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Geometrical Kaleidoscope (2nd Ed)

Geometrical Kaleidoscope (2nd Ed)

Hardcover

General MathematicsGeometry

ISBN10: 9811285276
ISBN13: 9789811285271
Publisher: World Scientific Publishing Company
Published: Mar 24 2024
Pages: 188
Weight: 0.93
Height: 0.50 Width: 6.00 Depth: 9.00
Language: English

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of theory in the problem-solving process. The chapters cover a myriad of topics among which are the classic theorems and formulas such as Archimedes' Law of the Lever, the Pythagorean Theorem, Heron's formula, Brahmagupta's formula, Appollonius's Theorem, Euler's line properties, the Nine-Point Circle, Fagnano's Problem, the Steiner-Lehmus Theorem, Napoleon's Theorem, Ceva's Theorem, Menelaus's Theorem, Pompeiu's Theorem, and Morley's Miracle. The book focuses on geometric thinking - what it means, how to develop it, and how to recognize it. Geometrical Kaleidoscope consists of a kaleidoscope of topics that seem to not be related at first glance. However, that perception disappears as you go from chapter to chapter and explore the multitude of surprising relationships, unexpected connections, and links. Readers solving a chain of problems will learn from them general techniques, rather than isolated instances of the application of a technique. In spite of the many problems' challenging character, their solutions require no more than a basic knowledge covered in a high school geometry curriculum. There are plenty of problems for readers to work out for themselves (solutions are provided at the end of the book).

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