Integrals Related To The Error Function

Author : Nikolai E. Korotkov,Alexander N. Korotkov
Publisher : CRC Press
Page : 57 pages
File Size : 41,5 Mb
Release : 2020-03-05
Category : Mathematics
ISBN : 9781000033090

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Integrals Related to the Error Function by Nikolai E. Korotkov,Alexander N. Korotkov Pdf

Integrals Related to the Error Function presents a table of integrals related to the error function, including indefinite and improper definite integrals. Most of the formulas in this book have not been presented in other tables of integrals or have been presented only for some special cases of parameters or for integration only along the real axis of the complex plane. Many of the integrals presented here cannot be obtained using a computer (except via an approximate numerical integration). Additionally, for improper integrals, this book emphasizes the necessary and sufficient conditions for the validity of the presented formulas, including trajectory for going to infinity on the complex plane; such conditions are usually not given in computer-assisted analytical integration and often not presented in the previously published tables of integrals. Features The first book in English language to present a comprehensive collection of integrals related to the error function Useful for researchers whose work involves the error function (e.g., via probability integrals in communication theory). Additionally, it can also be used by broader audience.

Author : Nikolai E. Korotkov,Alexander N. Korotkov
Publisher : CRC Press
Page : 248 pages
File Size : 50,5 Mb
Release : 2020-03-05
Category : Mathematics
ISBN : 9781000033076

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Integrals Related to the Error Function by Nikolai E. Korotkov,Alexander N. Korotkov Pdf

The first book in English language to present a comprehensive collection of integrals related to the error function Useful for researchers whose work involves the error function (e.g., via probability integrals in communication theory). Additionally, it can also be used by broader audience.

Author : C. G. van der Laan,N. M. Temme
Publisher : Unknown
Page : 250 pages
File Size : 52,5 Mb
Release : 1984
Category : Error functions
ISBN : UOM:39015015698627

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Calculation of Special Functions by C. G. van der Laan,N. M. Temme Pdf

Author : Milton Abramowitz,Irene A. Stegun
Publisher : Courier Corporation
Page : 1068 pages
File Size : 48,8 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 : Nico M Temme
Publisher : World Scientific
Page : 628 pages
File Size : 40,8 Mb
Release : 2014-10-31
Category : Mathematics
ISBN : 9789814612173

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Asymptotic Methods for Integrals by Nico M Temme Pdf

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals. The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on. Contents:Basic Methods for IntegralsBasic Methods: Examples for Special FunctionsOther Methods for IntegralsUniform Methods for IntegralsUniform Methods for Laplace-Type IntegralsUniform Examples for Special FunctionsA Class of Cumulative Distribution Functions Readership: Researchers in applied mathematics, engineering, physics, mathematical statistics, probability theory and biology. The introductory parts and examples will be useful for post-graduate students in mathematics. Key Features:The book gives a complete overview of the classical asymptotic methods for integralsThe many examples give insight in the behavior of the well-known special functionsThe detailed explanations on how to obtain the coefficients in the expansions make the results useful for numerical applications, in particular, for computing special functionsThe many results on asymptotic representations of special functions supplement and extend those in the NIST Handbook of Mathematical FunctionsKeywords:Asymptotic Analysis;Approximation of Integrals;Asymptotic Approximations;Asymptotic Expansions;Steepest Descent Methods;Saddle Point Methods;Stationary Phase Method;Special Functions;Numerical Approximation of Special Functions;Cumulative Distribution FunctionsReviews: “The book is a useful contribution to the literature. It contains many asymptotic formulas that can be used by practitioners.” Zentralblatt MATH

Author : I. S. Gradshteyn,I. M. Ryzhik
Publisher : Academic Press
Page : 1206 pages
File Size : 41,5 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265643

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Table of Integrals, Series, and Products by I. S. Gradshteyn,I. M. Ryzhik Pdf

Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Author : Matthew Boelkins
Publisher : Createspace Independent Publishing Platform
Page : 560 pages
File Size : 41,8 Mb
Release : 2018-08-13
Category : Electronic
ISBN : 1724458329

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Active Calculus 2018 by Matthew Boelkins Pdf

Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

Author : Yudell L. Luke
Publisher : Courier Corporation
Page : 436 pages
File Size : 45,8 Mb
Release : 2014-12-17
Category : Mathematics
ISBN : 9780486789699

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Integrals of Bessel Functions by Yudell L. Luke Pdf

A massive compendium of useful information, this volume represents a valuable tool for applied mathematicians in many areas of academia and industry. A dozen useful tables supplement the text. 1962 edition.

Author : Alan Jeffrey
Publisher : Elsevier
Page : 410 pages
File Size : 54,8 Mb
Release : 2014-05-19
Category : Mathematics
ISBN : 9781483295145

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Handbook of Mathematical Formulas and Integrals by Alan Jeffrey Pdf

If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse. Special thumb-tab index throughout the book for ease of use Answers are keyed to the type of problem they solve Formulas are provided for problems across the entire spectrum of Mathematics All equations are sent from a computer-checked source code Companion to Gradshteyn: Table of Integrals, Series, and Products, Fifth Edition The following features make the Handbook a Better Value than its Competition: Less expensive More comprehensive Equations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r) Superior quality from one of the most respected names in scientific and technical publishing Offers unique thumb-tab indexing throughout the book which makes finding answers quick and easy

Author : Samuel Shaw Ming Wong
Publisher : World Scientific
Page : 524 pages
File Size : 50,8 Mb
Release : 1997
Category : Science
ISBN : 9810230435

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Computational Methods in Physics and Engineering by Samuel Shaw Ming Wong Pdf

Readership: Undergraduates, graduate students, and research scientists in computational physics, engineering, physical science, applied physics, and fractals.

Author : H. M. Srivastava,Junesang Choi
Publisher : Elsevier
Page : 675 pages
File Size : 51,8 Mb
Release : 2011-10-25
Category : Mathematics
ISBN : 9780123852182

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Zeta and Q-Zeta Functions and Associated Series and Integrals by H. M. Srivastava,Junesang Choi Pdf

Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 244 pages
File Size : 49,7 Mb
Release : 2016-07-25
Category : Computers
ISBN : 9783319324289

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Author : Alan Jeffrey,Daniel Zwillinger
Publisher : Elsevier
Page : 1200 pages
File Size : 44,9 Mb
Release : 2007-02-23
Category : Mathematics
ISBN : 0080471110

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Table of Integrals, Series, and Products by Alan Jeffrey,Daniel Zwillinger Pdf

The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom. - Fully searchable CD that puts information at your fingertips included with text - Most up to date listing of integrals, series and products - Provides accuracy and efficiency in work

Author : Cecil Hastings,J. I. Marcum
Publisher : Unknown
Page : 160 pages
File Size : 45,6 Mb
Release : 1948
Category : Functions of complex variables
ISBN : OCLC:45714085

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Tables of Integrals Associated with the Error Function of a Complex Variable by Cecil Hastings,J. I. Marcum Pdf

Author : Frank W. J. Olver
Publisher : Cambridge University Press
Page : 968 pages
File Size : 47,9 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.