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Famous Problems in Geometry and How to Solve Them by Benjamin Bold (Paperback, 1982)

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Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of epi = -1, "one of the most amazing formulas in all of mathematics.".

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Product Information

Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history's great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be solved. The quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book. Students of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of epi = -1, one of the most amazing formulas in all of mathematics. These famous problems, clearly explicated and diagrammed, will amaze and edify curious students and math connoisseurs.

Product Identifiers

Publisher
Dover Publications Inc.
ISBN-13
9780486242972
eBay Product ID (ePID)
96043920

Product Key Features

Author
Benjamin Bold
Publication Name
Famous Problems in Geometry and How to Solve Them
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
1982
Type
Textbook
Number of Pages
144 Pages

Dimensions

Item Height
215mm
Item Width
137mm
Item Weight
155g

Additional Product Features

Title_Author
Benjamin Bold
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States

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Famous Problems in Geometry and How to Solve Them by Benjamin Bold (Paperback, 1982)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Textbooks

Diagnostic and Statistical Manual of Mental Disorders DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Desk Reference to the Diagnostic Criteria from DSM-5-TR by American Psychiatric Association (2022, Trade Paperback)

Self Heal by Design : The Role of Micro-organisms for Health by Barbara O'Neill (2018, Trade Paperback)

Leadership : Theory and Practice by Peter G. Northouse (2021, Trade Paperback, Revised edition)

Research Design : Qualitative, Quantitative, and Mixed Methods Approaches by J. David Creswell and John W. Creswell (2022, Trade Paperback)

Diagnostic and Statistical Manual of Mental Disorders : DSM-5-TR by American Psychiatric Association (2022, Hardcover)

Designing Data-Intensive Applications : The Big Ideas Behind Reliable, Scalable, and Maintainable Systems by Martin Kleppmann (2017, Trade Paperback)

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