This document provides a summary of the book "Introduction to Topology and Geometry" by Saul Stahl. It describes the book as an accessible introduction to over three centuries of innovations in geometry. The revised second edition offers the most comprehensive coverage of modern geometry currently available at an introductory level, striking a balance between academic rigor and accessibility. It discusses introductory topology, algebraic topology, knot theory, geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry. The book is suitable as an introductory text for topology and geometry courses at the upper-undergraduate level.
2. Description
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?€?? (more) 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. (less)
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