Complex Numbers and Geometry
Complex Numbers and Geometry
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$48.99
USDThe 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.
- Over 100 exercises
- Minimal prerequisites
Reviews & endorsements
‘Provides a self-contained introduction to complex numbers and college geometry written in an informal style with an emphasis on the motivation behind the ideas … The author engages the reader with a casual style, motivational questions, interesting problems and historical notes.’ Mathematical Reviews
Product details
September 1996Paperback
9780883855102
201 pages
217 × 148 × 14 mm
0.259kg
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
- 1. Complex numbers
- 2. Applications of geometry
- 3. Möbius transformations
- 4. Epilogue.
