A. K. Nandakumaran,
A. K. (Indian Institute of Science, Bangalore) Nandakumaran,
P. S. Datti
Cambridge University Press
e druk, 2020
9781108839808
Partial Differential Equations
Classical Theory with a Modern Touch
Specificaties
Gebonden, 374 blz.
|
Engels
Cambridge University Press |
e druk, 2020
ISBN13: 9781108839808
Rubricering
Onderdeel van serie
Cambridge IISc Serie
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781108839808
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:374
Uitgever:Cambridge University Press
Serie:Cambridge IISc Serie
Inhoudsopgave
List of illustrations; Preface; Acknowledgements; Notations; 1. Introduction; 2. Preliminaries; 3. First-order partial differential equations: method of characteristics; 4. Hamilton–Jacobi equation; 5. Conservation laws; 6. Classification of second-order equations; 7. Laplace and Poisson equations; 8. Heat equation; 9. One-dimensional wave equation; 10. Wave equation in higher dimensions; 11. Cauchy–Kovalevsky theorem and its generalization; 12. A peep into weak derivatives, Sobolev spaces and weak formulation; References; Index.