Mathematical Functions Books

Welcome to our book roundup, where we delve into the world of Mathematical Functions and uncover some of the most engaging and informative books available. In this article, we take a closer look at the top Mathematical Functions Books, providing you with a clear overview of each title’s content and helping you find the perfect read for your needs.

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1. Handbook of Mathematical Functions

With Formulas, Graphs, and Mathematical Tables

Discover the profound depths of mathematics with “Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables” by authors Milton Abramowitz and Irene A. Stegun. Published by Courier Corporation, this comprehensive 1068-page book serves as an invaluable resource for navigating the complex world of mathematical functions.

Specifically designed for those tackling physical and engineering problems, the Handbook provides an extensive summary of the functions that are most commonly encountered in these fields. With a balance of formulas, graphs, and mathematical tables, this essential tool ensures that readers gain a comprehensive understanding of the subject matter.

First published in 1965, the book has garnered an impressive average rating of 4.5 out of 5.0, reflecting its esteemed status within the mathematics community. Whether you’re a seasoned expert or a novice seeking to improve your skills, this timeless masterpiece is a must-read for anyone looking to deepen their understanding of mathematical functions.

Unlock the power of mathematics and unleash your potential with “Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables. “

• Authors: Milton Abramowitz, Irene A. Stegun

• Publisher: Courier Corporation

• Published Date: January 01, 1965

• Page Count: 1068.0

• Print Type: BOOK

• Categories: Mathematics

• Average Rating: 4.5

• Ratings Count: 10.0

• Maturity Rating: NOT_MATURE

• Language: en

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4. Algorithms for the Computation of Mathematical Functions

Dive into the fascinating world of mathematical functions with Yudell L. Luke’s Algorithms for the Computation of Mathematical Functions.

This comprehensive guide covers all the essential aspects of functions from basic formulas to the advanced Chebyshev coefficients. Follow along with the author’s expertise as he provides a deep understanding of function identification and explains the intricacies of algorithms and programs in a user-friendly manner. Join the discussion and enhance your knowledge of mathematical functions with this insightful and engaging book.

• Authors: Yudell L. Luke

• Published Date: March 30, 1977

• Page Count: 312.0

• Print Type: BOOK

• Categories: Algorithms

• Maturity Rating: NOT_MATURE

• Language: en

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5. The Functions of Mathematical Physics

”The Functions of Mathematical Physics” is a timeless classic delving into the intriguing world of mathematical physics. Written by esteemed author Harry Hochstadt, this textbook offers a thorough and accessible exploration of this fascinating field.

Standing at the border of pure and applied mathematics, mathematical physics has its roots in the 18th and 19th centuries, where visionary pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel sought mathematical solutions to physical problems. Although most functions hold practical applications today, some retain their solely mathematical interest, like those related to discontinuous group theory.

This book seamlessly guides readers through essential topics such as orthogonal polynomials, gamma functions, hypergeometric functions, and Bessel functions, providing a solid understanding of their applications and properties. With chapters covering a wide range of subjects, Hochstadt’s “The Functions of Mathematical Physics” is an essential read for anyone interested in deepening their knowledge of this captivating area of study.

• Authors: Harry Hochstadt

• Publisher: Courier Corporation

• Published Date: January 01, 1986

• Page Count: 354.0

• Print Type: BOOK

• Categories: Science

• Maturity Rating: NOT_MATURE

• Language: en

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6. On Functions and Functional Equations

”On Functions and Functional Equations” is a comprehensive guide to iteration theory and the theory of functional equations, written by Smital. This engaging book introduces fundamental concepts in these fields, focusing on applications in mathematics, physics, biology, chemistry, and electronics and mechanical engineering.

Readers will find a wealth of information on classical results and more recent developments, accompanied by a range of exercises and unsolved problems. With an accessible writing style suitable for secondary school students, “On Functions and Functional Equations” offers an excellent starting point for readers entering the fascinating world of mathematics.

