Introduction to Topology and Geometry
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English

SAUL STAHL, PhD, is a Professor in the Department of Mathematics at the University of Kansas. In addition to being the author of five previous texts and more than thirty papers in the field of geometry, he is also a winner of the Carl B. Allendoerfer Award from the Mathematical Association of America.

English

Preface.

Acknowledgment.

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.

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.

References and Resources.

Index.

English

"This is a nice collection of topics that are not usually present in a single text…I am glad that the book is on my bookshelf." (MAA Reviews, January 1, 2006)

“…a very useful textbook…stimulating and never boring to read, illustrating once more the richness and beauty of the field.” (Zentralbaltt MATH, July 2005)

"Stahl...proves a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained." (CHOICE, June 2005)

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