Notes, Problems and Solutions in Differential Equations

A. K. Nandakumaran

ISBN 10: 1009610023 / ISBN 13: 9781009610025

Published by Cambridge University Press, 2025

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781009610025

Bibliographic Details

• Title: Notes, Problems and Solutions in Differential Equations
• Publisher: Cambridge University Press
• Publication Date: 2025
• Language: English
• ISBN 10: 1009610023
• ISBN 13: 9781009610025
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 21D millimeters 244 millimeters width by 170 millimeters height by 21 millimeters depth
• Weight: 658 grams

About this title

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.

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.