topics, this book breaks down the subject in plain English, ensuring that you comprehend each and every detail.

Calculus II is a vital prerequisite for majors such as pre-med, engineering, and physics. Mark Zegarelli, the author, understands the challenges that students face when learning calculus and offers expert instruction, advice, and tips to help you master this essential subject.

Covering topics like integration, sequences and series, multivariable calculus, differential equations, and numerical analysis, Calculus II For Dummies provides in-depth knowledge on intermediate calculus in a comprehensive yet easy-to-understand manner.

This hands-on guide features practical exercises designed to simplify concepts, enhancing your understanding of this intricate field. Say goodbye to confusion and hello to success with Calculus II For Dummies!


  • Authors: Mark Zegarelli

  • Publisher: John Wiley & Sons

  • Published Date: January 24, 2012

  • Page Count: 384.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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22. A First Course in Calculus

A First Course in Calculus | Cover Image

Embark on a comprehensive journey through the fundamentals of calculus with the fifth edition of Serge Lang’s “A First Course in Calculus. ” Catering to the traditional first-year curriculum, this extensive text covers five intricately divided sections, each delving into a multitude of examples and applications relevant to the subject matter.

Expanding on the strengths of its previous editions, this edition boasts enhanced exercise solutions compiled at the rear, enabling the book to serve as a valuable resource for worked-out examples. Trusted by countless students, “A First Course in Calculus” remains an invaluable companion in honing your mathematical prowess and deepening your understanding of the critical principles that form the foundation of calculus. Experience the transformative power of this text in your quest for mathematical mastery.


  • Authors: Serge Lang

  • Publisher: Springer Science & Business Media

  • Published Date: September 17, 2012

  • Page Count: 741.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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23. The History of the Calculus and Its Conceptual Development

The History of the Calculus and Its Conceptual Development | Cover Image

”The History of the Calculus and Its Conceptual Development” by Carl B. Boyer offers a comprehensive exploration of the evolution of calculus, from its origins in antiquity to its modern-day understanding.

This meticulously researched book delves into the seminal works of great mathematicians, including medieval contributors, and provides a clear understanding of the integral and differential calculus. Boyer’s work also gives due credit to the groundbreaking theories of Newton and Leibniz, who played pivotal roles in the development of this crucial branch of mathematics. With a wealth of information presented in an easy-to-digest manner, “The History of the Calculus and Its Conceptual Development” is an essential read for anyone interested in the intricate world of calculus.


  • Authors: Carl B. Boyer

  • Publisher: Courier Corporation

  • Published Date: October 09, 2012

  • Page Count: 431.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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24. Calculus of Several Variables

Calculus of Several Variables | Cover Image

Dive into the world of advanced mathematics with Serge Lang’s “Calculus of Several Variables. ” This revised edition provides a comprehensive exploration of the fundamental topics in calculus, such as vectors, curves, and functions of several variables. With insights on gradient, tangent plane, maxima and minima, potential functions, curve integrals, and more, this book is perfect for students and professionals seeking a deep understanding of multivariate calculus.

In addition to its comprehensive coverage, “Calculus of Several Variables” boasts multiple solved problems that help guide readers through the complexities of the subject. This revised edition builds upon the previous work, making it an essential resource for anyone wishing to master this intriguing field of study. Don’t miss your chance to unlock the potential of calculus – grab a copy of “Calculus of Several Variables” today.


  • Authors: Serge Lang

  • Publisher: Springer Science & Business Media

  • Published Date: December 06, 2012

  • Page Count: 624.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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25. Calculus With Applications

Calculus With Applications | Cover Image

Calculus With Applications by Peter D. Lax and Maria Shea Terrell is a comprehensive guide to single variable calculus. This book offers students a clear understanding of important theorems and the significance of calculus concepts in real-world applications. Designed for students in mathematics, physical sciences, and engineering, it covers topics such as calculation, approximation, modeling, and other central themes of single variable calculus.

With an updated edition, readers will find new sections that use simple, elementary examples to illustrate the use of calculus for approximations of functions. The book also includes essential material for students in science and engineering, such as an elementary introduction to complex numbers and complex-valued functions, applications of calculus to vibrations and population modeling, and an introduction to probability and information theory.

Calculus With Applications boasts a strong average rating of 5.0 and provides an engaging and accessible approach to the subject. Whether you are a math enthusiast or studying for a degree in science or engineering, this book offers a valuable resource for anyone seeking a deeper understanding of calculus and its role in modern applications.


