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A First Course in Real Analysis

Name: A First Course in Real Analysis
Brand: Springer, Berlin
SKU: 02716995
Price: 44.39 EUR
Availability: InStock
Author: Sterling K. Berberian
ISBN: 9781461264330

Sterling K. Berberian

Language

English

Book Paperback

Libristo code: 02716995

Publishers Springer, Berlin, November 2011

Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many ot... Full description

Libristo code: 02716995

109 b

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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 the way, (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.