Equations of Mathematical Physics

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Release : 2013-09-16
Genre : Mathematics
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Book Rating : 364/5 ( reviews)

Equations of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equations of Mathematical Physics write by A. N. Tikhonov. This book was released on 2013-09-16. Equations of Mathematical Physics available in PDF, EPUB and Kindle. Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

Partial Differential Equations of Mathematical Physics

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Release : 1964-01-01
Genre : Science
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Book Rating : 640/5 ( reviews)

Partial Differential Equations of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Partial Differential Equations of Mathematical Physics write by S. L. Sobolev. This book was released on 1964-01-01. Partial Differential Equations of Mathematical Physics available in PDF, EPUB and Kindle. This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Mathematical Physics with Partial Differential Equations

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Release : 2012-01-20
Genre : Mathematics
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Book Rating : 110/5 ( reviews)

Mathematical Physics with Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Physics with Partial Differential Equations write by James Kirkwood. This book was released on 2012-01-20. Mathematical Physics with Partial Differential Equations available in PDF, EPUB and Kindle. Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

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Release : 2005-09-01
Genre : Mathematics
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Book Rating : 534/5 ( reviews)

Kernel Functions and Elliptic Differential Equations in Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Kernel Functions and Elliptic Differential Equations in Mathematical Physics write by Stefan Bergman. This book was released on 2005-09-01. Kernel Functions and Elliptic Differential Equations in Mathematical Physics available in PDF, EPUB and Kindle. This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

A Collection of Problems on the Equations of Mathematical Physics

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Release : 2013-11-09
Genre : Science
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Book Rating : 589/5 ( reviews)

A Collection of Problems on the Equations of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Collection of Problems on the Equations of Mathematical Physics write by Vasilij S. Vladimirov. This book was released on 2013-11-09. A Collection of Problems on the Equations of Mathematical Physics available in PDF, EPUB and Kindle. The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue in tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.