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Complex Numbers and Geometry (Mathematical Association of America Textbooks) Paperback – 5 Sep 1996


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‘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

Book Description

This book demonstrates how complex numbers and geometry can be blended together beautifully, resulting in easy proofs and natural generalizations of many theorems in plane geometry. The book is suitable as a text for a geometry course, or for self-study. It 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.

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First Sentence
One of the most important properties of the real numbers is that the operations of addition, subtraction, multiplication and division can be carried out freely (with the exception of division by 0). Read the first page
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Amazon.com: 1 review
21 of 22 people found the following review helpful
New ways to do old things 28 Mar. 2000
By Charles Ashbacher - Published on Amazon.com
Format: Paperback
Proofs in "pure" geometry are easy to understand but difficult to conceive. When presented with the opportunity to do such proofs, many people suffer from a brain cramp similar to that experienced by writers. One of the most common phrases heard when I was teaching is similar to the following, "I can follow the proof once it is done, but how do you think of trying those steps?" In this book, the author performs a marriage of complex numbers and geometry that can sometimes serve to point the aspiring geometer in the proper direction.
Contrary to their name, complex numbers are easy to understand and manipulate. Only basic knowledge of algebra is essential. In this case, the author uses all of Chapter One to introduce the fundamental ideas of their use. After that, things get exciting. Applying this knowledge to geometry, we see new ways to do old, sometimes very old things. In many cases, the approach is general, in that it is easy to see how such ideas can be used to attack other problems. Large numbers of exercises are included at the end of each chapter.
Worthy of inclusion in any library, this author shows that it is always possible to develop new ways to solve old problems.

Published in Journal of Recreational Mathematics, reprinted with permission.
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