Introduction to Global Variational Geometry
eBook - PDF

Introduction to Global Variational Geometry

  1. 500 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Global Variational Geometry

About this book

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles- First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces

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Yes, you can access Introduction to Global Variational Geometry by Demeter Krupka in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Operator Ideais
  3. Copyright Page
  4. CONTENTS
  5. Acknowledgements
  6. Preface
  7. PART 0: PRELIMINARIES
  8. PART 1: THEORY OF OPERATOR IDEALS
  9. PART 2: THEORY OF QUASI-NORMED OPERATOR IDEALS
  10. PART 3: THEORY OF SEQUENCE IDEALS
  11. PART 4: BASIC EXAMPLES OF OPERATOR IDEALS
  12. PART 5: APPLICATlONS
  13. Epilogue
  14. Bibliography
  15. Index of Axioms
  16. Index of Operator Ideals
  17. Index of Family Ideals
  18. Index of Scalar Sequence Ideals
  19. Index of Procedures
  20. lndax of Extensions
  21. Index of Symbols
  22. Index of Subjects