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Handbook of Integral Equations

2008-02-12 Mathematics
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Release : 2008-02-12
Genre : Mathematics
Kind : eBook
Book Rating : 052/5 ( reviews)

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Book Synopsis Handbook of Integral Equations by : Andrei D. Polyanin

Download or read book Handbook of Integral Equations written by Andrei D. Polyanin. This book was released on 2008-02-12. 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

Handbook of Integral Equations

1998-03-31 Mathematics
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Release : 1998-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 763/5 ( reviews)

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Book Synopsis Handbook of Integral Equations by : Andrei D. Polyanin

Download or read book Handbook of Integral Equations written by Andrei D. Polyanin. This book was released on 1998-03-31. 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

Handbook of Mathematical Formulas and Integrals

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Handbook of Mathematical Formulas and Integrals by : Alan Jeffrey

Download or read book Handbook of Mathematical Formulas and Integrals written by Alan Jeffrey. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: If there is a formula to solve a given problem in mathematics, it can be found 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, trigonomic and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Equations are computer-validated with Scientific WorkPlace and Mathematica. -- Back cover

Handbook of Mathematical Formulas and Integrals

2014-05-19 Mathematics
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Release : 2014-05-19
Genre : Mathematics
Kind : eBook
Book Rating : 141/5 ( reviews)

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Book Synopsis Handbook of Mathematical Formulas and Integrals by : Alan Jeffrey

Download or read book Handbook of Mathematical Formulas and Integrals written by Alan Jeffrey. This book was released on 2014-05-19. 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

Differential and Integral Equations

2006-08-03 Mathematics
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Release : 2006-08-03
Genre : Mathematics
Kind : eBook
Book Rating : 829/5 ( reviews)

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Book Synopsis Differential and Integral Equations by : Peter J. Collins

Download or read book Differential and Integral Equations written by Peter J. Collins. This book was released on 2006-08-03. 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.

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