{"product_id":"multivariate-calculus-and-geometry-springer-undergraduate-mathematics-series-9781447164180","title":"Multivariate Calculus and Geometry Springer Undergraduate Mathematics Series","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eMultivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“The book is very useful for those who wish to learn the theory properly. … the book is very clearly written–the theory is nicely presented with important topics being well explained and illustrated with examples. … Each chapter begins with an outline of its content, and ends with suitably constructed exercises, with solutions given at the end of the book. … it is also an excellent reference text on multivariate calculus and the basics in differential geometry.” (Peter Shiu, The Mathematical Gazette, Vol. 100 (547), 2016)\u003c\/p\u003e\u003cp\u003e“A textbook aimed at undergraduate mathematics students. … The text is accompanied with a large number of figures and explanatory text. Each chapter is concluded by a collection of exercises of both routine and more theoretical nature. The textbook is written in a readable way, especially it is one of rare cases of multivariate calculus texts consequently linked to the geometric roots of the subject.” (Vladimír Janiš, zbMATH 1312.26001, 2015)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction to Differentiable Functions.- Level Sets and Tangent Spaces.- Lagrange Multipliers.- Maxima and Minima on Open Sets.- Curves in Rn.- Line Integrals.- The Frenet–Serret Equations.- Geometry of Curves in R3.- Double Integration.- Parametrized Surfaces in R3.- Surface Area.- Surface Integrals.- Stokes’ Theorem.- Triple Integrals.- The Divergence Theorem.- Geometry of Surfaces in R3.- Gaussian Curvature.- Geodesic Curvature.\u003c\/p\u003e","brand":"Springer London","offers":[{"title":"Default Title","offer_id":51769772605783,"sku":"9781447164180","price":34.19,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/multivariate-calculus-and-geometry-springer-undergraduate-mathematics-series-9781447164180","provider":"Book Curl","version":"1.0","type":"link"}