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Mathematical Reflections

In a Room with Many Mirrors

  • Textbook
  • © 1997

Overview

Authors:
  1. Peter Hilton

    1. Mathematical Sciences Department, SUNY at Binghamton, Binghamton, USA

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  2. Derek Holton

    1. Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand

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  3. Jean Pedersen

    1. Department of Mathematics, Santa Clara University, Santa Clara, USA

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Going Down the Drain

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 1-24

  3. A Far Nicer Arithmetic

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 25-60

  4. Fibonacci and Lucas Numbers

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 61-86

  5. Paper-Folding and Number Theory

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 87-142

  6. Quilts and Other Real-World Decorative Geometry

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 143-184

  7. Pascal, Euler,Triangles,Windmills,...

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 185-248

  8. Hair and Beyond

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 249-276

  9. An Introduction to the Mathematics of Fractal Geometry

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 277-322

  10. Some of Our Own Reflections

    • Peter Hilton, Derek Holton, Jean Pedersen
    Pages 323-338

  11. Back Matter

    Pages 339-352
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Keywords

About this book

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.

Authors and Affiliations

  • Mathematical Sciences Department, SUNY at Binghamton, Binghamton, USA

    Peter Hilton

  • Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand

    Derek Holton

  • Department of Mathematics, Santa Clara University, Santa Clara, USA

    Jean Pedersen

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

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-387-94770-9Published: 13 December 1996

  • Softcover ISBN: 978-1-4612-7345-5Published: 27 September 2012

  • eBook ISBN: 978-1-4612-1932-3Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XVI, 352

  • Topics: Number Theory, Geometry, Mathematics, general

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