{"product_id":"the-shapes-of-things-a-practical-guide-to-differential-geometry-and-the-shape-derivative-a-practical-guide-to-differential-geometry-and-the-shape-derivative-paperback-softback-9781611973952","title":"The Shapes of Things – A Practical Guide to Differential Geometry and the Shape Derivative; A Practical Guide to Differential Geometry and the Shape Derivative (Paperback \/ softback) 9781611973952","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Shapes of Things – A Practical Guide to Differential Geometry and the Shape Derivative\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Practical Guide to Differential Geometry and the Shape Derivative\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA differential geometry-based guide to understanding mathematical models which feature an underlying geometry which evolves in time.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eShawn W. Walker (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611973952\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 June 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e163 pages\u003cbr\u003e25.5 x 18 x 1.1 cm, 0.368 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMany things have properties that depend on their shape, such as the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function with respect to a 'shape variable'. This approach, useful for understanding mathematical models containing geometric PDEs, allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute geometric sensitivities by developing basic calculus on surfaces alongside calculus of variations, aided by plenty of applications and illustrations. This book, a convenient reference for various shape derivative formulas, will be valuable to anyone interested in surface geometry and shape optimization. Graduate students can use it to quickly get acquainted with shape differentiation while scientists will find the book helpful for problems where surface geometry is critical or geometry evolves in time.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Surfaces and differential geometry\u003cbr\u003e 3. The fundamental forms of differential geometry\u003cbr\u003e 4. Calculus on surfaces\u003cbr\u003e 5. Shape differential calculus\u003cbr\u003e 6. Applications\u003cbr\u003e 7. Willmore flow\u003cbr\u003e Appendix A. Vectors and matrices\u003cbr\u003e Appendix B. Derivatives and integrals\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52446331371800,"sku":"9781611973952","price":53.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611973952i.jpg?v=1785111091","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-shapes-of-things-a-practical-guide-to-differential-geometry-and-the-shape-derivative-a-practical-guide-to-differential-geometry-and-the-shape-derivative-paperback-softback-9781611973952","provider":"Freshly Printed Books","version":"1.0","type":"link"}