{"product_id":"topology-of-surfaces-knots-and-manifolds-isbn-9780471355441","title":"Topology of Surfaces, Knots, and Manifolds","description":"\u003cp\u003eTopology of Surfaces, Knots, and Manifolds offers an intuition-based and example-driven approach to the basic ideas and problems involving manifolds, particularly one- and two-dimensional manifolds.  A blend of examples and exercises leads the reader to anticipate general definitions and theorems concerning curves, surfaces, knots, and links-the objects of interest in the appealing set of mathematical ideas known as \"rubber sheet geometry.\"  The result is a text that is accessible to a broad range of undergraduate students, yet still provides solid coverage of the mathematics underlying these topics.\u003c\/p\u003e \u003cp\u003eIntroduction and Intuitive Ideas\u003c\/p\u003e \u003cp\u003eManifolds\u003c\/p\u003e \u003cp\u003eClassification of Compact Surfaces\u003c\/p\u003e \u003cp\u003ePutting More Structure on Surfaces\u003c\/p\u003e \u003cp\u003eGraphs and Topology\u003c\/p\u003e \u003cp\u003eKnot Theory\u003c\/p\u003e  \u003cp\u003eStephan C. Carlson is the author of Topology of Surfaces, Knots, and Manifolds, published by Wiley.   \u003cb\u003eMaster the basic ideas of the topology of manifolds\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eTOPOLOGY OF SURFACES, KNOTS, AND MANIFOLDS offers an intuition-based and example-driven approach to the basic ideas and problems involving manifolds, particularly one- and two-dimensional manifolds. A blend of examples and exercises leads the reader to anticipate general definitions and theorems concerning curves, surfaces, knots, and links--the objects of interest in the appealing set of mathematical ideas known as \"rubber sheet geometry.\" The result is a text that is accessible to a broad range of undergraduate students, yet will provides solid coverage of the mathematics underlying these topics.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eHere are some of the features that make Carlson's approach work:\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003e \u003cdiv\u003eA student-friendly writing style provides a clear exposition of concepts.\u003c\/div\u003e \u003c\/li\u003e \u003cli\u003e \u003cdiv\u003emathematical results are presented accurately and main definitions, theorems, and remarks are clearly highlighted for easy reference.\u003c\/div\u003e \u003c\/li\u003e \u003cli\u003e \u003cdiv\u003eCarefully selected exercises, some of which require hands-on work on computer-aided visualization , reinforce the understanding of concepts or further develop ideas.\u003c\/div\u003e \u003c\/li\u003e \u003cli\u003e \u003cdiv\u003eExtensive use of illustrations helps the students develop an intuitive understanding of the material.\u003c\/div\u003e \u003c\/li\u003e \u003cli\u003e \u003cdiv\u003eFrequent historical references chronicle the development of the subject and highlight connections between topology and other areas of mathematics.\u003c\/div\u003e \u003c\/li\u003e \u003cli\u003e \u003cdiv\u003eChapter summary sections offer a review of each chapter's topics and a transitional look forward to the next chapter.\u003c\/div\u003e \u003c\/li\u003e \u003c\/ul\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990396453093,"sku":"NP9780471355441","price":132.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471355441.jpg?v=1761787663","url":"https:\/\/k12savings.com\/es\/products\/topology-of-surfaces-knots-and-manifolds-isbn-9780471355441","provider":"K12savings","version":"1.0","type":"link"}