  • Authors: Peter D. Lax, Maria Shea Terrell

  • Publisher: Springer Science & Business Media

  • Published Date: September 21, 2013

  • Page Count: 503.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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26. Advanced Calculus

Advanced Calculus | Cover Image

Revised


Advanced Calculus: Revised is a revered, hard-to-find textbook for the advanced calculus course by authors Dr. Lynn Loomis and Dr.

Shlomo Sternberg from Harvard University. Based on an honors course in advanced calculus given in the 1960s, this book offers foundational material in unstarred sections of chapters 1 to 11, covering a comprehensive range of topics such as calculus, differentiable manifolds, and normed vector spaces. The book also emphasizes on different applications of this basic material, allowing users to customize their learning and use it as a text for a year’s course or a three-semester introduction to analysis.

With a recommended prerequisite of a good grounding in calculus of one variable, linear algebra, and familiarity with limit and continuity arguments, this engaging and comprehensive book is an essential resource for anyone looking to master advanced calculus.


  • Authors: Lynn Harold Loomis, Shlomo Sternberg

  • Publisher: World Scientific Publishing Company

  • Published Date: February 26, 2014

  • Page Count: 596.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 4.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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27. From Calculus to Analysis

From Calculus to Analysis | Cover Image

Embark on a captivating journey into the realm of advanced calculus with “From Calculus to Analysis”. Written by esteemed author Steen Pedersen, this comprehensive textbook offers a unique bridge between calculus and analysis.

From proving the Fundamental Theorem of Algebra to exploring space filling curves and the theory of irrational numbers, “From Calculus to Analysis” takes readers through a myriad of fascinating applications. Pedersen’s text not only covers advanced calculus but also delves into its intriguing consequences.

The book’s content is inspired by the author’s extensive lecture notes, which have been continually revised and refined over the past decade. With numerous illustrations, cross references, and exercises accompanied by detailed solutions, this resource provides students with a solid foundation in the subject.

Don’t miss out on this engaging and informative textbook. “From Calculus to Analysis” presents advanced calculus concepts in an easy-to-understand manner while stimulating readers’ interest with real-world applications, making it an invaluable addition to any mathematics library.


  • Authors: Steen Pedersen

  • Publisher: Springer

  • Published Date: March 21, 2015

  • Page Count: 342.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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28. Fundamentals of Calculus

Fundamentals of Calculus | Cover Image

Experience the fascinating world of calculus with “Fundamentals of Calculus” - an essential textbook for undergraduate students across various fields including business, economics, biology, chemistry, and environmental science. Written by esteemed authors Carla C. Morris and Robert M. Stark, this comprehensive volume from John Wiley & Sons offers an engaging introduction to differential and integral calculus.

Throughout the book, real-world examples from business, economics, and the life and social sciences bring calculus concepts to life. The authors present clear, step-by-step explanations for each solution, while also integrating specific techniques to emphasize essential information. In addition to traditional calculus applications, readers will discover the elements of finite calculus with formulas for power, quotient, and product rules. The chapter on the “mathematics of change” concludes with historically significant notes that provide invaluable context.

Covering topics such as linear equations and functions, differentiation techniques, integral calculus, and applications to probability, “Fundamentals of Calculus” is an ideal academic resource. Accompanying online instructional support materials further enhance the learning experience for students. This remarkable work, with an average rating of 5.0 and a meager 1 rating count, is a must-read for anyone curious about calculus’s intricacies and applications. Get ready to explore the fascinating world of mathematics with “Fundamentals of Calculus. “


  • Authors: Carla C. Morris, Robert M. Stark

  • Publisher: John Wiley & Sons

  • Published Date: August 10, 2015

  • Page Count: 368.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Average Rating: 5.0

  • Ratings Count: 1.0

  • Maturity Rating: NOT_MATURE

  • Language: en


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29. Calculus

Calculus | Cover Image

Calculus, published by OpenStax College, is a comprehensive two- or three-semester general calculus textbook designed by authors Gilbert Strang and Edwin Prine Herman. This innovative book is focused on guiding students through the essential concepts of calculus, emphasizing their application to everyday life.

With its dedication to enhancing student learning, Calculus features an engaging and accessible writing style that appeals to a wide range of readers. The text is divided into three volumes for flexibility and efficiency, with Volume 2 covering integration, differential equations, sequences and series, and parametric equations and polar coordinates.

