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Introduction to Topology and Geometry
by Saul Stahl

Introduction to Topology and Geometry is the most comprehensive introductory-level presentation of modern geometry currently available.

Using a variety of theorems to tie these seemingly disparate topics together, Introduction to Topology and Geometry demonstrates the essential unity of mathematics.

A logical yet flexible organization makes Introduction to Topology and Geometry useful for courses in basic geometry as well as those with a more topological focus, while exercises ranging from the routine to the challenging make the material accessible at varying levels of study.

Contents:

  1. Informal topology
  2. Graphs
  3. Surfaces
  4. Graphs and surfaces
  5. Knots and links
  6. The differential geometry of surfaces
  7. Riemann geometries
  8. Hyperbolic geometry
  9. The fundamental group
  10. General topology
Appendix A - Curves

Appendix B - A brief survey of groups

Appendix C - Permutations

Appendix D - Modular arithmetic

Appendix E - Solutions and hints to selected exercises

Index

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Introduction to Topology and Geometry
by Saul Stahl

2005 464 pages $120.95 + shipping
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