Partial differential equations: classical theory with a modern touch
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics - Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cit…
Read More ↓Title Statements
- Full title :Partial differential equations : classical theory with a modern touch / A. K. Nandakumaran, P. S. Datti.
Summary
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics - Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.
Read More ↓Edition Statements
- Publication Date:2020.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource (1 recurso electrónico (xix, 356 páginas)).
Edition Identifiers
- ISBN:9781108885171, 1108885179
- oclc:on1286779339
- Dewey Decimal:515/.353
Table of Contents
First-order partial differential equations : method of characteristics -- Hamilton-Jacobi equation -- Conservation laws -- Classification of second-order equations -- Laplace and Poisson equations -- Heat equation -- One-dimensional wave equation -- Wave equation in higher dimensions -- Cauchy-Kovalevsky theorem and its generalization -- A peep into weak derivatives, Sobolev spaces and weak formulation.
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