Applications of Algebraic Topology Graphs and Networks. The Picard-Lefschetz Theory and Feynman Integrals
This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge of linear algebra and of topology. In topology the limit is dimension two mainly in the latter chapters and questions of topological invaria...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1975, 1975
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| Edition: | 1st ed. 1975 |
| Series: | Applied Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Application of Classical Topology to Graphs and Networks
- I. A Résumé of Linear Algebra
- II. Duality in Vector Spaces
- III. Topological Preliminaries
- IV. Graphs. Geometric Structure
- V. Graph Algebra
- VI. Electrical Networks
- VII. Complexes
- VIII. Surfaces
- IX. Planar Graphs
- II The Picard-Lefschetz Theory and Feynman Integrals
- I. Topological and Algebraic Considerations
- II. The Picard-Lefschetz Theory
- III. Extension to Higher Varieties
- IV. Feynman Integrals
- V. Feynman Integrals. B
- Subject Index Part I
- Subject Index Part II.