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A01=Andrei D. Polyanin
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Handbook of Exact Solutions to Mathematical Equations

English

By (author): Andrei D. Polyanin

This reference book describes the exact solutions of the following types of mathematical equations:

Algebraic and Transcendental Equations
Ordinary Differential Equations
Systems of Ordinary Differential Equations
First-Order Partial Differential Equations
Linear Equations and Problems of Mathematical Physics
Nonlinear Equations of Mathematical Physics
Systems of Partial Differential Equations
Integral Equations
Difference and Functional Equations
Ordinary Functional Differential Equations
Partial Functional Differential Equations

The book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more. Most of these equations are of a reasonably general form and dependent on free parameters or arbitrary functions.

The Handbook of Exact Solutions to Mathematical Equations generally has no analogs in world literature and contains a vast amount of new material. The exact solutions given in the book, being rigorous mathematical standards, can be used as test problems to assess the accuracy and verify the adequacy of various numerical and approximate analytical methods for solving mathematical equations, as well as to check and compare the effectiveness of exact analytical methods.

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Product Details
  • Weight: 1380g
  • Dimensions: 178 x 254mm
  • Publication Date: 26 Aug 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: United Kingdom
  • Language: English
  • ISBN13: 9780367507992

About Andrei D. Polyanin

Andrei D. Polyanin D.Sc. Ph.D. is a well-known scientist of broad interests and is active in various areas of mathematics theory of heat and mass transfer hydrodynamics and chemical engineering sciences. He is one of the most prominent authors in the field of reference literature on mathematics. Professor Polyanin graduated with honors from the Department of Mechan- ics and Mathematics at the Lomonosov Moscow State University in 1974. Since 1975 Professor Polyanin has been working at the Ishlinsky Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences where he defended his Ph.D. in 1981 and D.Sc. degree in 1986.Professor Polyanin has made important contributions to the theory of differential and integral equations mathematical physics applied and engineering mathematics the theory of heat and mass transfer and hydrodynamics. He develops analytical methods for constructing solutions to mathematical equations of various types and has obtained a huge number of exact solutions of ordinary differential partial differential delay partial differential integral and functional equations.Professor Polyanin is an author of more than 30 books and over 270 articles and holds three patents. His books include V. F. Zaitsev and A. D. Polyanin Discrete- Group Methods for Integrating Equations of Nonlinear Mechanics CRC Press 1994; A. D. Polyanin and V. V. Dilman Methods of Modeling Equations and Analogies in Chemical Engineering CRC Press/Begell House Boca Raton 1994; A. D. Polyanin and V. F. Zaitsev Handbook of Exact Solutions for Ordinary Differential Equations CRC Press 1995 (2nd edition in 2003); A. D. Polyanin and A. V. Manzhirov Handbook of Integral Equations CRC Press 1998 (2nd edition in 2008); A. D. Polyanin Handbook of Linear Partial Differential Equations for Engineers and Scientists Chapman & Hall/CRC Press 2002 (2nd edition co-authored with V. E. Nazaikinskii in 2016); A. D. Polyanin V. F. Zaitsev and A. Moussiaux Handbook of First Order Partial Differential Equations Taylor & Francis 2002; A. D. Polyanin A. M. Kutepov et al. Hydrodynamics Mass and Heat Transfer in Chemical Engineering Taylor & Francis 2002; A. D. Polyanin and V. F. Zaitsev Handbook of Nonlinear Partial Differential Equations Chapman & Hall/CRC Press 2004 (2nd edition in 2012); A. D. Polyanin and A. V. Manzhirov Handbook of Mathematics for Engineers and Scientists Chapman & Hall/CRC Press 2007; A. D. Polyanin and V. F. Zaitsev Handbook of Ordinary Differential Equations: Exact Solutions Methods and Problems CRC Press 2018; A. D. Polyanin and A. I. Zhurov Separation of Variables and Exact Solutions to Nonlinear PDEs CRC Press 2022 and A. D. Polyanin V. G. Sorokin and A. I. Zhurov Delay Ordinary and Partial Differential Equations CRC Press 2023.Professor Polyanin is editor-in-chief of the international scientific educational website EqWorld The World of Mathematical Equations and a member of the editorial boards of several journals.

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