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Equations in Mathematical Physics: A practical course de Victor P. Pikulin

Equations in Mathematical Physics: A practical course: Modern Birkhäuser Classics

Autor Victor P. Pikulin, Stanislav I. Pohozaev Traducere de Andrei Iacob
en Limba Engleză Paperback – 5 ian 2012
Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.
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Specificații

ISBN-13: 9783034802673
ISBN-10: 3034802676
Pagini: 215
Ilustrații: VIII, 207 p. 31 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.31 kg
Ediția:2001
Editura: Springer
Colecția Birkhäuser
Seria Modern Birkhäuser Classics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

​Preface.- Introduction.- Chapter 1. Elliptic problems.- Chapter 2. Hyperbolic problems.- Chapter 3. Parabolic problems.- References.- Index.

Notă biografică

Victor P. Pikulin was Professor at the Moscow Power Engineering Institute.
Stanislav I. Pohozaev is Professor at the Steklov Institute of Mathematics in Moscow.

Textul de pe ultima copertă

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demonstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.
The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.  
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[A] manual for future engineers must strongly differ from the textbook for pure mathematicians, and the book by Pikulin and Pohozaev is the good example. (…) The purpose (…)  is to offer quick access to the principal facts (…) This well written book is a reader-friendly and good-organized textbook in the field of PDE. It can be highly recommended for students of technology universities and institutes as well as for engineers.
(Zentralblatt MATH)
Each chapter contains concrete examples with a detailed analysis of their solution and ends with problems for independent study and answers to them.
(EMS Newsletter)

Caracteristici

Presents main methods and tools for solving basic problems from mathematical physics Offers quick access to principal facts and valuable tools A very good example of a valuable manual for future engineers and scientists Includes supplementary material: sn.pub/extras