Handbook of Global Analysis
eBook - ePub

Handbook of Global Analysis

  1. 1,244 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Handbook of Global Analysis

About this book

This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry.- Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Handbook of Global Analysis by Demeter Krupka,David Saunders in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Elsevier Science
Year
2011
eBook ISBN
9780080556734
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Preface
  6. Chapter 1: Global aspects of Finsler geometry
  7. Chapter 2: Morse theory and nonlinear differential equations
  8. Chapter 3: Index theory
  9. Chapter 4: Partial differential equations on closed and open manifolds
  10. Chapter 5: The spectral geometry of operators of Dirac and Laplace type
  11. Chapter 6: Lagrangian formalism on Grassmann manifolds
  12. Chapter 7: Sobolev spaces on manifolds
  13. Chapter 8: Harmonic maps Dedicated to the memory of James Eells
  14. Chapter 9: Topology of differentiable mappings
  15. Chapter 10: Group actions and Hilbert’s fifth problem
  16. Chapter 11: Exterior differential systems
  17. Chapter 12: Weil bundles as generalized jet spaces
  18. Chapter 13: Distributions, vector distributions, and immersions of manifolds in Euclidean spaces
  19. Chapter 14: Geometry of differential equations
  20. Chapter 15: Global variational theory in fibred spaces
  21. Chapter 16: Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations
  22. Chapter 17: Elements of noncommutative geometry
  23. Chapter 18: De Rham cohomology
  24. Chapter 19: Topology of manifolds with corners
  25. Chapter 20: Jet manifolds and natural bundles
  26. Chapter 21: Some aspects of differential theories Respectfully dedicated to the memory of Serge Lang
  27. Chapter 22: Variational sequences
  28. Chapter 23: The Oka-Grauert-Gromov principle for holomorphic bundles
  29. Abstracts
  30. Index