IISGNII गुरुर ब्रह्मा गुरुर विष्णु गुरुर देवो महेश्वरः गुरुः साक्षात्परब्रह्मा तस्मै श्री गुरुवे नमः

CALCULUS OF VARIATIONS WITH APPLICATIONS-------PHI

225.00 215.00

Description:

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.

It begins with fundamentals and develops the subject to the level of research frontiers. The problems of theoretical physics, elasticity, heat transfer, hydrodynamics and hydromagnetics have been lucidly treated. The text is updated to include new topics such as variational principles of any nonlinear problem, stochastic calculus of varia-tion, variational inequalities and problems of optimum control. The text is suitable as a first course on Calculus of Variations and as a reference book for research workers in applied mechanics and theoretical physics.


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.

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