Variational Principles in Mathematical Physics, Geometry, and Economics
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Calculus > Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)
Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)

Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)


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About the Book

This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.

Review :
"This book is a pleasure to read. It will be an excellent source, allowing the reader to build a proper intuition and to understand the basic facts of the theory. I deeply believe that the present book is one of the most important works in its field that have appeared until now. To conclude, this book provides the reader with an in-depth introduction to a rich and rapidly developing research area that has already produced remarkable results. It is beautifully written and the reviewer strongly recommends this book to anyone seeking a stylish, balanced, up-to-date survey of this central area of nonlinear partial differential equations." Constantin Costara, Ovidius University of Constanta for Analele Stiintifice ale Universitatii Ovidius Constanta


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Product Details
  • ISBN-13: 9781107266698
  • Publisher: Cambridge University Press, India
  • Publisher Imprint: Cambridge University Press, India
  • Language: English
  • Series Title: 136 Encyclopedia of Mathematics and Its Applications
  • ISBN-10: 1107266696
  • Publisher Date: 14 May 2014
  • Binding: Digital (delivered electronically)
  • No of Pages: 386
  • Sub Title: Qualitative Analysis of Nonlinear Equations and Unilateral Problems


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Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)
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Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)
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Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems(136 Encyclopedia of Mathematics and Its Applications)

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