{"product_id":"from-groups-to-geometry-and-back-9781470434793","title":"From Groups to Geometry and Back","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGroups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eDespite the beauty of the subject and the many applications to other areas of mathematics and physics, the geometry of group actions is not a common part of an undergraduate mathematics curriculum. The book under review attempts to fill that gap...The text is well written in a conversational style with many nice figures. It is a pleasure to read, for the instructor.\" — Cristopher H. Cashen, \u003cem\u003eMathematical Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"The clarity of the exposition and the richness of the topics make this a valuable addition to undergraduate math libraries.\" — J. McCleary, \u003cem\u003eCHOICE\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eElements of group theory\u003c\/li\u003e\n\u003cli\u003eSymmetry in the Euclidean world: Groups of isometries of planar and spatial objects\u003c\/li\u003e\n\u003cli\u003eGroups of matrices: Linear algebra and symmetry in various geometries\u003c\/li\u003e\n\u003cli\u003eFundamental group: A different kind of group associated to geometric objects\u003c\/li\u003e\n\u003cli\u003eFrom groups to geometric objects and back\u003c\/li\u003e\n\u003cli\u003eGroups at large scale\u003c\/li\u003e\n\u003cli\u003eHints to selected exercises\u003c\/li\u003e\n\u003cli\u003eSuggestions for projects and further reading\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041324470615,"sku":"9781470434793","price":46.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470434793.jpg?v=1740182378","url":"https:\/\/bookcurl.com\/products\/from-groups-to-geometry-and-back-9781470434793","provider":"Book Curl","version":"1.0","type":"link"}