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PHI Learning Pvt. Ltd., Jan 1, 1998 - Science - 336 pages
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This comprehensive, well organized and easy to read book presents concepts in a unified framework to establish a similarity in the methods of solutions and analysis of such diverse systems as algebraic equations, ordinary differential equations and partial differential equations. The distin-guishing feature of the book is the clear focus on analytical methods of solving equations. The text explains how the methods meant to elucidate linear problems can be extended to analyse nonlinear problems. The book also discusses in detail modern concepts like bifurcation theory and chaos.To attract engineering students to applied mathematics, the author explains the concepts in a clear, concise and straightforward manner, with the help of examples and analysis. The significance of analytical methods and concepts for the engineer/scientist interested in numerical applications is clearly brought out.Intended as a textbook for the postgraduate students in engineering, the book could also be of great help to the research students.

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quite helpful...with lots of cases.


Vector and Vector Spaces 2044
Matrices Operators and Transformations 4565
Applications to Chemical Engineering Systems 6693
Partial Differential Equations 94112
SturmLouiville Theory 113146
Separation of Variables and Fourier Transforms 147180
Greens Functions 181213
Uniqueness Conditions for Linear and Nonlinear Systems 214238
Steady State Characteristics of Nonlinear Dynamical Systems 239260
Linear Stability and Limit Cycles 261299
Secondary Bifurcations and Chaos 300323
Index 325327

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About the author (1998)

S. PUSHPAVANAM, PhD, University of Florida, is the Head of the Department of Chemical Engineering at the Indian Institute of Technology Madras. He has been actively involved in teaching and research for the past 22 years. He was a faculty in IIT Kanpur from 1989 to 1997. His research interests include mathematical modeling and simulation, nonlinear dynamics and bifurcation theory, clean energy (with emphasis on coal gasification), microfluidics and process intensification. In addition to working with the government agencies on sponsored-research projects, he has collaborated extensively with numerous industries such as Tata Beverages, Bharat Petroleum, Indian Oil, General Motors, and so forth. He is the recipient of the Fulbright Fellowship (1995) and the Rajarambapu National Award for the best engineering college teacher given by the Indian Society of Technical Education (ISTE).

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