• Authors: Smital

• Publisher: CRC Press

• Published Date: January 01, 1988

• Page Count: 172.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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7. C Mathematical Function Handbook

Dive into the captivating world of mathematical functions with “C Mathematical Function Handbook” by Louis Baker. This comprehensive resource is published by Computing McGraw-Hill and delves deep into C source code, algorithms, and applications for a variety of scientific and engineering mathematical functions.

The book provides in-depth discussions on each function, ensuring that readers gain a comprehensive understanding of the subject matter. Alongside the technicalities, it also explores various applications and crucial references to further broaden your understanding. A bonus 3 1/2” disk is included, providing additional resources to enrich your learning experience.

With all these valuable resources under one cover, “C Mathematical Function Handbook” is the perfect choice for anyone seeking a comprehensive and practical guide to mathematical functions. Don’t miss the opportunity to explore this fascinating field of study!

• Authors: Louis Baker

• Publisher: Computing McGraw-Hill

• Published Date: March 30, 1992

• Page Count: 757.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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8. Special Functions

An Introduction to the Classical Functions of Mathematical Physics

Special Functions: An Introduction to the Classical Functions of Mathematical Physics by Nico M. Temme is an authoritative publication that offers a comprehensive exploration of the essential special functions in mathematical physics.

Particularly noteworthy in boundary value problems, the book focuses on the core principles of calculus and complex function theory, providing readers with a firm grounding in these foundational mathematical disciplines. In addition to the abundant formulas presented, the author also delves into the significant aspects of special functions, such as their behavior in asymptotic and numerical conditions.

A wealth of references to contemporary literature adds depth and relevancy to the text.

• Authors: Nico M. Temme

• Publisher: John Wiley & Sons

• Published Date: February 22, 1996

• Page Count: 398.0

• Print Type: BOOK

• Categories: Mathematics

• Average Rating: 5.0

• Ratings Count: 1.0

• Maturity Rating: NOT_MATURE

• Language: en

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9. A Primer of Real Functions

An essential guide for anyone with an interest in the study of real functions, this fourth edition of A Primer of Real Functions serves as an invaluable resource for those seeking to delve deeper into the theory of functions of a real variable. With a friendly, conversational tone, renowned authors Ralph P. Boas and Harold P. Boas present a thoroughly revised and expanded edition of this classic work, first published over 25 years ago. This volume, now enriched with additional sections on measurable sets and functions, Lebesgue and Stieltjes integrals, as well as applications, offers readers a wealth of knowledge on the topic.

While not intended as a systematic treatise, the book is rather a collection of intriguing topics related to real functions, often uncovered in a sequence of captivating lectures. It covers lesser-known subject matter that may not typically be encountered in undergraduate textbooks, such as continuous functions that oscillate everywhere, the universality chord theorem, functions with equal derivatives and differing by a constant, and, remarkably, the application of Stieltjes integration in determining the speed of convergence of infinite series. A Primer of Real Functions effectively recaptures the sense of fascination that once surrounded the subject in its early days, making it an absolute must for mathematics libraries.

• Authors: Ralph P. Boas, Harold P. Boas

• Publisher: Cambridge University Press

• Published Date: March 30, 1996

• Page Count: 330.0

• Print Type: BOOK

• Categories: Mathematics

• Average Rating: 5.0

• Ratings Count: 1.0

• Maturity Rating: NOT_MATURE

• Language: en

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10. Atlas for Computing Mathematical Functions

An Illustrated Guide for Practitioners with Programs in Fortran 90 and Mathematica

Embark on a mathematical adventure with “Atlas for Computing Mathematical Functions, ” a comprehensive and visually stunning guide authored by William J. Thompson. Published by Wiley-VCH, this expert reference merges analysis, algorithms, and computer implementation to deliver an unparalleled learning experience.

Spanning over 900 pages, the book features more than 150 special functions of the applied sciences, all accompanied by 700 graphics. Users can explore these functions through a dynamic CD-ROM inclusion, allowing them to create a visual representation of mathematical concepts.

