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Undergraduate Texts in Mathematics

A First Course in Real Analysis

Authors: Berberian, Sterling K.

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About this Textbook

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.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-4419-8548-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-0-387-94217-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA in USD
  • ISBN 978-1-4612-6433-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A First Course in Real Analysis
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4419-8548-4
DOI
10.1007/978-1-4419-8548-4
Hardcover ISBN
978-0-387-94217-9
Softcover ISBN
978-1-4612-6433-0
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XI, 240
Topics

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