[...]... Press, 1995 and 2003; A D Polyanin and A V Manzhirov, Handbook of Integral Equations, CRC Press, 1998; A D Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman & Hall/CRC Press, 2002; A D Polyanin, V F Zaitsev, and A Moussiaux, Handbook of First Order Partial Differential Equations, Taylor & Francis, 2002; and A D Polyanin and V F Zaitsev, Handbook of Nonlinear... Department of Applied Mathematics at Bauman Moscow State Technical University, professor of mathematics at Moscow State University of Engineering and Computer Science, vice-chairman of Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation, executive secretary of Solid Mechanics Scientific Council of the Russian Academy of Sciences, and an expert in mathematics, ... topics and methods for solving problems and equations 3 Discussion of additional issues of interest, given in the form of remarks in small print For the reader’s convenience, several long mathematical tables — finite sums, series, indefinite and definite integrals, direct and inverse integral transforms (Laplace, Mellin, and Fourier transforms), and exact solutions of differential, integral, functional, and. .. obtained exact solutions for several thousand ordinary differential, partial differential, and integral equations Professor Polyanin is an author of more than 30 books in English, Russian, German, and Bulgarian as well as more than 120 research papers and three patents He has written a number of fundamental handbooks, including A D Polyanin and V F Zaitsev, Handbook of Exact Solutions for Ordinary Differential... of Electronic Engineering Industry and his D.Sc in 1993 from the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences Since 1983, Professor Manzhirov has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences, where he is currently head of the Laboratory for Modeling in Solid Mechanics Professor Manzhirov is also head of a branch of. .. for fruitful discussions and valuable remarks We also appreciate the help of Vladimir Nazaikinskii and Grigorii Yosifian for translating several chapters of this book and are thankful to Kirill Kazakov and Mikhail Mikhin for their assistance in preparing the camera-ready copy of the book The authors hope that this book will be helpful for a wide range of scientists, university teachers, engineers, and. .. 1453 AUTHORS Andrei D Polyanin, D.Sc., Ph.D., is a well-known scientist of broad interests who is active in various areas of mathematics, mechanics, and chemical engineering sciences He is one of the most prominent authors in the field of reference literature on mathematics and physics Professor Polyanin graduated with honors from the Department of Mechanics and Mathematics of Moscow State University... in 1981 and his D.Sc in 1986 from the Institute for Problems in Mechanics of the Russian (former USSR) Academy of Sciences Since 1975, Professor Polyanin has been working at the Institute for Problems in Mechanics of the Russian Academy of Sciences; he is also Professor of Mathematics at Bauman Moscow State Technical University He is a member of the Russian National Committee on Theoretical and Applied... to (if and only if ) for all, for any there exists belongs to; a A means that a is an element of the set A does not belong to; a A means that a is not an element of the set A union (Boolean addition); A ∪ B stands for the union of sets A and B intersection (Boolean multiplication); A ∩ B stands for the intersection (common part) of sets A and B inclusion; A ⊂ B means that the set A is part of the... Mellin Transform 11.3.1 Mellin Transform and the Inversion Formula 11.3.2 Main Properties of the Mellin Transform Relation Among the Mellin, Laplace, and Fourier Transforms 11.4 Various Forms of the Fourier Transform 11.4.1 Fourier Transform and the Inverse . alt="" HANDBOOK OF MATHEMATICS FOR ENGINEERS AND SCIENTISTS C5025_C000a.indd 1 10/16/06 2:53:21 PM C5025_C000a.indd 2 10/16/06 2:53:21 PM HANDBOOK OF MATHEMATICS. 427 ReferencesforChapter10 433 11. Integral Transforms 435 11.1. GeneralFormofIntegralTransforms.SomeFormulas 435 11.1.1. IntegralTransformsandInversionFormulas 435 11.1.2. Residues.JordanLemma