{"product_id":"differential-geometry-of-curves-and-surfaces-9781482247343","title":"Differential Geometry of Curves and Surfaces","description":"\u003cp\u003e\u003cstrong\u003eDifferential Geometry of Curves and Surfaces, Second Edition\u003c\/strong\u003e takes both an analytical\/theoretical approach and a visual\/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets supported by sound theory.\u003c\/p\u003e\u003cp\u003eThe book explains the reasons for various definitions while the interactive applets offer motivation for certain definitions, allow students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNew to the Second Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e \u003cli\u003eReworked presentation to make it more approachable\u003c\/li\u003e \u003cli\u003eMore exercises, both introductory and advanced\u003c\/li\u003e \u003cli\u003eNew section on the application of differential geometry to cartography\u003c\/li\u003e \u003cli\u003eAdditional investigative project ideas\u003c\/li\u003e \u003cli\u003eSignificantly reorganized material on the Gauss-Bonnet theorem\u003c\/li\u003e \u003cli\u003eTwo new sections dedicated to hyperbolic and spherical geometry as applications of intrinsic geometry\u003c\/li\u003e \u003cli\u003eA new chapter on curves and surfaces in R\u003ci\u003en\u003c\/i\u003e \u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eSuitable for an undergraduate-level course or self-study, this self-contained textbook and online software applets provide students with a rigorous yet intuitive introduction to the field of differential geometry. The text gives a detailed introduction of definitions, theorems, and proofs and includes many types of exercises appropriate for daily or weekly assignments. The applets can be used for computer labs, in-class illustrations, exploratory exercises, or self-study aids.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cstrong\u003eThomas F. Banchoff\u003c\/strong\u003e is a geometer and a professor at Brown University. Dr. Banchoff was president of the Mathematical Association of America (MAA) from 1999 to 2000. He has published numerous papers in a variety of journals and has been the recipient of many honors, including the MAA's Deborah and Franklin Tepper Haimo Award and Brown's Teaching with Technology Award. He is the author of several books, including \u003ci\u003eLinear Algebra Through Geometry\u003c\/i\u003e with John Wermer and \u003ci\u003eBeyond the Third Dimension\u003c\/i\u003e.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eStephen T. Lovett\u003c\/strong\u003e is an associate professor of mathematics at Wheaton College. Dr. Lovett has taught introductory courses on differential geometry for many years, including at Eastern Nazarene College. He has given many talks over the past several years on differential and algebraic geometry as well as cryptography. In 2015, he was awarded Wheaton's Senior Scholarship Faculty Award. He is the author of \u003ci\u003eAbstract Algebra: Structures and Applications\u003c\/i\u003e and \u003ci\u003eDifferential Geometry of Manifolds\u003c\/i\u003e.\u003c\/p\u003e\u003cbr\u003e","brand":"CRC Press","offers":[{"title":"Default Title","offer_id":52160095846674,"sku":"9781482247343","price":96.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_24b72b4d-1d82-491e-9a42-d472bbc54ff3.jpg?v=1775035770","url":"https:\/\/surprise-castle.myshopify.com\/products\/differential-geometry-of-curves-and-surfaces-9781482247343","provider":"Surprise Castle","version":"1.0","type":"link"}