Essential Topology by Martin D. Crossley. Springer Undergraduate Mathematics Series. Springer-Verlag,. London, , x+ pages. reviewed by Ariel Blanco. In Essential Topology, Martin Crossley strikes a good balance between the abstraction inherent in the standard topological definitions and the. Essential Topology by Martin D. Crossley, , available at Book Depository with free delivery worldwide.
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Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
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Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated “Hairy Ball theorem” and on to homotopy and homology: While containing all the key results esssntial basic topology, Essential Topology never allows itself to get mired in details.
Essential Topology – Martin D. Crossley – Google Books
Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples topopogy current research.
Table of contents Continuous Functions. Review Text From the reviews: The book contains all the key results of basic topology and the focus throughout is on providing interesting examples that clarify the ideas and motivate the student. The main purpose is to quickly move to relevant notions from algebraic topology homotopy and homology. Throughout the book the author has taken great care to explain topological concepts by well-chosen examples.
It is written in a clear and pleasant style and can certainly be recommended as a basis for an introductory course on the subject. Review quote From the reviews: Kunzinger, Monatshefte fur Mathematik, Vol. Book ratings by Goodreads. Goodreads is the world’s largest site for readers crodsley over 50 million reviews.
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