Convexity Methods in Variational Calculus - Bookswagon UAE
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Convexity Methods in Variational Calculus

Convexity Methods in Variational Calculus


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About the Book

This book is an introduction to the application of functional differentiation and convexity to variational calculus. It is intended for use by those whose interests lie mainly in applied mathematics but who would like a fairly concise introduction to some of these more abstract ideas. The first chapter contains a summary of those concepts from applied functional analysis which have direct relevance to the subject. These concepts include norms and inner product spaces, various properties of linear and nonlinear operators and the definition of convexity for functionals. Chapter two is concerned with the calculus of operators. The Gateaux variation and gradient are introduced and their relevance to the convexity of differentiable functionals and extremum principles is discussed. The final chapter extends the previous ideas to functionals defined on product spaces, saddle structure and dual extremum principles. Throughout, various special techniques are developed, explained and illustrated with worked examples. The treatment is kept at a reasonably intuitive level so that the reader will have techniques readily available. Also with this in mind, over 150 examples and applications have been included, mainly in the field of differential equations. These equations are usually expressed in reduced or simplified form so that the main features of the methods are not obscured by too much technical detail.


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Product Details
  • ISBN-13: 9780863800221
  • Publisher: Research Studies Press
  • Publisher Imprint: Research Studies Press
  • Height: 230 mm
  • Weight: 485 gr
  • ISBN-10: 086380022X
  • Publisher Date: 30 Jan 1985
  • Binding: Hardback
  • Language: English
  • Width: 150 mm


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