Not limited to theory, “Atlas for Computing Mathematical Functions” also provides programs in Fortran 90 and Mathematica, catering to a wide range of learning preferences. By seamlessly integrating computation and education, this reference offers practitioners a valuable tool to build their mathematical prowess.

Whether you’re an aspiring scientist, engineer, or mathematician, this illustrated guide will serve as an essential companion on your intellectual journey. Don’t miss the opportunity to deepen your understanding of mathematical functions with “Atlas for Computing Mathematical Functions”.

• Authors: William J. Thompson

• Publisher: Wiley-VCH

• Published Date: August 13, 1997

• Page Count: 912.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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11. Functions, Data and Models

An Applied Approach to College Algebra

”Functions, Data and Models” by Sheldon P. Gordon and Florence S. Gordon is an innovative college algebra textbook that offers an applied approach to the subject.

Rather than focusing solely on algebraic manipulations, the authors strive to create a balance between geometric, numerical, symbolic, and statistical perspectives. In this unique manner, the book introduces real-world scenarios that enable students to grasp algebraic concepts more effectively.

The authors have notably integrated significant amounts of statistical reasoning and techniques as natural extensions of traditional college algebra subjects. This comprehensive approach aims to cultivate logical thinking and a solid understanding of the subject matter, making this an excellent choice for college-level algebra studies.

• Authors: Sheldon P. Gordon, Florence S. Gordon

• Publisher: MAA

• Published Date: March 30, 2010

• Page Count: 511.0

• Print Type: BOOK

• Categories: Algebra

• Maturity Rating: NOT_MATURE

• Language: en

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12. NIST Handbook of Mathematical Functions Hardback and CD-ROM

”Introducing the latest authority on mathematical functions, the NIST Handbook of Mathematical Functions by the National Institute of Standards and Technology (U. S. ). Replacing the iconic but outdated handbook by Abramowitz and Stegun, this comprehensive reference is a must-have for experts and beginners alike. It continues to provide invaluable information on mathematical functions, while offering a user-friendly experience through a searchable CD-ROM and a downloadable PDF version.

Experience a seamless blend of classic wisdom and cutting-edge innovation in this landmark reference. “.

• Authors: National Institute of Standards and Technology (U.S.)

• Publisher: Cambridge University Press

• Published Date: May 17, 2010

• Page Count: 968.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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13. Functions, Spaces, and Expansions

Mathematical Tools in Physics and Engineering

”Functions, Spaces, and Expansions: Mathematical Tools in Physics and Engineering” by Ole Christensen is a graduate-level textbook that delves into essential mathematical tools in analysis, designed to benefit students, researchers, and professionals across science and engineering. Focused on key topics that play a critical role in areas beyond pure mathematics, this text offers readers a comprehensive understanding of the fundamental principles and tools utilized in exploring the computational aspects of physics and engineering.

To appreciate the contents of the book, readers should possess a solid foundation in linear algebra in Rn and general vector spaces, as well as expertise in basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers.

The book offers a thorough exploration of the structure of various vector spaces, specifically Hilbert spaces, and the expansion of elements within these spaces with the aid of well-defined bases. With this as a foundation, readers will be well-equipped to tackle complex problems in their respective fields.

”Functions, Spaces, and Expansions” serves as a valuable companion for any individual seeking to deepen their understanding of the mathematical tools used in modern physics and engineering applications.

• Authors: Ole Christensen

• Publisher: Springer Science & Business Media

• Published Date: May 27, 2010

• Page Count: 266.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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14. Mathematical Analysis

An Introduction to Functions of Several Variables

”Mathematical Analysis: An Introduction to Functions of Several Variables” by Mariano Giaquinta and Giuseppe Modica is a comprehensive and self-contained introduction to differential and integral calculus for functions of several variables. Covering a wide range of topics, this textbook is an essential resource for advanced undergraduate and graduate students, as well as researchers in mathematics, physics, and engineering.

