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The Fundamentals of Analysis for Talented Freshmen [electronic resource] / by Peter M. Luthy, Guido L. Weiss, Steven S. Xiao.

By: Luthy, Peter M [author.].
Contributor(s): Weiss, Guido L [author.] | Xiao, Steven S [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Mathematics & Statistics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Edition: 1st ed. 2016.Description: XIII, 84 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031024092.Subject(s): Mathematics | Statistics  | Engineering mathematics | Mathematics | Statistics | Engineering MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access online
Contents:
List of Figures -- Preface -- Limits, Continuity, and Compactness -- Differentiation on R -- One and Several Dimensional Integral Calculus -- Authors' Biographies -- Index .
In: Springer Nature eBookSummary: This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.
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List of Figures -- Preface -- Limits, Continuity, and Compactness -- Differentiation on R -- One and Several Dimensional Integral Calculus -- Authors' Biographies -- Index .

This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.

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