{"product_id":"calculus-and-analysis-in-euclidean-space-paperback","title":"Calculus and Analysis in Euclidean Space - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJerry Shurman\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, \u003ci\u003eCalculus and Analysis in Euclidean Space\u003c\/i\u003e offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject.\u003c\/p\u003e \u003cp\u003eThe writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of\u003c\/p\u003e \u003cul\u003e \u003cli\u003egeometric intuition (the visual cortex being quickly instinctive)\u003c\/li\u003e \u003cli\u003ealgebraic manipulation (symbol-patterns being precise and robust)\u003c\/li\u003e \u003cli\u003eincisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject).\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThinking in these ways renders mathematics coherent, inevitable, and fluid.\u003c\/p\u003e The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, \u003ci\u003eCalculus and Analysis in Euclidean Space\u003c\/i\u003e offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject.\u003c\/p\u003e \u003cp\u003eThe writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skills of\u003c\/p\u003e \u003cul\u003e \u003cli\u003egeometric intuition (the visual cortex being quickly instinctive)\u003c\/li\u003e \u003cli\u003ealgebraic manipulation (symbol-patterns being precise and robust)\u003c\/li\u003e \u003cli\u003eincisive use of natural language (slogans that encapsulate central ideas enabling a large-scale grasp of the subject).\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThinking in these ways renders mathematics coherent, inevitable, and fluid.\u003c\/p\u003e The prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eJerry Shurman is professor of mathematics at Reed College, Portland, OR, USA. He is also the co-author of GTM 228 \"A First Course in Modular Forms.\"\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 505\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.05 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 05, 2018\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":52704866173235,"sku":"9783319841304","price":120.38,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0300\/5595\/6612\/files\/WmhWR0F4TW5BU09lQmhpQk5FTHhGZz09.webp?v=1763366319","url":"https:\/\/www.vysn.com\/en-ca\/products\/calculus-and-analysis-in-euclidean-space-paperback","provider":"VYSN","version":"1.0","type":"link"}