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by Alexander V. Manzhirov,Andrei D. Polyanin
Download Handbook of Integral Equations fb2
Mathematics
  • Author:
    Alexander V. Manzhirov,Andrei D. Polyanin
  • ISBN:
    0849328764
  • ISBN13:
    978-0849328763
  • Genre:
  • Publisher:
    CRC Press; 1 edition (March 31, 1998)
  • Pages:
    816 pages
  • Subcategory:
    Mathematics
  • Language:
  • FB2 format
    1745 kb
  • ePUB format
    1415 kb
  • DJVU format
    1718 kb
  • Rating:
    4.7
  • Votes:
    676
  • Formats:
    txt rtf doc mobi


Andrei D. Polyanin, Alexander V. Manzhirov.

Andrei D. 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.

Download books for free. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering, the sciences, and economics. Polyanin and Alexander V. Handbook of. Integral equations. ANNOTATION More than 2100 integral equations with solutions are given in the first part of the book. p. cm. Includes bibliographical references (p. - ) and index. A lot of new exact solutions to linear and nonlinear equations are included. Special attention is paid to equations of general form, which depend on arbitrary functions. Polyanin (Author), Alexander V. Manzhirov (Author). ISBN-13: 978-1584885078. This is an outstanding work, devoted to integral equations (linear and nonlinear), can be considered as a unique book: it contains a vast number of integral equations ( 2500!!!) with corresponding analytical solutions (including new author's results) and a large collection of solving methods (analytical and numerical) appropriate for a given class of integral equations with illustrative.

Book series Differential and Integral Equations and Their Applications .

Book series Differential and Integral Equations and Their Applications, Chapman & Hall/CRC Press, Boca Raton–London. A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists, Chapman & Hall/CRC Press, Boca Raton–London, 2007. Polyanin and V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, CRC Press, Boca Raton–New York, 2003 and 1995. Category: Mathematics, Calculus, Differential equations. Handbook of mathematics for engineers and scientists. Andrei D. Category: Mathematics, References. 7 Mb. Handbook of integral equations. Category: Differential equations. 1 Mb. Category: 'Integral equations - Handbooks, manuals, et., 'EРњРѓquations inteРњРѓgrales - Guides, manuels, et., ngen.

The book by Srivastava and Buschman, which contains a large list of solution formulas for colnvolution integral equations, however, is not quoted. lt;/p

Handbook of. Alexander V. Boca Raton Boston London. More than 2100 integral equations with solutions are given in the first part of the book. A lot. of new exact solutions to linear and nonlinear equations are included.

It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and 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.

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 solutionsIncludes many new exact solutions to linear and nonlinear equationsAddresses equations of general form, which depend on arbitrary functionsOther 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

JoJosho
Excellent technical book for integral equations.
Meztihn
The book is highly recommended for engineers who use analytical models. The book contains several explicit formula and solutions allowing to avoid cumbersome numerical calculations. This feature is particularly important for solution of inverse problems, adjustment of the model to the data, for optimization, where solution of forward problem is used in algorithms for numerous times.

Sincerely,
Prof. Pavel Bedrikovetsky
Kazimi
This is an outstanding work, devoted to integral equations (linear and nonlinear), can be considered as a unique book: it contains a vast number of integral equations (>2500!!!) with corresponding analytical solutions (including new author's results) and a large collection of solving methods (analytical and numerical) appropriate for a given class of integral equations with illustrative examples.
Winotterin
I'm not a mathematician nor do I have many mathematician friends, but working on queueing theory during my master degree I started dealing with a bunch of integral equations. This book saved me weeks of looking around and reading to find the solution to Integral Equations that may or may not have a closed form solution.
Galubel
I am a chemical and petroleum engineer modelling flow in porous media. This book was extremelly useful for me to formulate flow problems allowing for analytical solutions.
Sicerely
Dr Carageorgos