A Course in Calculus and Real Analysis

Balmohan V. Limaye

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Lingua: inglese

Editore: Springer Nature Switzerland AG Nov 2021, 2021

3030827410 / 9783030827410

Serie: Libro 156 di 170 - Undergraduate Texts in Mathematics

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

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Venditore AbeBooks dal 11 gennaio 2012

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Descrizione dell’articolo da parte del venditore

This item is printed on demand - it takes 3-4 days longer - Neuware -Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single-variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics often encountered earlier without proof. Each chapter contains numerous examples and a large selection of exercises, as well as a 'Notes and Comments' section, which highlights distinctive features of the exposition and provides additional references to relevant literature.This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and exercises. A new chapter discusses sequences and series of real-valued functions of a real variable, and their continuous counterpart: improper integrals depending on a parameter. Two new appendices cover a construction of the real numbers using Cauchy sequences, and a self-contained proof of the Fundamental Theorem of Algebra.In addition to the usual prerequisites for a first course in single-variable calculus, the reader should possess some mathematical maturity and an ability to understand and appreciate proofs. This textbook can be used for a rigorous undergraduate course in calculus, or as a supplement to a later course in real analysis. The authors' A Course in Multivariable Calculus is an ideal companion volume, offering a natural extension of the approach developed here to the multivariable setting.From reviews:[The first edition is] a rigorous, well-presented and original introduction to the core of undergraduate mathematics - first-year calculus. It develops this subject carefully from a foundation of high-school algebra, with interesting improvements and insights rarely found in other books. [.] This book is a tour de force, and a necessary addition to the library of anyone involved in teaching calculus, or studying it seriously. N.J. Wildberger, Aust. Math. Soc. Gaz. 538 pp. Englisch. …

Codice articolo 9783030827410

Titolo
A Course in Calculus and Real Analysis
Autore
Balmohan V. Limaye
Editore
Springer Nature Switzerland AG Nov 2021
Anno di pubblicazione
2021
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3030827410
ISBN 13
9783030827410
Edizione
seconda edizione
Peso dell'articolo
927 grammi
Dimensioni
235x155x28 mm
Serie
Libro 156 di 170: Undergraduate Texts in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
Primo articoloEUR 23,00EUR 23,00
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