The authors delve into the intricacies of differential calculus of several variables, including the differential calculus of Banach spaces. They also present the relevant results of Lebesgue integration theory, making this text an invaluable resource for those seeking to understand the complexities of functions in higher dimensions.

One of the key features of this text is the inclusion of an engaging appendix, where the authors highlight the contributions of influential mathematicians and scientists who have shaped the field of analysis. This provides readers with a broader perspective on the development of theories in this area.

Throughout the text, the authors provide numerous examples, observations, exercises, and illustrations to motivate and enhance readers’ understanding of the analysis of several variables. This makes it an engaging and accessible resource for students and researchers alike.

”Mathematical Analysis” is a well-structured, informative, and engaging introduction to the study of functions of several variables. With its concise yet comprehensive content, this text is an ideal companion for both novice and experienced mathematicians as they delve into the fascinating world of higher-dimensional calculus and analysis.

• Authors: Mariano Giaquinta, Giuseppe Modica

• Publisher: Springer Science & Business Media

• Published Date: July 25, 2010

• Page Count: 348.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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15. Special Functions

An Introduction to the Classical Functions of Mathematical Physics

”Special Functions: An Introduction to the Classical Functions of Mathematical Physics” by Nico M. Temme provides a comprehensive overview of the celebrated special functions that dominate mathematical physics, particularly in boundary value problems. Calculus and complex function theory form the foundation of this engaging text, presenting a host of formulas for readers to unravel.

The book delves deep into the asymptomatic and numerical aspects of special functions, ensuring readers are immersed in the most recent literature on the subject. Experience the essence of classical functions with “Special Functions”, a must-read for any individual seeking profound mathematical insights.

• Authors: Nico M. Temme

• Publisher: John Wiley & Sons

• Published Date: March 01, 2011

• Page Count: 392.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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16. Numbers and Functions

From a Classical-experimental Mathematician’s Point of View

”Numbers and Functions: From a Classical-experimental Mathematician’s Point of View” is a fascinating exploration of elementary functions, revealing the hidden connections between these familiar entities and topics in number theory and combinatorics. Authored by Victor H. Moll, this comprehensive tome serves as a bridge between elementary mathematics and more advanced concepts, ensuring a seamless transition for readers.

The book is meticulously crafted, with a focus on the experimental mathematics approach, allowing new ideas to surface by examining familiar calculations and proofs. It delves into the properties and applications of these functions, giving emphasis to their relevance in current mathematical software.

Throughout the book, readers are introduced to an array of topics, each contributing to the larger canvas of mathematics. The large collection of problems spanning the spectrum from verification of foundational facts to exploration of open questions serves as an invaluable resource for readers seeking to understand the subject further.

With its enlightening content, “Numbers and Functions” is a must-read for anyone with a passion for mathematics, proving valuable for both beginners and seasoned mathematicians looking to expand their horizons.

• Authors: Victor H. Moll

• Publisher: American Mathematical Soc.

• Published Date: March 30, 2012

• Page Count: 504.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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17. Handbook of Mathematical Functions

with Formulas, Graphs, and Mathematical Tables

Discover the all-in-one guide to mathematical functions with the “Handbook of Mathematical Functions. ” Compiled by esteemed authors Milton Abramowitz and Irene A. Stegun, this comprehensive resource is a must-have for anyone seeking to master special functions, standard trigonometry, and exponential-logarithmic definitions and extensions.

Divided into 29 sets of tables, this meticulously crafted book goes as far as 20 decimal places, offering unparalleled accuracy and precision. With its easy-to-use graphics and well-organized format, the “Handbook of Mathematical Functions” is the perfect reference tool for students, researchers, and professionals alike.

Whether you are studying for an exam, designing cutting-edge technologies, or simply looking to expand your mathematical knowledge, this invaluable book will provide you with the information you need to succeed. Don’t miss your chance to experience the unmatched practicality and ease of use offered by the “Handbook of Mathematical Functions. “

Available now from Courier Corporation, get your hands on this essential Mathematics resource and elevate your understanding to new heights.

