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A First Course in Real Analysis

Language EnglishEnglish
Book Hardback
Book A First Course in Real Analysis Sterling K. Berberian
Libristo code: 02715804
Publishers Springer, Berlin, November 1997
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many ot... Full description
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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.

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About the book

Full name A First Course in Real Analysis
Language English
Binding Book - Hardback
Date of issue 1998
Number of pages 240
EAN 9780387942179
ISBN 0387942173
Libristo code 02715804
Publishers Springer, Berlin
Weight 563
Dimensions 156 x 234 x 15
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