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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Information

Publisher
Elsevier Science
Year
2000
Print ISBN
9780444850102
eBook ISBN
9780080954233
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. The Theory of Error-Correcting Codes
  3. Copyright Page
  4. Preface
  5. Preface to the third printing
  6. Contents
  7. Chapter 1. Linear codes
  8. Chapter 2. Nonlinear codes, Hadamard matrices, designs and the Golay code
  9. Chapter 3. An introduction to BCH codes and finite fields
  10. Chapter 4. Finite fields
  11. Chapter 5. Dual codes and their weight distribution
  12. Chapter 6. Codes. designs and perfect codes
  13. Chapter 7. Cyclic codes
  14. Chapter 8. Cyclic codes (contd.): Idempotents and Mattsonā€“Solomon polynomials
  15. Chapter 9. BCH codes
  16. Chapter 10. Reed-Solomon and Justesen codes
  17. Chapter 11. MDS codes
  18. Chapter 12. Alternant. Goppa and other generalized BCH codes
  19. Chapter 13. Reedā€“Muller codes
  20. Chapter 14. First-order Reedā€“Muller codes
  21. Chapter 15. Second-order Reedā€“Muller, Kerdock and Preparata codes
  22. Chapter 16. Quadratic-residue codes
  23. Chapter 17. Bounds on the size of a code
  24. Chapter 18. Methods for combining codes
  25. Chapter 19. Self-dual codes and invariant theory
  26. Chapter 20. The Golay codes
  27. Chapter 21. Association schemes
  28. Appendix A: Tables of the best codes known
  29. Appendix B: Finite geometries
  30. Bibliography
  31. Index

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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 & Calculus. We have over one million books available in our catalogue for you to explore.