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Complex numbers and geometry

By: Material type: TextTextLanguage: English Series: MAA spectrumPublication details: Washington, D.C Mathematical Association of America 1994Description: x, 192 p. illISBN:
  • 0883855100 (PB)
Subject(s): Online resources:
Contents:
Complex numbers Applications to geometry Mobius transformations Epilogue Preliminaries in geometry New Year puzzles
Summary: 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 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.14/.4 HAH (Browse shelf(Opens below)) Available 35441

Includes indexes.

Includes bibliography (p. 165) and references

Complex numbers
Applications to geometry
Mobius transformations
Epilogue
Preliminaries in geometry
New Year puzzles

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 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.

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