Introduction to Topology and Geometry

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bA sweeping yet uniquely accessible introduction to a variety of central geometrical topics/bpStudents and teachers will benefit from a uniquely unified treatment of such topics as:ulliHomeomorphismliGraph theoryliSurface topologyliKnot theoryliDifferential geometryliRiemannian geometryliHyperbolic geometryliAlgebraic topologyliGeneral topology/ulpA logical yet flexible organization makes the text 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.Preface.pAcknowledgment.p1. Informal Topology.p2. Graphs.p3. Surfaces.p4. Graphs and Surfaces.p5. Knots and Links.p6. The Differential Geometry of Surfaces.p7. Riemann Geometries.p8. Hyperbolic Geometry.p9. The Fundamental.p10. General Topology.pAppendix A: Curves.pAppendix B: A Brief Survey of Groups.pAppendix C: Permutations.pAppendix D: Modular Arithmetic.pAppendix E: Solutions and Hints to Selected Exercises.pReferences and Resources.pIndex.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. (iMAA Reviews/i, January 1, 2006)p“…a very useful textbook…stimulating and never boring to read, illustrating once more the richness and beauty of the field.” (iZentralbaltt MATH/i, July 2005)pStahl…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. (iCHOICE/i, June 2005)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 Amer@OÃ×=p¤ ¾Û€

 

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