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Calculus Of Variations With Applications

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Calculus of variations is one of the most important mathematical tools of great scientific significance used by scientistis and engineers. Unfortunately, a few books that are available are written at a level which is not easily comprehensible for postgraduate students.This book, written by a highly respected academic, presents the materials in a lucid manner so as to be within the easy grasp of the students with some background in calculus, differential equations and functional analysis. The aim is to give a thorough and systematic analysis of various aspects of calculus of variations. About The Dr. A. S. GUPTA (PH.D., D.SC.) is Professor Emeritus in Mathematics at the Indian Institute of Technology Kharagpur. A Fellow of the Indian National Science Academy as well as the National Academy of Sciences, Professor Gupta has specialized in the area of theoretical fluid mechanics Table Of Contents Preface. General Introduction. Variational Problems with Fixed Boundaries. Variational Problems with Moving Boundaries. Sufficient Conditions for an Extremum. Variational Problems with Subsidiary Conditions. Eigenvalue Problems. Direct Method in Variational Problems. Variational Formulation for Linear and Nonlinear Problems. Variational Problems in Fluid Flow and Heat Transfer. References. Index. ...

256 pages, Paperback

Published January 1, 2011

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