Notes, Problems and Solutions in Differential Equations (Paperback)

A.K. Nandakumaran

ISBN 10: 1009610023 / ISBN 13: 9781009610025

Published by Cambridge University Press, Cambridge, 2025

About this Item

Paperback. 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 SturmLiouville 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. Meant for senior undergraduates and graduates of mathematics, physics, engineering and biology, this book enables an understanding of ordinary and partial differential equations through analysis, geometry and linear algebra. It includes carefully chosen problems from topics of traditional courses along with those from control theory and kinematics. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781009610025

Bibliographic Details

• Title: Notes, Problems and Solutions in Differential Equations (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2025
• Language: English
• ISBN 10: 1009610023
• ISBN 13: 9781009610025
• Binding: Paperback
• Condition: new

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.