# Ordinary differential equations: Principles and applications

Nandakumaran, AK and Datti, PS and George, RK (2017) Ordinary differential equations: Principles and applications. [Book Chapter]

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Official URL: https://doi.org/10.1017/9781108236843

## Abstract

Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers. Contains separate chapters on first and second order linear equations and qualitative theory. Includes advanced topics such as qualitative analysis of linear and nonlinear systems. Covers many important results from variable real analysis and linear algebra. Includes plenty of real-world applications, solved examples and numerical problems.

Item Type: Book Chapter Ordinary Differential Equations: Principles and Applications Cambridge IISc Series Cambridge University Press The copyright for this article belongs to the Cambridge University Press. Division of Physical & Mathematical Sciences > Mathematics 17 Jul 2022 08:36 17 Jul 2022 08:36 https://eprints.iisc.ac.in/id/eprint/74543