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Introduction to Topology and Geometry - 05 edition

Introduction to Topology and Geometry (ISBN10: 0471662607; ISBN13: 9780471662600)
ISBN13: 978-0471662600
ISBN10: 0471662607

Summary: A sweeping yet uniquely accessible introduction to a variety of central geometrical topics

Covering over two centuries of innovations in many of the central geometrical disciplines, Introduction to Topology and Geometry is the most comprehensive introductory-level presentation of modern geometry currently available.

Unique in both style and scope, the book covers an unparalleled range of topics, yet strikes a welcome balance between academic rigor
and accessibility. By including subject matter previously relegated to higher-level graduate courses in mathematics and making it both interesting and accessible, the author presents a complete and cohesive picture of the science for students just entering the field. Historical notes throughout provide readers with a feel for how mathematical disciplines and theorems come into being.

Students and teachers will benefit from a uniquely unified treatment of such topics as:
  • Homeomorphism
  • Graph theory
  • Surface topology
  • Knot theory
  • Differential geometry
  • Riemannian geometry
  • Hyperbolic geometry
  • Algebraic topology
  • General topology
Using a variety of theorems to tie these seemingly disparate topics together, the author demonstrates the essential unity of mathematics.

A 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.
...show more
Summary: A sweeping yet uniquely accessible introduction to a variety of central geometrical topics

Covering over two centuries of innovations in many of the central geometrical disciplines, Introduction to Topology and Geometry is the most comprehensive introductory-level presentation of modern geometry currently available.

Unique in both style and scope, the book covers an unparalleled range of topics, yet strikes a welcome balance between academic rigor and accessibility. By including subject matter previously relegated to higher-level graduate courses in mathematics and making it both interesting and accessible, the author presents a complete and cohesive picture of the science for students just entering the field. Historical notes throughout provide readers with a feel for how mathematical disciplines and theorems come into being.

Students and teachers will benefit from a uniquely unified treatment of such topics as:
  • Homeomorphism
  • Graph theory
  • Surface topology
  • Knot theory
  • Differential geometry
  • Riemannian geometry
  • Hyperbolic geometry
  • Algebraic topology
  • General topology
Using a variety of theorems to tie these seemingly disparate topics together, the author demonstrates the essential unity of mathematics.

A 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. ...show less

Edition/Copyright: 05
Cover:
Publisher: John Wiley & Sons, Inc.
Year Published: 2005
International: No

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