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  1. Home
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  3. Ordinary Differential Equations
  • Cited by 4
  • A. K. Nandakumaran, Indian Institute of Science, Bangalore, P. S. Datti, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, Raju K. George, Indian Institute of Space Science and Technology, Thiruvanantpuram
Publisher:
Cambridge University Press
Online publication date:
December 2017
Print publication year:
2017
Online ISBN:
9781108236843
DOI:
https://doi.org/10.1017/9781108236843
Subjects:
Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Electronic, Optoelectronic Devices, and Nanotechnology, Fluid Dynamics and Solid Mechanics, Mathematical Methods
Series:
Cambridge IISc Series
Information

Book description

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.

Reviews

'The articles in the book are neatly presented, … written in academic style with long lists of references at the end.'

David Hopkins Source: The Mathematical Gazette

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