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Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics) [Repost]

Posted By: hill0
Date: 13 Feb 2018 06:37:17
Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics) [Repost]

Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics) by Jerry Shurman
English | 16 Dec. 2016 | ISBN: 3319493124 | 507 Pages | PDF | 5.9 MB

The 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, Calculus and Analysis in Euclidean Space 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.
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