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.
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