• Authors: Milton Abramowitz, Irene A. Stegun

• Publisher: Courier Corporation

• Published Date: April 30, 2012

• Page Count: 1068.0

• Print Type: BOOK

• Categories: Mathematics

• Average Rating: 5.0

• Ratings Count: 1.0

• Maturity Rating: NOT_MATURE

• Language: en

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18. The Functions of Mathematical Physics

Experience the interplay of pure and applied mathematics like never before with “The Functions of Mathematical Physics. ” This modern classic by Harry Hochstadt provides an all-encompassing exploration of the critical role mathematics plays in solving complex physical problems. This incisive textbook delves into pivotal topics, such as orthogonal polynomials, the gamma function, and the Bessel functions, among many others.

Hochstadt deftly presents a rich historical context without compromising the reader’s understanding. From Gauss and Euler’s pioneering efforts in the 18th and 19th centuries to the present day, Hochstadt illustrates the profound impact and timeless value of mathematical physics in the quantum realm.

The thoughtful pedagogy and detailed explanations of this textbook empower readers to forge their own understanding of the functions of mathematical physics, from solving complex equations to understanding the nuances of Laplace’s equation. “The Functions of Mathematical Physics” is an indispensable companion for students and professionals alike who seek to unlock the secrets of this fascinating and vital area of study.

• Authors: Harry Hochstadt

• Publisher: Courier Corporation

• Published Date: April 30, 2012

• Page Count: 354.0

• Print Type: BOOK

• Categories: Science

• Maturity Rating: NOT_MATURE

• Language: en

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19. Mathematical Analysis

Approximation and Discrete Processes

Mathematical Analysis: Approximation and Discrete Processes, by renowned authors Mariano Giaquinta and Giuseppe Modica, promises to be a comprehensive guide to tackling a variety of topics in the realm of mathematical analysis. This engaging book is designed for readers with even a basic understanding of calculus and functions of a single variable—making it a perfect text for both students and professionals looking to enhance their knowledge and skills.

Embracing a broad range of subjects, this volume is filled with exquisite illustrations, captivating examples, and a wealth of exercises to help solidify your understanding. An extensive index complements the text, making it easily accessible and practical for study or reference. With its insightful content and approachable writing style, this book is an essential addition to any mathematical library, offering an enriching learning experience for readers of all levels.

• Authors: Mariano Giaquinta, Giuseppe Modica

• Publisher: Springer Science & Business Media

• Published Date: August 31, 2012

• Page Count: 399.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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20. Kernel Functions and Elliptic Differential Equations in Mathematical Physics

”Kernel Functions and Elliptic Differential Equations in Mathematical Physics” by Stefan Bergman and Menahem Schiffer offers a comprehensive and unified approach to the theory of boundary value problems in partial differential equations. Delving into the complexities of elliptic differential equations, the book provides an in-depth understanding of this crucial topic in mathematical physics. With a focus on a variety of applications within the field, the authors offer a thorough introduction to the subject matter that is both accessible and engaging for readers of all skill levels.

As a trusted source on mathematics, this book is an essential resource for anyone seeking a deeper understanding of the complexities and intricacies of Kernel Functions and Elliptic Differential Equations in Mathematical Physics.

• Authors: Stefan Bergman, Menahem Schiffer

• Publisher: Courier Corporation

• Published Date: January 23, 2013

• Page Count: 450.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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21. Special Functions of Mathematical Physics

A Unified Introduction with Applications

A must-read for Physics students, Special Functions of Mathematical Physics offers a unified introduction to special functions, essential in mathematical physics and quantum mechanics. The authors strive to simplify the application of the theory in other natural sciences.

The text covers various types of special functions, including classical or orthogonal polynomials on both uniform and nonuniform lattices. Its numerous applications in physics are of particular interest.

• Authors: NIKIFOROV, UVAROV

• Publisher: Springer Science & Business Media

• Published Date: November 11, 2013

• Page Count: 427.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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22. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

”Handbook of Mathematical Functions” is a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. It is a monumental piece of work that satisfies the needs of scientists in all fields.

