Mathematical Masterpieces

Further Chronicles by the Explorers

  • Authors
  • Arthur Knoebel
  • Jerry Lodder
  • Reinhard Laubenbacher
  • David Pengelley

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

Table of contents

  1. Front Matter
    Pages I-XII
  2. Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley
    Pages 1-82
  3. Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley
    Pages 83-157
  4. Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley
    Pages 159-227
  5. Arthur Knoebel, Jerry Lodder, Reinhard Laubenbacher, David Pengelley
    Pages 229-322
  6. Back Matter
    Pages 311-336

About this book

Introduction

Experience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through the words of the pioneers of mathematical thought. Particular advantages of the historical approach include providing context to mathematical inquiry,  perspective to proposed conceptual solutions, and a glimpse into the direction research has taken. The text is ideal for an undergraduate seminar, independent reading, or a capstone course, and offers a wealth of student exercises with a prerequisite of at most multivariable calculus.

Keywords

Isaac Newton Mathematica Prime Prime number algorithms calculus curvature patterns

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-33062-4
  • Copyright Information Springer 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-33061-7
  • Online ISBN 978-0-387-33062-4
  • Series Print ISSN 0172-6056
  • About this book