Notes, Problems and Solutions in Differential Equations

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A. K. Nandakumaran (Indian Institute of Science Bangalore) P.S. Datti (Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bangalore)

Notes, Problems and Solutions in Differential Equations

A. K. Nandakumaran (Indian Institute of Science Bangalore), P.S. Datti (Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bangalore)

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English

Cambridge University Press
05 June 2025

Differential calculus & equations; Mathematical modelling

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.

By: A. K. Nandakumaran (Indian Institute of Science Bangalore), P.S. Datti (Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bangalore)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
ISBN: 9781009610025
ISBN 10: 1009610023
Pages: 381
Publication Date: 05 June 2025
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

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.

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Notes, Problems and Solutions in Differential Equations

A. K. Nandakumaran (Indian Institute of Science Bangalore), P.S. Datti (Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bangalore)

$189.95 $152.13

Paperback

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