The book contains 29 sets of tables, and each section is prefaced by a list of related formulas and graphs. The numerical methods involved in using the tables are explained, along with a bibliography and numerical examples. This low-cost edition is an essential aid in all scientific and engineering research, problem solving, experimentation, and field work.

• Authors: Milton Abramowitz, Irene Stegun

• Published Date: April 18, 2014

• Page Count: 1064.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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23. Mathematical Functions and Their Approximations

Discover the fascinating world of mathematical functions with the updated version of “Mathematical Functions and Their Approximations” by Yudell L. Luke. This comprehensive work, part of the Applied Mathematics Series 55 Handbook, explores the ever-evolving landscape of mathematics in the era of high-speed computing.

Organized into 14 insightful chapters, this book delves into the machinery behind the expansion of the generalized hypergeometric function and other functions using infinite series of Jacobi and Chebyshev polynomials of the first kind. It further provides you with numerical coefficients for Chebyshev expansions of the more common functions, giving you practical insights.

Additionally, this book showcases polynomial and rational approximations for special classes of G-functions, providing the coefficients in the early polynomials of these rational approximations, along with the Padé approximations for numerous elementary functions and the incomplete gamma functions.

As you traverse the final chapters, you will encounter the analytic approximations and expansions, shedding light on the development of these concepts. Suitable for mathematicians, advanced mathematics students, and researchers, this invaluable resource is an essential addition to your library.

Embrace the power of mathematical functions and their approximations with Yudell L. Luke’s “Mathematical Functions and Their Approximations. “

• Authors: Yudell L. Luke

• Publisher: Academic Press

• Published Date: May 10, 2014

• Page Count: 586.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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24. Computer-Hardware Evaluation of Mathematical Functions

”Computer-Hardware Evaluation of Mathematical Functions” is a comprehensive and easily understandable guide to the methods used in computer hardware for evaluating mathematical functions. Authored by Amos Omondi, the book delves into the technical aspects of reciprocals, square-roots, exponentials, logarithms, trigonometric functions, hyperbolic functions, and more.

The author does not only explain how these methods work but also explores their mathematical basis, their effectiveness, and how to implement them in hardware. This book is perfect for students and researchers looking for an expansive yet accessible explanation of how computer chips handle mathematical functions.

• Authors: Amos OMONDI

• Publisher: World Scientific

• Published Date: October 22, 2015

• Page Count: 433.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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25. Computer-Hardware Evaluation of Mathematical Functions

Computer-Hardware Evaluation of Mathematical Functions is a comprehensive guide that provides an up-to-date understanding of the methods used in computer hardware for evaluating mathematical functions such as reciprocals, square-roots, exponentials, logarithms, and trigonometric functions. This informative book is divided into four core themes, CORDIC, normalization, table look-up, and polynomial approximations, which are explored in detail.

It features an in-depth analysis of the mathematical derivation and basis of each method, discussing their effectiveness and potential errors. The content is suitable for students and researchers seeking a thorough, yet easily accessible explanation of how computer chips evaluate mathematical functions. By utilizing this book, readers can gain a strong foundation in computer arithmetic, elementary functions, and computer architecture, making it an indispensable resource for individuals interested in the hardware and software aspects of computer chips.

• Authors: Amos Omondi

• Publisher: World Scientific

• Published Date: October 22, 2015

• Page Count: 432.0

• Print Type: BOOK

• Categories: Computers

• Maturity Rating: NOT_MATURE

• Language: en

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26. The Mathematical-Function Computation Handbook

Programming Using the MathCW Portable Software Library

The Mathematical-Function Computation Handbook is a comprehensive guide to programming using the MathCW Portable Software Library. Authored by Nelson H. F. Beebe, this handbook covers elementary and special functions of mathematics, expanding their support in major programming languages beyond their international standards. The book focuses on the C language, providing insights into floating-point and integer arithmetic, software portability, and historical architectures. It also offers a unique approach to mathematical-function computation using decimal arithmetic.

