Complex numbers and geometry

Bibliographic Information

Complex numbers and geometry

Liang-shin Hahn

(MAA spectrum)

Mathematical Association of America, c1994

  • : pbk

Other Title

Complex numbers & geometry

Available at  / 21 libraries

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Note

Includes bibliographical references (p. 165) and index

Description and Table of Contents

Description

The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained - no background in complex numbers is assumed - and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

Table of Contents

  • 1. Complex numbers
  • 2. Applications of geometry
  • 3. Möbius transformations
  • 4. Epilogue.

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