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Home > Mathematics and Science Textbooks > Mathematics > Variations, Geometry & Physics: In Honour of Demeter Krupka's Sixty-Fifth Birthday
Variations, Geometry & Physics: In Honour of Demeter Krupka's Sixty-Fifth Birthday

Variations, Geometry & Physics: In Honour of Demeter Krupka's Sixty-Fifth Birthday


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About the Book

This book is a collection of survey articles in a broad field of the geometrical theory of the calculus of variations and its applications in analysis, geometry and physics. It is a commemorative volume to celebrate the sixty-fifth birthday of Professor Krupa, one of the founders of modern geometric variational theory, and a major contributor to this topic and its applications over the past thirty-five years. All the authors invited to contribute to this volume have established high reputations in their field. The book will exclusively provide a variety of important results, techniques and applications that are usually available only by consulting original papers in many different journals. It will be of interest to researchers in variational calculus, mathematical physics and the other related areas of differential equations, natural operators and geometric structures. Also, it will become an important source of current research for doctoral students and postdoctorals in these fields.

Table of Contents:
Preface; Lepage forms in Variational Theories: From Lepage's Idea to the Variational Sequence; Lepage Forms in the Calculus of Variations; Krupka's Fundamental Lepage Equivalent and the Excess Function of Wilkins; Lepage Congruences in Discrete Mechanics; Finite Order Variational Sequences: A short review; Concatenating Variational Principles and the Kinetic; Stress-Energy-Momentum Tensor; A Geometric Hamilton-Jacobi Theory for Classical Field Theories; Natural and Gauge-natural Bundles and Natural Lagrangian Structures; Connections on Higher Order Frame Bundles and Their Gauge Analogies; Natural Lifts in Riemannian geometry; Invariant Variational Problems and Invariant Flows Via Moving Frames; Differential Invariants of the Motion Group Actions; Part III: Differential Equations and Geometrical Structures; Remarks on the History of the Notion of Lie Differentiation; Second-order Differential Equation Fields with Symmetry; Dimensional Reduction of Curvature-dependent Central Potentials on Spaces of Constant Curvature; Direct Geometrical Method in Finsler Geometry; Linear Connections Along the Tangent Bundle Projection; On the Inverse Problem for Autoparallels; Index.

About the Author :
David Saunders is Professor of Russian History at the University of Newcastle upon Tyne, England. He is the author of Russia in the Age of Reaction and Reform 1801-1881. He has also published dozens of articles in professional journals and contributed to the CIUS publication Loyalties in Conflict. The present work is based on his doctoral dissertation, which was completed at St. Anthony's College, Oxford University.


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Product Details
  • ISBN-13: 9781604569209
  • Publisher: Nova Science Publishers Inc
  • Publisher Imprint: Nova Science Publishers Inc
  • Height: 180 mm
  • No of Pages: 370
  • Sub Title: In Honour of Demeter Krupka's Sixty-Fifth Birthday
  • Width: 260 mm
  • ISBN-10: 1604569204
  • Publisher Date: 14 Jul 2009
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 946 gr


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