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Undergraduate Texts in Mathematics

Primer of Modern Analysis

Directions for Knowing All Dark Things, Rhind Papyrus, 1800 B.C.

Authors: Smith, K.T.

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About this Textbook

This book discusses some of the first principles of modern analysis. I t can be used for courses at several levels, depending upon the background and ability of the students. It was written on the premise that today's good students have unexpected enthusiasm and nerve. When hard work is put to them, they work harder and ask for more. The honors course (at the University of Wisconsin) which inspired this book was, I think, more fun than the book itself. And better. But then there is acting in teaching, and a typewriter is a poor substitute for an audience. The spontaneous, creative disorder that characterizes an exciting course becomes silly in a book. To write, one must cut and dry. Yet, I hope enough of the spontaneity, enough of the spirit of that course, is left to enable those using the book to create exciting courses of their own. Exercises in this book are not designed for drill. They are designed to clarify the meanings of the theorems, to force an understanding of the proofs, and to call attention to points in a proof that might otherwise be overlooked. The exercises, therefore, are a real part of the theory, not a collection of side issues, and as such nearly all of them are to be done. Some drill is, of course, necessary, particularly in the calculation of integrals.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4612-1144-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
Softcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Primer of Modern Analysis
Book Subtitle
Directions for Knowing All Dark Things, Rhind Papyrus, 1800 B.C.
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1983
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1144-0
DOI
10.1007/978-1-4612-1144-0
Hardcover ISBN
978-0-387-90797-0
Softcover ISBN
978-1-4612-7021-8
Series ISSN
0172-6056
Edition Number
2
Number of Pages
XV, 446
Additional Information
Originally published by Bogden & Guigley, Inc.
Topics

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