A First Course in Real Analysis

By:

Sterling K. Berberian

Format:

Paperback / softback

Series:

Undergraduate Texts in Mathematics

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Description

Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along theway, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.

Release date Australia

September 7th, 2012

Author

Sterling K. Berberian

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1994

Illustrations

XI, 240 p.

Pages

240

Series

Undergraduate Texts in Mathematics

Dimensions

155x235x14

ISBN-13

9781461264330

Product ID

21693814

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