Ordinary differential equations : principles and applications / A.K. Nandakumaran, P.S. Datti, Raju K. George.

Nandakumaran, A. K
Call Number
515/.352
Author
Nandakumaran, A. K., author.
Title
Ordinary differential equations : principles and applications / A.K. Nandakumaran, P.S. Datti, Raju K. George.
Physical Description
1 online resource (xviii, 328 pages) : digital, PDF file(s).
Series
Cambridge-IISc series
Notes
Title from publisher's bibliographic system (viewed on 05 Jan 2018).
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.
Added Author
Datti, P. S., author.
George, Raju K., author.
Subject
DIFFERENTIAL EQUATIONS.
Multimedia
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$a 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.
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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.
Notes
Title from publisher's bibliographic system (viewed on 05 Jan 2018).
Subject
DIFFERENTIAL EQUATIONS.
Multimedia