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Author : Anatoliĭ Platonovich Prudnikov
Publisher : CRC Press
ISBN 13 : 9782881240904
Total Pages : 768 pages
Book Rating : 4.2/5 (49 download)
Download or read book Integrals and Series: Special functions written by Anatoliĭ Platonovich Prudnikov and published by CRC Press. This book was released on 1986 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. S. Gradshteyn
Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1207 pages
Book Rating : 4.4/5 (832 download)
Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Anatolij P. Prudnikov
Publisher :
ISBN 13 : 9782881240904
Total Pages : 0 pages
Book Rating : 4.2/5 (49 download)
Download or read book Integrals and Series written by Anatolij P. Prudnikov and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yury A. Brychkov
Publisher : CRC Press
ISBN 13 : 1584889578
Total Pages : 702 pages
Book Rating : 4.5/5 (848 download)
Download or read book Handbook of Special Functions written by Yury A. Brychkov and published by CRC Press. This book was released on 2008-05-28 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in
Author : Yury A. Brychkov
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439828984
Total Pages : 0 pages
Book Rating : 4.8/5 (289 download)
Download or read book Handbook of Integrals and Series written by Yury A. Brychkov and published by Chapman and Hall/CRC. This book was released on 2017-10-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The second volume of the set contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions. Using these tools, readers can evaluate and simplify numerous new integrals and sums.
Author : George E. Andrews
Publisher : Cambridge University Press
ISBN 13 : 9780521789882
Total Pages : 684 pages
Book Rating : 4.7/5 (898 download)
Download or read book Special Functions written by George E. Andrews and published by Cambridge University Press. This book was released on 1999 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author : Anatoliĭ Platonovich Prudnikov
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (85 download)
Download or read book Integrals and Series: Special functions written by Anatoliĭ Platonovich Prudnikov and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cornel Ioan Vălean
Publisher : Springer
ISBN 13 : 3030024628
Total Pages : 539 pages
Book Rating : 4.0/5 (3 download)
Download or read book (Almost) Impossible Integrals, Sums, and Series written by Cornel Ioan Vălean and published by Springer. This book was released on 2019-05-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 9780471113133
Total Pages : 398 pages
Book Rating : 4.1/5 (131 download)
Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 1996-02-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Author : Carlo Viola
Publisher : Springer
ISBN 13 : 3319413457
Total Pages : 172 pages
Book Rating : 4.3/5 (194 download)
Download or read book An Introduction to Special Functions written by Carlo Viola and published by Springer. This book was released on 2016-10-31 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in "higher calculus" and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.
Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 1118030818
Total Pages : 392 pages
Book Rating : 4.1/5 (18 download)
Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Author : Shanjie Zhang
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.3/5 (91 download)
Download or read book Computation of Special Functions written by Shanjie Zhang and published by Wiley-Interscience. This book was released on 1996-07-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the program's algorithms as well as specific information about each program's internal structure.
Author : Paul J. Nahin
Publisher : Springer Nature
ISBN 13 : 3030437884
Total Pages : 542 pages
Book Rating : 4.0/5 (34 download)
Download or read book Inside Interesting Integrals written by Paul J. Nahin and published by Springer Nature. This book was released on 2020-06-27 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Author : Larry C. Andrews
Publisher : SPIE Press
ISBN 13 : 9780819426161
Total Pages : 512 pages
Book Rating : 4.4/5 (261 download)
Download or read book Special Functions of Mathematics for Engineers written by Larry C. Andrews and published by SPIE Press. This book was released on 1998 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science.
Author : Refaat El Attar
Publisher : Lulu.com
ISBN 13 : 1411666909
Total Pages : 312 pages
Book Rating : 4.4/5 (116 download)
Download or read book Special Functions and Orthogonal Polynomials written by Refaat El Attar and published by Lulu.com. This book was released on 2006 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: (308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
Author : Clifford Truesdell
Publisher : Princeton University Press
ISBN 13 : 1400882370
Total Pages : 182 pages
Book Rating : 4.4/5 (8 download)
Download or read book An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 written by Clifford Truesdell and published by Princeton University Press. This book was released on 2016-03-02 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming.
Author : Valeriya Akhmedova
Publisher : Springer Nature
ISBN 13 : 3030350894
Total Pages : 116 pages
Book Rating : 4.0/5 (33 download)
Download or read book Selected Special Functions for Fundamental Physics written by Valeriya Akhmedova and published by Springer Nature. This book was released on 2019-11-14 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.
