{"product_id":"topology-illustrated-volume-1-paperback","title":"Topology Illustrated. Volume 1 - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003ePeter Saveliev\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eAlgebraic topology is the main subject of this book that initially follows a two-semester first course in topology. It furthermore takes the reader to more advanced parts of algebraic topology as well as some applications: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, exchange economy. An overview of discrete calculus is also included. The book contains over 1000 color illustrations and over 1000 exercises. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eCONTENTS VOLUME 1\u003cbr\u003eChapter 1. Cycles 1. Topology around us 2. Homology classes 3. Topology of graphs 4. Homology groups of graphs 5. Maps of graphs 6. Binary calculus on graphs\u003cbr\u003eChapter 2. Topologies 1. A new look at continuity 2. Neighborhoods and topologies 3. Topological spaces 4. Continuous functions 5. Subspaces\u003cbr\u003eChapter 3. Complexes 1. The algebra of cells 2. Cubical complexes 3. The algebra of oriented cells 4. Simplicial complexes 5. Simplicial homology 6. Simplicial maps 7. Parametric complexes \u003cp\u003e\u003c\/p\u003eThis is a new edition, corrected and updated. I had to split the paper version into two volumes because of Amazon's page limits. There is no solution manual in the works at this time.\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 284\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 11 x 8.5 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 30, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":53429865349427,"sku":"9798339106746","price":59.65,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/ivMwD-jI8Q9798339106746.webp?v=1780647051","url":"https:\/\/www.vysn.com\/products\/topology-illustrated-volume-1-paperback","provider":"VYSN","version":"1.0","type":"link"}