Introduction to Topology and Geometry / Wiley Series in Pure and Applied Mathematics (PDF)

An easily accessible introduction to over three
centuries of innovations in geometry

Praise for the First Edition

". . . 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

This fully revised new edition offers the most comprehensive
coverage of modern geometry currently available at an introductory
level. The book strikes a welcome balance between academic rigor
and accessibility, providing a complete and cohesive picture of the
science with an unparalleled range of topics.

Illustrating modern mathematical topics, Introduction to
Topology and Geometry, Second Edition discusses introductory
topology, algebraic topology, knot theory, the geometry of
surfaces, Riemann geometries, fundamental groups, and differential
geometry, which opens the doors to a wealth of applications. With
its logical, yet flexible, organization, the Second
Edition:

* Explores historical notes interspersed throughout the
exposition to provide readers with a feel for how the mathematical
disciplines and theorems came into being

* Provides exercises ranging from routine to challenging,
allowing readers at varying levels of study to master the concepts
and methods

* Bridges seemingly disparate topics by creating thoughtful
and logical connections

* Contains coverage on the elements of polytope theory, which
acquaints readers with an exposition of modern theory

Introduction to Topology and Geometry, Second Edition is an
excellent introductory text for topology and geometry courses at
the upper-undergraduate level. In addition, the book serves as an
ideal reference for professionals interested in gaining a deeper
understanding of the topic.