Handbook Of Integral Equations

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 0203881052
Total Pages : 1143 pages
Book Rating : 4.57/5 ( download)

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Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2008-02-12 with total page 1143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1135440816
Total Pages : 835 pages
Book Rating : 4.17/5 ( download)

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Download or read book Handbook of Nonlinear Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2004-06-02 with total page 835 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Author : Alan Jeffrey
Publisher : Elsevier
ISBN 13 : 1483295141
Total Pages : 449 pages
Book Rating : 4.45/5 ( download)

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Download or read book Handbook of Mathematical Formulas and Integrals written by Alan Jeffrey and published by Elsevier. This book was released on 2014-05-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 9780849328763
Total Pages : 816 pages
Book Rating : 4.64/5 ( download)

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Download or read book Handbook of Integral Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 1998-03-31 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine. Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science. Equations of physics, chemistry, and biology contain functions or parameters obtained from experiments - hence, they are not strictly fixed. Therefore, it is expedient to choose the structure of these functions for more easily analyzing and solving the equation. As a possible selection criterion, one may adopt the requirement that the model integral equation admit a solution in a closed form. Exact solutions can be used to verify the consistency and estimate errors of various numerical, asymptotic, and approximate methods. The first part of Handbook of Integral Equations: Contains more than 2,100 integral equations and their solutions Includes many new exact solutions to linear and nonlinear equations Addresses equations of general form, which depend on arbitrary functions Other equations contain one or more free parameters (the book actually deals with families of integral equations); the reader has the option to fix these parameters. The second part of the book - chapters 7 through 14 - presents exact, approximate analytical, and numerical methods for solving linear and nonlinear integral equations. Apart from the classical methods, the text also describes some new methods. When selecting the material, the authors emphasize practical aspects of the matter, specifically for methods that allow an effective "constructing" of the solution. Each section provides examples of applicatio

Author : Peter J. Collins
Publisher : Oxford University Press
ISBN 13 : 0198533829
Total Pages : 387 pages
Book Rating : 4.25/5 ( download)

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Download or read book Differential and Integral Equations written by Peter J. Collins and published by Oxford University Press. This book was released on 2006-08-03 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.

Author : Valentin F. Zaitsev
Publisher : CRC Press
ISBN 13 : 1420035339
Total Pages : 815 pages
Book Rating : 4.39/5 ( download)

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Download or read book Handbook of Exact Solutions for Ordinary Differential Equations written by Valentin F. Zaitsev and published by CRC Press. This book was released on 2002-10-28 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1420035320
Total Pages : 800 pages
Book Rating : 4.22/5 ( download)

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Download or read book Handbook of Linear Partial Differential Equations for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2001-11-28 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with

Author : V. I. Krylov
Publisher : Courier Corporation
ISBN 13 : 048615467X
Total Pages : 372 pages
Book Rating : 4.71/5 ( download)

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Download or read book Approximate Calculation of Integrals written by V. I. Krylov and published by Courier Corporation. This book was released on 2012-01-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1420010514
Total Pages : 1542 pages
Book Rating : 4.10/5 ( download)

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Download or read book Handbook of Mathematics for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2006-11-27 with total page 1542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

Author : I. S. Gradshteyn
Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1207 pages
Book Rating : 4.43/5 ( download)

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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.