Notes, Problems and Solutions in Differential Equations - Softcover

A. K.

 
9781009610025: Notes, Problems and Solutions in Differential Equations
Softcover
ISBN 10: 1009610023 ISBN 13: 9781009610025
Publisher: Cambridge University Press, 2025

Synopsis

This book is designed for senior undergraduate and graduate students pursuing courses in mathematics, physics, engineering and biology. The text begins with a study of ordinary differential equations. The concepts of first- and second-order equations are covered initially. It moves further to linear systems, series solutions, regular Sturm–Liouville theory, boundary value problems and qualitative theory. Thereafter, partial differential equations are explored. Topics such as first-order partial differential equations, classification of partial differential equations and Laplace and Poisson equations are also discussed in detail. The book concludes with heat equation, one-dimensional wave equation and wave equation in higher dimensions. It highlights the importance of analysis, linear algebra and geometry in the study of differential equations. It provides sufficient theoretical material at the beginning of each chapter, which will enable students to better understand the concepts and begin solving problems straightaway.

"synopsis" may belong to another edition of this title.

About the Authors

A. K. Nandakumaran is Chairman & Professor, Department of Mathematics, Indian Institute of Science, Bangalore. He received Sir C. V. Raman Young Scientist State Award in Mathematics in 2003.

P. S. Datti is Former Faculty, Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bangalore.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2025
Language
English
ISBN 10 
1009610023
ISBN 13 
9781009610025
Binding
Paperback
Number of pages
382