The Mathematical-Function Computation Handbook is an invaluable resource for advanced undergraduates, numerical analysts, and others interested in building on research from the mathematical software community over the past few decades. Its versatile appendices provide interfaces to numerous other languages, including Ada, C#, C++, Fortran, Java, and Pascal. The book presupposes basic familiarity with computer programming and early level algebra, making it a valuable learning tool. This highly practical text is a must-read for anyone seeking to dive into the intricacies of mathematical-function computation.

• Authors: Nelson H.F. Beebe

• Publisher: Springer

• Published Date: August 20, 2017

• Page Count: 1145.0

• Print Type: BOOK

• Categories: Computers

• Maturity Rating: NOT_MATURE

• Language: en

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27. Handbook of Function and Generalized Function Transformations

Unveil the magic of mathematical tools with “Handbook of Function and Generalized Function Transformations” by Ahmed I. Zayed.

A comprehensive compendium of function transformations, this publication unlocks the power of these transforms for problem-solving in various fields of engineering and the physical sciences. Covering both classical and newer transforms, including wavelets, Zak, and Radon, the author provides quick, easy-to-access formulas and properties that make complex problems manageable. This invaluable reference book is perfect for professionals seeking a practical guide to function and generalized function transformations, making it an indispensable addition to any library of applied mathematics and electrical engineering.

• Authors: Ahmed I. Zayed

• Publisher: CRC Press

• Published Date: August 21, 2019

• Page Count: 684.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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28. Lectures on Orthogonal Polynomials and Special Functions

Embark on a captivating journey through the world of orthogonal polynomials and special functions with Lectures on Orthogonal Polynomials and Special Functions. This comprehensive text, penned by the esteemed authors Howard S. Cohl and Mourad E. H. Ismail, delves into the intricacies of graduate-level studies, offering readers a deep dive into five key areas of research.

With its rich and diverse content, this book stands as a reliable and trusted resource for academics, professionals, and students alike. Lectures on Orthogonal Polynomials and Special Functions encapsulates the expertise of these international experts, ensuring readers receive an enriching and insightful experience. Prepare for a challenging yet rewarding adventure as you explore the complexities of orthogonal polynomials and special functions.

• Authors: Howard S. Cohl, Mourad E. H. Ismail

• Publisher: Cambridge University Press

• Published Date: October 15, 2020

• Page Count: 351.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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29. Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions

”Encyclopedia of Special Functions: The Askey-Bateman Project, Volume 2: Multivariable Special Functions” is the second volume of a comprehensive update to the renowned Bateman Manuscript Project. This work delves into the world of multivariable special functions, a field that has witnessed revolutionary developments since the Bateman project’s inception.

Written by esteemed authors Tom H. Koornwinder and Jasper V. Stokman, this volume covers a wide range of topics such as Dunkl theory, Macdonald theory, and the deep generalizations of classical hypergeometric functions in the multi-variable context, including the elliptic level. The 12 chapters offer an in-depth look at this subject matter, providing extensive bibliographies for further exploration.

The focus on the close relationship between the subject and Lie theory, geometry, mathematical physics, and combinatorics enhances the reader’s understanding of the multivariable special functions’ broader implications. With this volume, readers can expect a thorough and engaging journey through a critical aspect of mathematics.

• Authors: Tom H. Koornwinder, Jasper V. Stokman

• Publisher: Cambridge University Press

• Published Date: October 31, 2020

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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30. Introduction to Mathematical Functions

11000 Practice Exercise Problems on Polynomial Functions and Pre-Calculus

”Introduction to Mathematical Functions” offers a deep dive into the essentials of functions for beginners and seasoned mathematicians alike. With a focus on polynomial functions and pre-calculus, this comprehensive guide covers theory, solved examples, and practice exercises, making it the perfect foundational resource for understanding the core concept of functions and the profound consequences it leads to.

