Partial Differential Equations
Classical Theory with a Modern Touch
Part of Cambridge IISc Series
- Authors:
- A. K. Nandakumaran, Indian Institute of Science, Bangalore
- P. S. Datti, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore
- Date Published: October 2020
- availability: Temporarily unavailable - available from January 2025
- format: Hardback
- isbn: 9781108839808
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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- Highlights the importance of studying the equations outside the realm of classical solutions
- Separate chapters on advanced topics such as the Hamilton-Jacobi equation and conservation laws
- Explains the interplay between geometry and analysis in the existence and uniqueness of solutions in the treatment of first order equations
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: October 2020
- format: Hardback
- isbn: 9781108839808
- length: 374 pages
- dimensions: 246 x 190 x 22 mm
- weight: 0.74kg
- availability: Temporarily unavailable - available from January 2025
Table of Contents
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.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×