Introduction to Topology and Geometry

<p><b>An easily accessible introduction to over three</b> <b>centuries of innovations in geometry</b></p> <p>Praise for the First Edition</p> <p>“. . . 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</p> <p>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. </p> <p>Illustrating modern mathematical topics, <i>Introduction to Topology and Geometry, Second Edition</i> 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 <i>Second Edition:<br /> <br /> </i>• Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being<br /> <br /> • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods<br /> <br /> • Bridges seemingly disparate topics by creating thoughtful and logical connections<br /> <br /> • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory<br /> <br /> <i>Introduction to Topology and Geometry, Second Edition</i> 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.</p>