Geometrical Kaleidoscope (Second Edition)

Geometrical Kaleidoscope (Second Edition)
Author :
Publisher : World Scientific
Total Pages : 188
Release :
ISBN-10 : 9789811285295
ISBN-13 : 9811285292
Rating : 4/5 (292 Downloads)

Book Synopsis Geometrical Kaleidoscope (Second Edition) by : Boris Pritsker

Download or read book Geometrical Kaleidoscope (Second Edition) written by Boris Pritsker and published by World Scientific. This book was released on 2024-03-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).In the 2nd edition of the book there are many new ideas and additional explanations that help the reader better understand the solutions of problems and connect the chapters to one another. A new chapter 'Alternative proofs of the Pythagorean Theorem' is added. It covers seven different proofs of the famous theorem and discusses its generalizations and applications. There is also Appendix and Index added, which were missing in the first edition of the book.


Geometrical Kaleidoscope (Second Edition) Related Books

Geometrical Kaleidoscope (Second Edition)
Language: en
Pages: 188
Authors: Boris Pritsker
Categories: Mathematics
Type: BOOK - Published: 2024-03-14 - Publisher: World Scientific

DOWNLOAD EBOOK

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphas
Geometrical Design Coloring Book
Language: en
Pages: 50
Authors: Spyros Horemis
Categories: Art
Type: BOOK - Published: 1973 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Beautifully rendered, imaginative new geometrical designs. 46 designs.
The Equations World
Language: en
Pages: 337
Authors: Boris Pritsker
Categories: Mathematics
Type: BOOK - Published: 2019-08-14 - Publisher: Courier Dover Publications

DOWNLOAD EBOOK

Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the exc
The Equations World
Language: en
Pages: 337
Authors: Boris Pritsker
Categories: Mathematics
Type: BOOK - Published: 2019-08-14 - Publisher: Courier Dover Publications

DOWNLOAD EBOOK

Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the exc
Through the Kaleidoscope
Language: en
Pages: 188
Authors: R. A. Peterson
Categories: Geophysics
Type: BOOK - Published: 1974 - Publisher:

DOWNLOAD EBOOK