The Mathematical Function Computation Handbook
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The Mathematical Function Computation Handbook
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Author : Nelson H.F. Beebe
language : en
Publisher: Springer
Release Date : 2017-08-20
The Mathematical Function Computation Handbook written by Nelson H.F. Beebe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-20 with Computers categories.
This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.
Nist Handbook Of Mathematical Functions Hardback And Cd Rom
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Author : Frank W. J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-17
Nist Handbook Of Mathematical Functions Hardback And Cd Rom written by Frank W. J. Olver and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Mathematics categories.
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Handbook Of Mathematical Functions
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Author : Milton Abramowitz
language : en
Publisher: Courier Corporation
Release Date : 1965-01-01
Handbook Of Mathematical Functions written by Milton Abramowitz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.
An extensive summary of mathematical functions that occur in physical and engineering problems
C Mathematical Function Handbook
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Author : Louis Baker
language : en
Publisher: Computing McGraw-Hill
Release Date : 1992
C Mathematical Function Handbook written by Louis Baker and has been published by Computing McGraw-Hill this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
C source code, algorithms and applications for a wide range of valuable scientific and engineering mathematical functions. Each function is discussed in detail with algorithms, applications, and key referneces. Includes a separate 3 1/2" disk.
Mathematics And Computation
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Author : Avi Wigderson
language : en
Publisher: Princeton University Press
Release Date : 2019-10-29
Mathematics And Computation written by Avi Wigderson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Computers categories.
An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Atlas For Computing Mathematical Functions
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Author : William J. Thompson
language : en
Publisher: Wiley-VCH
Release Date : 1997-08-13
Atlas For Computing Mathematical Functions written by William J. Thompson and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-13 with Mathematics categories.
This comprehensive reference, which integrates analysis, algorithms and computer implementation, provides more than 150 special functions of the applied sciences with over 700 graphics of functions which can be created using the included CD-ROM.
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables
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Author : Milton Abramowitz
language : en
Publisher:
Release Date : 2014-04-18
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables written by Milton Abramowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-18 with Mathematics categories.
2014 Reprint of 1964 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation {6); miscellaneous functions {9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over 100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication. Preface by A. V. Astin. Foreword by Advisory Committee, Conference on Mathematical Tables. Editors' Introduction. Indices to Subjects, Notations.
Introduction To Mathematical Functions
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Author : Norman Sanko
language : en
Publisher:
Release Date : 2021-01-21
Introduction To Mathematical Functions written by Norman Sanko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-21 with categories.
Functions form an important branch of mathematics: being a core concept in precalculus at the middle and high school levels, and an important part of functional analysis at more advanced levels.Important conceptsThe concept of a function, at an introductory level, is incredibly simple, but leads to very profound consequences. The elementary concept of a black box that maps one set of numbers to another set of numbers may seem trivial, but within a few short years of being introduced to this concept, high school students can use it to explore the concepts of limits, continuity, and differentiability of functions, and to lay a solid foundation for their exploration of differential and integral calculus.Pedagogy followedThis book aims to make the introductory part of any first course in functions much easier and more rigorous to follow by providing detailed theory, solved examples, and practice exercise drills. This is the first part of my series on functions and functional analysis. To make sure that you can master the concepts at a basic level, I have concentrated on familiar functional forms in this book: starting with linear and then higher order polynomial (mainly quadratic) functions, I then devote some time to discussing the important concept of the inverse of a function, and then linking everything in this book together by showing you how to find the inverse of a polynomial function. I also introduce the concept of the zero(s) of a function - you might be familiar with this from your work on linear equations and quadratic equations.How to use this bookYou can use this book either as a quick introductory or refresher course in the field of functions. Within a 10-20 hour period, you should be able to cover the theory and the solved examples, to give yourself everything you need to move forward and use elementary functions in your work. However, the recommended way to use this book is to complete the drill worksheets as well; if you spend 50-100 hours going through every nook and cranny that this book contains, your foundation will be so strong that you will never have any fundamental doubts related to functions, relations, and mappings, ever again.Looking beyondSubsequent books in this series will focus on trigonometric and exponential functions, and on limits, continuity, and differentiability. In the end, I will also look at multivariate functions in two variables, x and y, or even more!Happy solving!
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables
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Author : Milton Abramowitz
language : en
Publisher:
Release Date : 1948
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables written by Milton Abramowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Functions categories.
Mathematics For Machine Learning
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Author : Marc Peter Deisenroth
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-23
Mathematics For Machine Learning written by Marc Peter Deisenroth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Computers categories.
Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.