Understanding Analysis

Stephen Abbott

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Lingua: inglese

Editore: Springer-Verlag New York Inc., 2016

1493950266 / 9781493950263

Serie: Libro 142 di 170 - Undergraduate Texts in Mathematics

Da: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc

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This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of  them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises fromthe first edition, and three more project-style sections have been added. Investigations of Euler?s computation of ?(2), the Weierstrass Approximation ­ Theorem, and the gamma function are now among the book?s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.…

Codice articolo CIN1493950266A

Titolo
Understanding Analysis
Autore
Stephen Abbott
Editore
Springer-Verlag New York Inc.
Anno di pubblicazione
2016
Condizione
Fair
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1493950266
ISBN 13
9781493950263
Serie
Libro 142 di 170: Undergraduate Texts in Mathematics

World of Books Inc

Montgomery, IL, U.S.A.

Venditore con 4 stelle

Venditore AbeBooks dal 23 marzo 2026

Tariffe di spedizione nazionale per U.S.A.

ArticoloDa 4 a 12 giorni lavorativiDa 3 a 6 giorni lavorativi
Primo articoloEUR 0,00EUR 9,61
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