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HandBook of Mathematics for Engineers and Scientists by Andrei D. Polyanin and Alexander V. Manzhirov
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HandBook of Mathematics for Engineers and Scientists written by
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 1974. He received his Ph.D. 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 inMechanics of the Russian Academy of Sciences; he is also Professor ofMathematics at BaumanMoscow State Technical University. He is amember of the Russian National Committee on Theoretical and Applied Mechanics and of the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation.
Professor Polyanin hasmade important contributions to exact and approximate analytical methods in the theory of differential equations, mathematical physics, integral equations, engineering mathematics, theory of heat and mass transfer, and chemical hydrodynamics. He has 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 Equations, CRC 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 Partial Differential Equation, Chapman & Hall/CRC Press, 2004.
Professor Polyanin is editor of the book series Differential and Integral Equations and Their Applications, Chapman & Hall/CRC Press, London/Boca Raton, and Physical and Mathematical Reference Literature, Fizmatlit, Moscow. He is also Editor-in-Chief of the international scientific-educational Website EqWorld—The World of Mathematical Equations (http://eqworld.ipmnet.ru), which is visited by over 1000 users a day worldwide. Professor Polyanin is amember of the EditorialBoard of the journal TheoreticalFoundations of Chemical Engineering.
In 1991, Professor Polyanin was awarded a Chaplygin Prize of the Russian Academy of Sciences for his research in mechanics. In 2001, he received an award from the Ministry of Education of the Russian Federation.
Alexander V. Manzhirov , D.Sc., Ph.D., is a noted scientist in the fields of mechanics and applied mathematics, integral equations, and their applications. After graduating with honors from the Department of Mechanics and Mathematics of Rostov State University in 1979, Professor Manzhirov attended postgraduate courses at Moscow Institute of Civil Engineering. He received his Ph.D. in 1983 from Moscow Institute 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 the Department of AppliedMathematics 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, mechanics, and computer science of the Russian Foundation for Basic Research. He is a member of the Russian National Committee on Theoretical and Applied Mechanics and the European Mechanics Society (EUROMECH), and a member of the editorial board of the journal Mechanics of Solids and the international scientific-educational Website EqWorld—The World of Mathematical Equations (http://eqworld.ipmnet.ru).
Professor Manzhirov has made important contributions to new mathematical methods for solving problems in the fields of integral equations and their applications, mechanics of growing solids, contact mechanics, tribology, viscoelasticity, and creep theory. He is the author of ten books (including Contact Problems inMechanics of Growing Solids [in Russian], Nauka, Moscow, 1991; Handbook of Integral Equations, CRC Press, Boca Raton, 1998; Handbuch der Integralgleichungen: Exacte L¨osungen, Spektrum Akad. Verlag, Heidelberg, 1999; Contact Problems in the Theory of Creep [in Russian], National Academy of Sciences of Armenia, Erevan, 1999), more than 70 research papers, and two patents. Professor Manzhirov is a winner of the First Competition of the Science Support Foundation 2001, Moscow.
This book can be viewed as a reasonably comprehensive compendium of mathematical definitions, formulas, and theorems intended for researchers, university teachers, engineers, and students of various backgrounds in mathematics. The absence of proofs and a concise presentation has permitted combining a substantial amount of reference material in a single volume.
When selecting the material, the authors have given a pronounced preference to practical aspects, namely, to formulas, methods, equations, and solutions that are most frequently used in scientific and engineering applications. Hence some abstract concepts and their corollaries are not contained in this book.
• This book contains chapters on arithmetics, elementary geometry, analytic geometry, algebra, differential and integral calculus, differential geometry, elementary and special functions, functions of one complex variable, calculus of variations, probability theory, mathematical statistics, etc. Special attention is paid to formulas (exact, asymptotical, and approximate), functions, methods, equations, solutions, and transformations that are of frequent use in various areas of physics, mechanics, and engineering sciences.
• The main distinction of this reference book from other general (nonspecialized) mathematical reference books is a significantly wider and more detailed description of methods for solving equations and obtaining their exact solutions for various classes of mathematical equations (ordinary differential equations, partial differential equations, integral equations, difference equations, etc.) that underlie mathematical modeling of numerous phenomena and processes in science and technology. In addition to well-known methods, some new methods that have been developing intensively in recent years are described.
• For the convenience of a wider audience with different mathematical backgrounds, the authors tried to avoid special terminology whenever possible. Therefore, some of the methods and theorems are outlined in a schematic and somewhat simplified manner, which is sufficient for them to be used successfully in most cases. Many sections were written so that they could be read independently. The material within subsections is arranged in increasing order of complexity. This allows the reader to get to the heart of the matter quickly.
Title: HandBook of Mathematics for Engineers and Scientists
Author(s): Andrei D. Polyanin, Alexander V. Manzhirov
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• Download PDF Handbook First Order PDEs by Andrei Polyanin, Zaitsev, Moussiaux
• Download PDF Handbook Linear PDEs (2E) Engineers by Andrei Polyanin, Nazaikinskii
• Download PDF Handbook Nonlinear PDEs (2E) by Andrei Polyanin, Zaitsev
• Download PDF Handbook ODEs by Andrei Polyanin, Zaitsev
• Download PDF Handbook Integral Equations (2E) by Andrei Polyanin, Manzhirov
• Download PDF Handbook Engineering Mathematics by Andrei Polyanin, Manzhirov
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HandBook of Mathematics for Engineers and Scientists written by
Andrei D. Polyanin, Alexander V. Manzhirov
cover the following topics.
Part I. Definitions, Formulas, Methods, and Theorems
1. Arithmetic and Elementary Algebra
2. Elementary Functions
3. Elementary Geometry
4. Analytic Geometry
6. Limits and Derivatives
9. Differential Geometry
10. Functions of Complex Variable
11. Integral Transforms
12. Ordinary Differential Equations
13. First-Order Partial Differential Equations
Part II. Mathematical Tables
T1. Finite Sums and Infinite Series
T3. Integral Transforms
T4. Orthogonal Curvilinear Systems of Coordinate
T5. Ordinary Differential Equations
T6. Systems of Ordinary Differential Equations
T7. First-Order Partial Differential Equations
T8. Linear Equations and Problems of Mathematical Physics
T9. Nonlinear Mathematical Physics Equations
T10. Systems of Partial Differential Equations
T11. Integral Equations
T12. Functional Equations
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