Authored by Norman Sanko, this book marks the beginning of an insightful series that aims to simplify and solidify the learning experience around functions and functional analysis. Starting with linear and higher order polynomial functions, this book also delves into the inverse of a function, the concept of function zero(s), and the practical applications of these learnings.

Designed to act as both an introductory or refresher course for mathematics enthusiasts, “Introduction to Mathematical Functions” is also a rigorous training ground for further developments in the field. By meticulously completing the extensive drill worksheets, learners will establish a robust foundation that can withstand any challenges related to functions, relations, and mappings.

Upcoming editions in the series are expected to explore trigonometric and exponential functions, as well as delve deeper into concepts of limits, continuity, and differentiability. So, whether you’re starting your mathematical journey or revisiting these concepts, “Introduction to Mathematical Functions” promises to be a valuable companion for success in this field.

• Authors: Norman Sanko

• Published Date: January 21, 2021

• Page Count: 758.0

• Print Type: BOOK

• Maturity Rating: NOT_MATURE

• Language: en

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31. Spherical Functions of Mathematical Geosciences

A Scalar, Vectorial, and Tensorial Setup

Discover the enlarged second edition of “Spherical Functions of Mathematical Geosciences” by esteemed authors Willi Freeden and Michael Schreiner. This comprehensive guide delves into the theory of spherical functions in mathematical geosciences, offering a consistent and unified overview for readers.

Experience a fascinating transition from scalar to vectorial and tensorial theory of spherical harmonics, all in a coordinate-free context. Learn about addition theorems, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions.

As you delve deeper into the book, you’ll explore the transition from spherical harmonics to Dirac kernels, making important connections that classify the space/frequency (momentum) behavior of the functions. This is particularly valuable for data analysis and geo-application purposes.

With a carefully organized collection of spherical functions, this work effectively models and simulates phenomena and processes occurring in the Earth’s system. The result is a timeless contribution to (geo-)mathematical research and teaching, reflecting the present state of knowledge while maintaining its relevance in the long term.

”Spherical Functions of Mathematical Geosciences” offers a compelling and accessible journey through the world of geosciences, making it an essential addition to any Earth sciences collection.

• Authors: Willi Freeden, Michael Schreiner

• Publisher: Springer Nature

• Published Date: March 30, 2022

• Page Count: 729.0

• Print Type: BOOK

• Categories: Earth sciences

• Maturity Rating: NOT_MATURE

• Language: en

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32. Special Functions and their Application

”Special Functions and their Application” is a concise and informative text that delves into the world of special functions, their significance, and practical applications. Authored by Bipin Singh Koranga, Sanjay Kumar Padaliya, and Vivek Kumar Nautiyal, this book by CRC Press offers a comprehensive guide to understanding key mathematical functions and their roles in various fields of study.

The authors take readers on a journey through the Gamma function, the Probability Integral, and related functions, Spherical Harmonics Theory, The Bessel function, Hermite polynomials, and Laguerre polynomials. Each chapter meticulously explains these functions, providing clear and detailed descriptions that cater to both beginners and experienced readers.

To ensure a deeper and more thorough understanding, the authors have included various examples for students to work through, enabling them to apply the functions in real-life scenarios. This approach fosters a hands-on learning experience that is both engaging and enlightening.

”Special Functions and their Application” serves as an invaluable resource for students, researchers, and professionals seeking to expand their knowledge of the subject. The book’s publication by CRC Press, a renowned leader in scientific and technical publishing, further cements its credibility.

Don’t miss the opportunity to explore the captivating world of special functions and their remarkable impact on mathematical analysis, functional analysis, geometry, physics, and beyond. Get your copy of “Special Functions and their Application” today!

• Authors: Bipin Singh Koranga, Sanjay Kumar Padaliya, Vivek Kumar Nautiyal

• Publisher: CRC Press

• Published Date: September 01, 2022

• Page Count: 123.0

• Print Type: BOOK

• Categories: Mathematics

• Maturity Rating: NOT_MATURE

• Language: en

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