Ordinary differential equations : principles and applications

By:

Nandakumaran, A. K [Author]

Contributor(s):

Material type: Text

9781108416412

Subject(s):

Differential equations

DDC classification:

515.352 NAN / B

Online resources:

Book description, Table of contents & Reviews

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. # 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 Provided by publisher.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Book	IIT - Dharwad	MAT	515.352 NAN / B (Browse shelf(Opens below))	Course Reserved Book		4491
Book	IIT - Dharwad	MAT	515.352 NAN / B (Browse shelf(Opens below))	Available		2266

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Previous	515.352 COD / G Theory of ordinary differential equations	515.352 KRA / G A Book of problems in ordinary differential equations	515.352 NAN / B Ordinary differential equations :	515.352 NAN / B Ordinary differential equations :	515.352 OMA / B Historical developments in singular perturbations	515.352 SAN / G Ordinary differential equations and stability theory An Introduction	515.352 STR / B Nonlinear dynamics and chaos	Next

Includes bibliographical references and index.

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 Provided by publisher.

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