The Mathematical Function Computation Handbook

Author : Nelson H.F. Beebe
Publisher : Springer
Page : 1145 pages
File Size : 55,7 Mb
Release : 2017-08-20
Category : Computers
ISBN : 9783319641102

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The Mathematical-Function Computation Handbook by Nelson H.F. Beebe Pdf

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.

Author : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 55,8 Mb
Release : 1965-01-01
Category : Mathematics
ISBN : 0486612724

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Handbook of Mathematical Functions by Milton Abramowitz,Irene A. Stegun Pdf

An extensive summary of mathematical functions that occur in physical and engineering problems

Author : Louis Baker
Publisher : Computing McGraw-Hill
Page : 757 pages
File Size : 54,6 Mb
Release : 1992
Category : Mathematics
ISBN : 0079111580

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C Mathematical Function Handbook by Louis Baker Pdf

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.

Author : Frank W. J. Olver
Publisher : Cambridge University Press
Page : 968 pages
File Size : 45,7 Mb
Release : 2010-05-17
Category : Mathematics
ISBN : 9780521192255

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NIST Handbook of Mathematical Functions Hardback and CD-ROM by Frank W. J. Olver Pdf

The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 49,5 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

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Mathematics and Computation by Avi Wigderson Pdf

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

Author : Milton Abramowitz,Irene A Stegun
Publisher : Unknown
Page : 1068 pages
File Size : 49,5 Mb
Release : 1964
Category : Functions
ISBN : UCSD:31822032153579

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Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables by Milton Abramowitz,Irene A Stegun Pdf

Author : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 41,5 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486158242

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Handbook of Mathematical Functions by Milton Abramowitz,Irene A. Stegun Pdf

A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Author : Milton Abramowitz,Irene A. Stegun
Publisher : Unknown
Page : 0 pages
File Size : 42,7 Mb
Release : 1972
Category : Electronic
ISBN : OCLC:464006662

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Handbook of Mathematical Functions by Milton Abramowitz,Irene A. Stegun Pdf

Author : John W. Harris,Horst Stöcker
Publisher : Springer Science & Business Media
Page : 1064 pages
File Size : 49,5 Mb
Release : 1998-07-23
Category : Mathematics
ISBN : 0387947469

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Handbook of Mathematics and Computational Science by John W. Harris,Horst Stöcker Pdf

This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

Author : M. Abramowitz
Publisher : Unknown
Page : 1064 pages
File Size : 47,7 Mb
Release : 1970
Category : Electronic
ISBN : OCLC:441097806

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Handbook of mathematical functions by M. Abramowitz Pdf

Author : William J. Thompson
Publisher : Wiley-VCH
Page : 912 pages
File Size : 40,6 Mb
Release : 1997-08-13
Category : Computers
ISBN : UVA:X004260443

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Atlas for Computing Mathematical Functions by William J. Thompson Pdf

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.

Author : Marc Peter Deisenroth,A. Aldo Faisal,Cheng Soon Ong
Publisher : Cambridge University Press
Page : 391 pages
File Size : 48,5 Mb
Release : 2020-04-23
Category : Computers
ISBN : 9781108470049

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Mathematics for Machine Learning by Marc Peter Deisenroth,A. Aldo Faisal,Cheng Soon Ong Pdf

Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.

Author : Yudell L. Luke
Publisher : Academic Press
Page : 587 pages
File Size : 54,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262451

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Mathematical Functions and Their Approximations by Yudell L. Luke Pdf

Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.

Author : David Betounes,Mylan Redfern
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461300670

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Mathematical Computing by David Betounes,Mylan Redfern Pdf

This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.

Author : Wolfgang Scherer
Publisher : Springer Nature
Page : 764 pages
File Size : 41,6 Mb
Release : 2019-11-13
Category : Computers
ISBN : 9783030123581

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Mathematics of Quantum Computing by Wolfgang Scherer Pdf

This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.