problems of mathematical physics lebedev, skalskaya [pdf]
Problems of Mathematical Physics by N.N. Lebedev, I.P. Skalskaya, Y.S. Uflyand, Richard A. Silverman
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About this book :-
Problems of Mathematical Physics written by
N.N. Lebedev, I.P. Skalskaya, Y.S. Uflyand, Richard A. Silverman .
The aim of the present book is to ·help the reader acquire the proficiency needed to successfully apply the methods of mathematical physics to a variety of problems drawn from mechanics, the theory of heat conduction, and the theory of electric and magnetic phenomena. A wide range of topics is covered, including not only problems of the simpler sort, but also problems of a more complicated nature involving such things as curvilinear coordinates, integral transforms, certain kinds of integral equations, etc. The book is intended both for students concomitantly studying the corresponding topics in courses of mathematical physics, and for research scientists who in their work find it necessary to carry out calculations using the methods described here.
A rather solid background in applied mathematics is needed to profit from the book in its entirety. However, most of the problems appearing in Chapters 2 to 5 will be access~ble to those who have taken only the usual first course in methods of mathematical physics. Chapters 6 to 8 are more specialized, and presuppose some familiarity with special functions, integral transforms, integral equations, and so on.
To make the book easier to use, each section begins with a brief introduction describing its contents and presenting a certain amount of relevant background information. However, it is not claimed that this information is complete in any sense, and the reader desiring further details must consult the literature, e.g., the books and monographs cited at the end of each chapter.
Book Detail :-
Title: Problems of Mathematical Physics
Author(s): N.N. Lebedev, I.P. Skalskaya, Y.S. Uflyand, Richard A. Silverman
Series: Selected Russian Publications in the Mathematical Sciences
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About Author :-
Author Vyacheslav Ivanovich Lebedev
(1930–2010) was a Russian mathematician, known for his work on numerical analysis.
He worked in many areas of computational and applied mathematics, ranging from software development for nuclear reactors modeling to approximation by polynomials, from quadrature on a sphere to numerical solution of stiff systems of PDEs, from domain decomposition and Poincaré–Steklov_operators to finite-difference methods, from iterative solvers to parallel computing. He even contributed to finding the roots of a cubic equation.
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• Download PDF Special Functions and Their Applications by N. N. Lebedev, R. A. Silverman
• Download PDF Problems of Mathematical Physics by N.N. Lebedev, I.P. Skalskaya, Y.S. Uflyand, Richard A. Silverman
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Book Contents :-
Special Functions and Their Applications written by
N. N. Lebedev, R. A. Silverman
cover the following topics.
1. DERIVATION OF EQUATIONS AND FORMULATION OF PROBLEMS
2. SOME SPECIAL METHODS FOR SOLVING HYPERBOLIC AND ELLIPTIC EQUATIONS,
3. STEADY-STATE HARMONIC OSCILLATIONS
4. THE FOURIER METHOD
5. THE EIGENFUNCTION METHOD FOR SOLVING INHOMOGENEOUS PROBLEMS
6. INTEGRAL TRANSFORMS
7. CURVILINEAR COORDINATES
8. INTEGRAL EQUATIONS
Supplement. VARIATIONAL AND RELATED METHODS
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