OpenStax College’s dedication to student success is evident in the comprehensive and high-quality nature of Calculus. The book offers a comprehensive guide to the core concepts of calculus, emphasizing their relevance and practical application to various aspects of life and the world. With its detailed chapters and user-friendly approach, Calculus is an invaluable resource for anyone looking to deepen their understanding of this essential field of study.


  • Authors: Gilbert Strang, Edwin Prine Herman

  • Published Date: March 07, 2016

  • Page Count: 824.0

  • Print Type: BOOK

  • Categories: Calculus

  • Maturity Rating: NOT_MATURE

  • Language: en


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30. Calculus For Dummies

Calculus For Dummies | Cover Image

Master the art of calculus with Calculus For Dummies, a 2nd edition guide that breaks down the intimidating subject into digestible concepts. This comprehensive study tool leads you step-by-step through differentiation and integration, ensuring you understand the ‘how’ and ‘why’ behind each operation. Discover real-life applications of calculus and gain confidence to conquer calculus-based hurdles in your college major.

Packed with practical examples, this approachable math book covers essential concepts, sequences, series, graphing, and integration, while providing handy reminders and pointers to make your learning journey smoother. Don’t let calculus be a barrier to success - embrace the challenge with Calculus For Dummies and pave the way to academic triumph.


  • Authors: Mark Ryan

  • Publisher: John Wiley & Sons

  • Published Date: June 07, 2016

  • Page Count: 391.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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31. Calculus: A Rigorous First Course

Calculus: A Rigorous First Course | Cover Image

Embark on a rigorous journey through the world of calculus with “Calculus: A Rigorous First Course” by Daniel J. Velleman. This comprehensive text, published by Courier Dover Publications, is designed specifically for undergraduate mathematics majors who seek a deep understanding of this essential subject.

Velleman emphasizes calculus as a powerful problem-solving tool rather than solely focusing on its theoretical underpinnings. By prioritizing a thorough comprehension of calculus concepts over memorization of procedures, this book equips students with the ability to not only find accurate solutions but also confirm their correctness.

”Calculus: A Rigorous First Course” covers the standard topics of first-year calculus, including limits, derivatives, integrals, and infinite series. It requires no prior calculus knowledge; however, proficiency in basic algebra and trigonometry is necessary. The text features extensive problem material and selected answers, with complete solutions available to instructors.

With its thorough approach and practical problem-solving focus, “Calculus: A Rigorous First Course” offers an engaging and rewarding experience for any undergraduate mathematics student.


  • Authors: Daniel J. Velleman

  • Publisher: Courier Dover Publications

  • Published Date: January 05, 2017

  • Page Count: 736.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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32. AP® Calculus AB & BC All Access Book + Online

AP® Calculus AB & BC All Access Book + Online | Cover Image

Prepare for the Advanced Placement® Calculus exams with REA’s comprehensive All Access book and online resources, designed to accommodate your personal study needs. This tailored study system, consisting of a book and valuable online tools, allows you to customize your preparation, focusing on your learning style, schedule, and current knowledge of the subject. The book is packed with exam content and proven strategies, while the online resources offer quizzes, assessments, and flashcards to evaluate your progress and target weaker areas.

Stay on track with access to topic-level quizzes, mini-tests, and full-length practice tests, all presenting College Board®-style questions and delivering in-depth score reports to pinpoint your strengths and weaknesses. Elevate your exam performance with REA’s All Access study aids for the AP® Calculus AB & BC exams.


  • Authors: Stu Schwartz

  • Publisher: Research & Education Assoc.

  • Published Date: January 13, 2017

  • Page Count: 434.0

  • Print Type: BOOK

  • Categories: Study Aids

  • Maturity Rating: NOT_MATURE

  • Language: en


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33. Everyday Calculus

Everyday Calculus | Cover Image

Discovering the Hidden Math All around Us


Everyday Calculus: Discovering the Hidden Math All Around Us is a unique and engaging take on calculus. It’s not just about solving equations, but it’s more about understanding how calculus is a seamless part of our everyday lives. The author, Oscar Fernandez, cleverly showcases calculus as a useful and fascinating tool that can be applied to various situations, from figuring out the most optimal number of hours to sleep to determining the quickest route to the office. This book proves that calculus isn’t just about equations; it’s about understanding and appreciating the world around us.

Even if you’re new to mathematics, Everyday Calculus presents the concepts in such a way that they’re approachable and simple to comprehend. To cater to the advanced math fans, the book also includes appendixes with the mathematical derivations involved. The book features an introductory preface that alerts readers about the interactive online content. The dynamic online content includes demonstrations that are linked to specific figures in the book and an online supplement for a more comprehensive learning experience.

