{"product_id":"essential-topology-paperback","title":"Essential Topology - Paperback","description":"\u003cp\u003eby \u003cb\u003eMartin D. Crossley\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. While containing all the key results of basic topology, the book never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas. 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.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eTaking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. 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: the cornerstones of contemporary algebraic topology.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eWhile containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. 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 behind current research.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eWith chapters on: \u003c\/p\u003e \u003cp\u003e* continuity and topological spaces\u003c\/p\u003e \u003cp\u003e* deconstructionist topology\u003c\/p\u003e \u003cp\u003e* the Euler number\u003c\/p\u003e \u003cp\u003e* homotopy groups including the fundamental group\u003c\/p\u003e \u003cp\u003e* simplicial and singular homology, and\u003c\/p\u003e \u003cp\u003e* fibre bundles\u003c\/p\u003e \u003cp\u003eEssential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well prepared for it.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 224\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 9.2 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 05, 2005\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42742121103423,"sku":"9781852337827","price":73.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/2c734a68534c0cc2dbd2b2ea41b720f4.webp?v=1765162781","url":"https:\/\/dhlswag.com\/products\/essential-topology-paperback","provider":"BBB","version":"1.0","type":"link"}