Handbook of Linear Partial Differential Equations for Engineers and Scientists b

Description: Handbook of Linear Partial Differential Equations for Engineers and Scientists by Andrei D. Polyanin, Vladimir E. Nazaikinskii Includes nearly 4,000 linear partial differential equations (PDEs) with solutionsPresents solutions of numerous problems relevant to heat and mass transfer, wave theory, hydrodynamics, aerodynamics, elasticity, acoustics, electrodynamics, diffraction theory, quantum mechanics, chemical engineering sciences, electrical engineering, and other fieldsOutlines basic methods for solving various problems in science and engineeringContains much more linear equations, problems, and solutions than any other book currently availableProvides a database of test problems for numerical and approximate analytical methods for solving linear PDEs and systems of coupled PDEsNew to the Second Edition More than 700 pages with 1,500+ new first-, second-, third-, fourth-, and higher-order linear equations with solutionsSystems of coupled PDEs with solutionsSome analytical methods, including decomposition methods and their applicationsSymbolic and numerical methods for solving linear PDEs with Maple, Mathematica, and MATLAB® Many new problems, illustrative examples, tables, and figuresTo accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the material in increasing order of complexity. FORMAT Hardcover LANGUAGE English CONDITION Brand New Author Biography Andrei D. Polyanin, D.Sc., is an internationally renowned scientist of broad interests and 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. Professor Polyanin graduated with honors from the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University in 1974. He received his Ph.D. in 1981 and D.Sc. in 1986 at the Institute for Problems in Mechanics of the Russian 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 applied mathematics at Bauman Moscow State Technical University and at National Research Nuclear University MEPhI. He is a member of the Russian National Committee on Theoretical and Applied Mechanics and the Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation. Professor Polyanin has authored more than 30 books in English, Russian, German, and Bulgarian as well as more than 170 research papers, three patents, and a number of fundamental handbooks. Professor Polyanin is editor-in-chief of the website EqWorld—The World of Mathematical Equations, editor of the book series Differential and Integral Equations and Their Applications, and a member of the editorial board of the journals Theoretical Foundations of Chemical Engineering, Mathematical Modeling and Computational Methods, and Bulletin of the National Research Nuclear University MEPhI. In 1991, Professor Polyanin was awarded the 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.Vladimir E. Nazaikinskii, D.Sc., is an actively working mathematician specializing in partial differential equations, mathematical physics, and noncommutative analysis. He was born in 1955 in Moscow, graduated from the Moscow Institute of Electronic Engineering in 1977, defended his Ph.D. in 1980 and D.Sc. in 2014, and worked at the Institute for Automated Control Systems, Moscow Institute of Electronic Engineering, Potsdam University, and Moscow State University. Currently he is a senior researcher at the Institute for Problems in Mechanics, Russian Academy of Sciences. He is the author of seven monographs and more than 90 papers on various aspects of noncommutative analysis, asymptotic problems, and elliptic theory. Table of Contents Exact Solutions. First-Order Equations with Two Independent Variables. First-Order Equations with Three or More Independent Variables. Second-Order Parabolic Equations with One Space Variable. Second-Order Parabolic Equations with Two Space Variables. Second-Order Parabolic Equations with Three or More Space Variables. Second-Order Hyperbolic Equations with One Space Variable. Second-Order Hyperbolic Equations with Two Space Variables. Second-Order Hyperbolic Equations with Three or More Space Variables. Second-Order Elliptic Equations with Two Space Variables. Second-Order Elliptic Equations with Three or More Space Variables. Higher-Order Partial Differential Equations. Systems of Linear Partial Differential Equations. Analytical Methods. Methods for First-Order Linear PDEs. Second-Order Linear PDEs: Classification, Problems, Particular Solutions. Separation of Variables and Integral Transform Methods. Cauchy Problem. Fundamental Solutions.Boundary Value Problems. Greens Function. Duhamels Principles. Some Transformations. Systems of Linear Coupled PDEs. Decomposition Methods. Some Asymptotic Results and Formulas. Elements of Theory of Generalized Functions. Symbolic and Numerical Solutions with Maple, Mathematica, and MATLAB®. Linear Partial Differential Equations with Maple. Linear Partial Differential Equations with Mathematica. Linear Partial Differential Equations with MATLAB®. Tables and Supplements. Elementary Functions and Their Properties. Finite Sums and Infinite Series. Indefinite and Definite Integrals. Integral Transforms. Curvilinear Coordinates, Vectors, Operators, and Differential Relations. Special Functions and Their Properties. Review Praise for the Previous Edition"… one-stop shopping for scientists and engineers who need a cookbook solution for partial differential equations. The logical organization—by type of equation … and number of variables—makes finding entries easy. … This very useful book has no competitors."