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© 1997

Mathematical Reflections

In a Room with Many Mirrors

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 1-24
  3. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 25-60
  4. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 61-86
  5. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 87-142
  6. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 143-184
  7. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 185-248
  8. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 249-276
  9. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 277-322
  10. Peter Hilton, Derek Holton, Jean Pedersen
    Pages 323-338
  11. Back Matter
    Pages 339-352

About this book

Introduction

Focusing Your Attention The purpose of this book is Cat least) twofold. First, we want to show you what mathematics is, what it is about, and how it is done-by those who do it successfully. We are, in fact, trying to give effect to what we call, in Section 9.3, our basic principle of mathematical instruction, asserting that "mathematics must be taught so that students comprehend how and why mathematics is qone by those who do it successfully./I However, our second purpose is quite as important. We want to attract you-and, through you, future readers-to mathematics. There is general agreement in the (so-called) civilized world that mathematics is important, but only a very small minority of those who make contact with mathematics in their early education would describe it as delightful. We want to correct the false impression of mathematics as a combination of skill and drudgery, and to re­ inforce for our readers a picture of mathematics as an exciting, stimulating and engrossing activity; as a world of accessible ideas rather than a world of incomprehensible techniques; as an area of continued interest and investigation and not a set of procedures set in stone.

Keywords

Algebra Arithmetic Finite geometry mathematics theorem

Authors and affiliations

  1. 1.Mathematical Sciences DepartmentSUNY at BinghamtonBinghamtonUSA
  2. 2.Department of Mathematics and StatisticsUniversity of OtagoDunedinNew Zealand
  3. 3.Department of MathematicsSanta Clara UniversitySanta ClaraUSA

Bibliographic information

  • Book Title Mathematical Reflections
  • Book Subtitle In a Room with Many Mirrors
  • Authors Peter Hilton
    Derek Holton
    Jean Pedersen
  • Series Title Undergraduate Texts in Mathematics
  • DOI https://doi.org/10.1007/978-1-4612-1932-3
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94770-9
  • Softcover ISBN 978-1-4612-7345-5
  • eBook ISBN 978-1-4612-1932-3
  • Series ISSN 0172-6056
  • Edition Number 1
  • Number of Pages XVI, 352
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    Geometry
    Mathematics, general
  • Buy this book on publisher's site
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