{"product_id":"9783319841304","title":"Undergraduate Texts in Mathematics","description":"\u003ch1\u003eUndergraduate Texts in Mathematics\u003c\/h1\u003e \u003ch2\u003eShurman, Jerry\u003c\/h2\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\n\n\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\n\n\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\n\nThe prerequisite is single-variable calculus, including familiarity with the foundational theorems and some experience with proofs. \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-07-05\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319841304\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-49314-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 505\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":46540660375692,"sku":"9783319841304","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319841304.jpg?v=1775712619","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319841304","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}