—CHOICE, October 2002"… a good example of a reference information resource named Handbook. It is an information tool: comprehensive, condensed, descriptive in Contents, authoritative, and practical. … In one volume it contains over 2,000 solutions to linear partial differential equations. … It is not a solution manual to accompany a textbook, but an information resource of advanced level for professionals. … a great addition for research and academic collections."—E-Streams, Vol. 6, No. 2"… I have been reading the Polyanin books Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations. I think these books are extraordinary, and are destined to become classics. … CRC Press has provided an invaluable service to science and engineering by publishing these books."—William Schiesser, Lehigh University, Bethlehem, Pennsylvania, USAPraise for the Previous Edition"… one-stop shopping for scientists and engineers who need a cookbook solution for partial differential equations. The logical organization—by type of equation … and number of variables—makes finding entries easy. … This very useful book has no competitors."—CHOICE, October 2002"… a good example of a reference information resource named Handbook. It is an information tool: comprehensive, condensed, descriptive in Contents, authoritative, and practical. … In one volume it contains over 2,000 solutions to linear partial differential equations. … It is not a solution manual to accompany a textbook, but an information resource of advanced level for professionals. … a great addition for research and academic collections."—E-Streams, Vol. 6, No. 2"… I have been reading the Polyanin books Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations. I think these books are extraordinary, and are destined to become classics. … CRC Press has provided an invaluable service to science and engineering by publishing these books."—William Schiesser, Lehigh University, Bethlehem, Pennsylvania, USA Review Quote Praise for the Previous Edition "... one-stop shopping for scientists and engineers who need a cookbook solution for partial differential equations. The logical organization--by type of equation ... and number of variables--makes finding entries easy. ... This very useful book has no competitors." -- CHOICE , October 2002 "... a good example of a reference information resource named Handbook. It is an information tool: comprehensive, condensed, descriptive in Contents, authoritative, and practical. ... In one volume it contains over 2,000 solutions to linear partial differential equations. ... It is not a solution manual to accompany a textbook, but an information resource of advanced level for professionals. ... a great addition for research and academic collections." -- E-Streams , Vol. 6, No. 2 "... I have been reading the Polyanin books Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations . I think these books are extraordinary, and are destined to become classics. ... CRC Press has provided an invaluable service to science and engineering by publishing these books." --William Schiesser, Lehigh University, Bethlehem, Pennsylvania, USA t;I>Handbook of Linear Partial Differential Equations for Engineers and Scientists and Handbook of Exact Solutions for Ordinary Differential Equations . I think these books are extraordinary, and are destined to become classics. ... CRC Press has provided an invaluable service to science and engineering by publishing these books." --William Schiesser, Lehigh University, Bethlehem, Pennsylvania, USA Details ISBN146658145X Author Vladimir E. Nazaikinskii Publisher Taylor & Francis Inc Edition 2nd ISBN-10 146658145X ISBN-13 9781466581456 Format Hardcover Imprint CRC Press Inc Place of Publication Bosa Roca Country of Publication United States Affiliation Russian Academy of Sciences, Moscow Short Title HANDBK OF LINEAR PARTIAL DIFFE Language English Media Book Replaces 9781584882992 DEWEY 515.353 Year 2016 Illustrations 79 Tables, black and white; 28 Illustrations, black and white Publication Date 2016-01-15 AU Release Date 2016-01-15 NZ Release Date 2016-01-15 US Release Date 2016-01-15 UK Release Date 2016-01-15 Pages 1644 Edition Description 2nd edition Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. 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