{"product_id":"topology-illustrated-volume-1-peter-saveliev-9798339106746","title":"Topology Illustrated. Volume 1","description":"Algebraic 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. \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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Peter Saveliev\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798339106746\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/30\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 284\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.46lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.60d","brand":"Peter Saveliev","offers":[{"title":"Paperback","offer_id":46250704896255,"sku":"9798339106746","price":39.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_73d6fe16-c89c-433c-8511-896fbca3db92.jpg?v=1729601147","url":"https:\/\/www.whiterainbookhouse.com\/products\/topology-illustrated-volume-1-peter-saveliev-9798339106746","provider":"WR Book House","version":"1.0","type":"link"}