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Ordinary Differential Equations: Principles and Applications (Cambridge IISc Series) - Hardcover

 
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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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A useful guide explaining principles of ordinary differential equations with focus on real-life applications. It offers detailed discussion on first and second order linear equations, qualitative theory and initial value problems. Numerous exercises, mathematical theorems and their proofs make it useful for graduate students.

About the Author

A. K. Nandakumaran received his Ph.D. from Tata Institute of Fundamental Research, Mumbai, India (TIFR). He served in TIFR for a brief period and later joined the Department of Mathematics, Indian Institute of Science as Assistant Professor, where he is currently serving as Professor. His areas of interest are partial differential equations, control and controllability problems, inverse problems and computations. He received the Sir C. V. Raman Young Scientist State Award in Mathematics in 2003.

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  • PublisherCambridge University Press
  • Publication date2017
  • ISBN 10 1108416411
  • ISBN 13 9781108416412
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages344

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Hardcover. Condition: new. Hardcover. 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. A useful guide explaining principles of ordinary differential equations with focus on real-life applications. It offers detailed discussion on first and second order linear equations, qualitative theory and initial value problems. Numerous exercises, mathematical theorems and their proofs make it useful for graduate students. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108416412

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Hardcover. Condition: new. Hardcover. 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. A useful guide explaining principles of ordinary differential equations with focus on real-life applications. It offers detailed discussion on first and second order linear equations, qualitative theory and initial value problems. Numerous exercises, mathematical theorems and their proofs make it useful for graduate students. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108416412

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