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Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics) by Jerry Shurman (auth.) is a nonfiction available to read on EtoBox.

What is Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics) about?

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. The 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 * geometric intuition (the visual cortex being quickly instinctive) * algebraic manipulation (symbol-patterns being precise and robust) * incisive use of natural l

Who reads Calculus and Analysis in Euclidean Space (Undergraduate Texts in Mathematics)?

Author

Jerry Shurman (auth.)

Publisher

Springer International Publishing : Imprint : Springer

Published

2016

Language

EN

ISBN

9783319493121

Category

nonfiction

Subjects

Mathematics, Stem