Whether you’re a beginner or a seasoned math enthusiast, Everyday Calculus is bound to transform your understanding and perspective of calculus. This book will convince even the most skeptical readers to view calculus in a whole new light. It’s not just about numbers and equations, but about understanding the world we live in on a deeper level. By the end of this book, you’ll not just know calculus, but you’ll live it.


  • Authors: Oscar Fernandez

  • Publisher: Princeton University Press

  • Published Date: March 07, 2017

  • Page Count: 166.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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34. Pre-Calculus Workbook For Dummies

Pre-Calculus Workbook For Dummies | Cover Image

Master pre-calculus in no time with Pre-Calculus Workbook For Dummies! This comprehensive workbook is your all-in-one guide to conquering pre-calculus, covering all the essential concepts you need to know for success. Inside, you’ll find clear and concise explanations, accompanied by countless examples, practice problems, and step-by-step solutions.

Plus, enjoy free access to a quiz for every chapter online! Prepare yourself for a calculus course or simply review the material with ease.

Perfect for both classroom work and self-paced learning, this workbook ensures you’ll have a solid grasp on key concepts, formulas, and techniques. Make pre-calculus manageable and boost your confidence with Pre-Calculus Workbook For Dummies!


  • Authors: Mary Jane Sterling

  • Publisher: John Wiley & Sons

  • Published Date: April 02, 2019

  • Page Count: 375.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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35. Calculus Essentials For Dummies

Calculus Essentials For Dummies | Cover Image

Calculus is a fundamental subject for college-bound students, and Calculus Essentials For Dummies is the perfect tool to help them master the key concepts. Authored by Mark Ryan, this book provides clear explanations of essential calculus topics, including limits, differentiation, integration, and infinite series.

Ideal for high school students reviewing for college courses or for adult learners seeking a refresher, Calculus Essentials For Dummies boasts an easy-to-understand format, focusing solely on the most critical topics. The Essentials For Dummies Series presents condensed, expert-authored guides to help students succeed in various subjects, and Calculus Essentials For Dummies is no exception. Don’t let calculus bog you down – make it a breeze with this invaluable resource.


  • Authors: Mark Ryan

  • Publisher: John Wiley & Sons

  • Published Date: April 10, 2019

  • Page Count: 192.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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36. Calculus

Calculus | Cover Image

Single and Multivariable


Calculus: Single and Multivariable, 8th Edition is a leading textbook that teaches calculus in a way that promotes critical thinking and reveals solutions to mathematical problems. Authored by the Calculus Consortium based at Harvard University, this comprehensive guide emphasizes the practical value of mathematics and highlights different perspectives for students with diverse learning styles.

In this edition, the authors maintain their focus on the Rule of Four - viewing problems graphically, numerically, symbolically, and verbally. They utilize current and relevant examples from various disciplines, such as physics, engineering, and economics, to engage students across multiple majors. The textbook provides a wealth of opportunities for students to master key mathematical concepts and skills, contributing to improved comprehension.

New in this edition are graphing questions and visualizations powered by GeoGebra, which enable complex, multi-part questions that reinforce the Rule of Four. Calculus: Single and Multivariable, 8th Edition is an ideal textbook for promoting active learning in a ‘flipped’ classroom and is perfect for students seeking to understand the intricacies of calculus.


  • Authors: Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum

  • Publisher: John Wiley & Sons

  • Published Date: November 10, 2020

  • Page Count: 1216.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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37. Quick Calculus

Quick Calculus | Cover Image

A Self-Teaching Guide


Quick Calculus: A Self-Teaching Guide is an expert MIT educators’ essential guide to mastering calculus fundamentals. This engaging, interactive guide enables readers to explore calculus techniques and applications, implementing concepts to solve real-world issues. With features like accessible introductions, hands-on self-teaching, and progressive monitoring, this 3rd edition expands with new sections, rewritten introductions, and worked examples to showcase calculus applications in various fields.

Quick Calculus is a must-have resource for students and lifelong learners aiming to build a strong foundation in calculus.


  • Authors: Daniel Kleppner, Peter Dourmashkin, Norman Ramsey

  • Publisher: John Wiley & Sons

  • Published Date: April 26, 2022

  • Page Count: 307.0

  • Print Type: BOOK

  • Categories: Mathematics

  • Maturity Rating: NOT_MATURE

  • Language: en


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