Ordinary And Partial Differential Equations

Ordinary and Partial Differential Equations
20 th EDITION
This well-acclaimed book, now in its twentieth edition, continues to offer an in-depth presentation of the fundamental concepts and their applications of ordinary and partial differential equations providing systematic solution techniques. The book provides step-by-step proofs of theorems to enhance students' problem-solving skill and ncludes plenty of carefully chosen solved examples to illustrate the concepts discussed.
Designed as a textbook for undergraduate and postgraduate students of Mathematics
and Physics as well as undergraduate students of all branches of Engineering and
MIE, this book would also be useful for the aspirants of GATE, CSIR-UGC (NET) and ther competitive examinations.
Highlights:
⚫ A new chapter on "Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems"
• Clear exposition of Picard's theorem and Picard's iterative method of successive approximations
⚫ Detailed discussion on Lipschitz condition, Lipschitz constant, Lipschitz continuous function, Gronwall inequality and existence and uniqueness of solutions to first order initial value problems
For practice a number of exercises including questions asked in different university examinations, GATE, CSIR-UGC (NET) and other competitive examinations