{"product_id":"classical-topology-and-combinatorial-group-theory-graduate-texts-in-mathematics-72-9780387979700","title":"Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics  72)","description":"\u003cp\u003eIn recent years  many students have been introduced to topology in high school mathematics. Having met the Mobius band  the seven bridges of Konigsberg  Eulers polyhedron formula  and knots  the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment \"undergraduate topology\" proves to be! In most institutions it is either a service course for analysts  on abstract spaces  or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum  and at the end the student still does nr understand the simplest topological facts  such as the rcason why knots exist. In my opinion  a well-balanced introduction to topology should stress its intuitive geometric aspect  while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate  this is the aim of the present book. In support of this view  I have followed the historical development where practicable  since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather  it resulted from the lisualization of problems from other parts of mathematics-complex analysis (Riemann)  mechanics (Poincare)  and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45651826868277,"sku":"ByrdShop_0387979700","price":131.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780387979700.jpg?v=1781841426","url":"https:\/\/atxbooks.com\/products\/classical-topology-and-combinatorial-group-theory-graduate-texts-in-mathematics-72-9780387979700","provider":"ATX Books","version":"1.0","type":"link"}