Titlebook: Calculus and Analysis in Euclidean Space; Jerry Shurman Textbook 2016 Springer International Publishing AG 2016 derivative.implicit functi

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Results from One-Variable Calculus,This chapter gives a quick review of the real number system and of the foundational and basic theorems of one-variable calculus, and then it proceeds to a more extensive discussion of Taylor’s theorem.

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Parametrized CurvesThis chapter introduces parametrized curves and discusses their local theory.

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Jerry ShurmanConcentrates on n-dimensional Euclidean space.Uses multivariable calculus to teach mathematics as a blend of reasoning, computing, and problem-solving, doing justice to the structure, the details, and

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978-3-319-84130-4Springer International Publishing AG 2016

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Textbook 2016viding 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 gen

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0172-6056 em-solving, doing justice to the structure, the details, and.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

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