Geometric Integration Theory / / Hassler Whitney.
A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying g...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1957 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Princeton Legacy Library ;
2210 |
| Online Access: | |
| Physical Description: | 1 online resource (404 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Frontmatter
- Preface
- Table of Contents
- Introduction
- A. The general problem of integration
- B. Some classical topics
- C. Indications of general theory
- Part I: Classical theory
- Chapter I. Grassmann algebra
- Chapter II. Differential forms
- Chapter III. Riemann integration theory
- Chapter IV. Smooth manifolds
- Part II: General theory
- Chapter V. Abstract integration theory
- Chapter VI. Some relations between chains and functions
- Chapter VII. General properties of chains and cochains
- Chapter VIII. Chains and cochains in open sets
- Part III: Lebesgue theory
- Chapter IX. Flat cochains and differential forms
- Chapter X. Lipschitz mappings
- Chapter XI. Chains and additive set functions
- Appendix I. Vector and linear spaces
- Appendix II. Geometric and topological preliminaries
- Appendix III. Analytical preliminaries
- Index of symbols
- Index of terms