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Essential Topology
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"Essential Topology" brings the most exciting - and useful - aspects of modern topology within reach of the average second-year undergraduate student. It contains all the essentials. The first chapter provides a complete account of continuity beginning at a level that a high school student could understand. The algebraic notions are introduced slowly through the text, leading the reader to the celebrated Hairy Ball theorem, and on to homotopy and homology - the cornerstones of contemporary algebraic topology.§Each topic is introduced with a thorough explanation of why it is being studied, and the focus throughout is on providing interesting examples that will motivate the student. Emphasis is placed on the basic objects that occur in research topology, and in its applications to other areas of mathematics.§This book is designed to provide a "one-stop shop" for undergraduate topology, providing enough material for two semester-long courses, and leaving students motivated and prepared for postgraduate study.
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