Download this PDF book: Handbook of Mathematics for Engineers and Scientists (Advances in Applied Mathematics) 1st Edition by Andrei D. Polyanin, Alexander V. Manzhirov
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.
To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.
Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. 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.
This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.
Contents:
Part I. Definitions, Formulas, Methods, and Theorems
1. Arithmetic and Elementary Algebra
2. Elementary Functions
3. Elementary Geometry
4. Analytic Geometry
5. Algebra
6. Limits and Derivatives
7. Integrals
8. Series
9. Differential Geometry
10. Functions of Complex Variable
11. Integral Transforms
12. Ordinary Differential Equations
13. First-Order Partial Differential Equations
14. Linear Partial Differential Equations
15. Nonlinear Partial Differential Equations
16. Integral Equations
17. Difference Equations and Other Functional Equations
18. Special Functions and Their Properties
19. Calculus of Variations and Optimization
20. Probability Theory
21. Mathematical Statistics
Part II. Mathematical Tables
T1. Finite Sums and Infinite Series
T2. Integrals
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
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 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 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 Mechanics and of the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation.
Professor Polyanin has made 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, which is visited by over 1000 users a day worldwide. Professor Polyanin is a member of the Editorial Board of the journal Theoretical Foundations 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 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, 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.
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 in Mechanics of Growing Solids[in Russian], Nauka, Moscow, 1991; Handbook of Integral Equations, CRC Press, Boca Raton, 1998; Handbuch der Integralgleichungen: Exacte Losungen ¨ , 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
About the book:
Publisher : Chapman and Hall/CRC; 1st edition (November 27, 2006)
Language : English
Pages : 1544
File : PDF, 47MB
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