Topology 2nd Edition PDF Download Ebook. James Munkres provides separate, in-depth coverage of both general topology and algebraic topology with many examples and figures. This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses.
Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.
What follows is a wealth of applications-to the topology of the plane (including the Jordan curve theorem), to the classification of compact surfaces, and to the classification of covering spaces. A final chapter provides an application to group theory itself. This book follows the present-day trend in the teaching of topology which explores the subject much more extensively with one semester devoted to general topology and a second to algebraic topology.
Order of topics proceeds naturally from the familiar to the unfamiliar begins with the familiar set theory, moves on to a thorough and careful treatment of topological spaces, then explores connectedness and compactness (with their many ties to calculus and analysis), and then branches out to the new and different topics mentioned above.
Author carefully guides students through transitions to more advanced topics being careful not to overwhelm them. Each of the text's two parts is suitable for a one-semester course, giving instructors a convenient single text resource for bridging between the courses. The text can also be used where algebraic topology is studied only briefly at the end of a single-semester course.
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