Complex numbers and geometry
By: Liang-shin Hahn.
Series: Spectrum series
Publisher: Mathematical Association of America
Published: 1994
Place of publication: Washington, D.C
Language: eng
Format: paperback
Number of pages: 192
Subjects: Numbers, Complex; Geometry, Modern
Other titles: Complex numbers & geometry.
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. -- Provided by publisher.
Notes: Includes bibliographical references (p. 165) and index.
Spine title: Complex numbers & geometry.
Table of contents: title: Preface
pagenum: vii; label: 1
title: Complex Numbers
pagenum: 1; label: 2
title: Applications to Geometry
pagenum: 55; label: 3
title: Mobius Transformations
pagenum: 90; title: Epilogue
pagenum: 165; label: A
title: Preliminaries in Geometry
pagenum: 167; label: B
title: New Year Puzzles
pagenum: 185; title: Index
pagenum: 191