Geometrical Kaleidoscope
Regular price
€31.99
Regular price
€32.50
Sale
Sale price
€31.99
A01=Boris Pritsker
Age Group_Uncategorized
Age Group_Uncategorized
Alternative Solutions of the Same Problem
Author_Boris Pritsker
automatic-update
Category1=Non-Fiction
Category=PBM
Category=PDZM
COP=Singapore
Delivery_Delivery within 10-20 working days
eq_bestseller
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Geometry Topics
Identifying Key Elements in Problem's Conditions
Language_English
Learning Geometrical Proofs
Math History
PA=Available
Price_€20 to €50
Problems Solving
PS=Active
softlaunch
Strategies and Techniques for Solving Geometrical Problems
Understanding the Question of the Problem
Product details
- ISBN 9789811285608
- Publication Date: 09 Apr 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
- Language: English
Secure
checkout
Fast Shipping
Easy returns
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.
