Ordinary differential equations: principles and applications
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 use…
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- Full title :Ordinary differential equations : principles and applications / A.K. Nandakumaran, P.S. Datti, Raju K. George.
Summary
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.
"Discusses the relevant topics including first and second order linear equations, initial value problems and qualitative theory"--
Edition Statements
- Publication Date:©2017
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:©2017
The Physical Object
- Description:1 online resource (xviii, 328 pages) : : illustrations
Edition Identifiers
- ISBN:9781108236843, 1108236847
- oclc:on1018194256
- LC Classification:QA372
- Dewey Decimal:515/.352
Table of Contents
Introduction and examples: physical models -- Preliminaries -- First and second order linear equations -- General theory of initial value problems -- Linear systems and qualitative analysis -- Series solutions: Frobenius theory -- Regular Sturm-Liouville theory -- Qualitative theory -- Two point boundary value problems -- First order partial differential equations: method of characteristics.
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