Geometric Transformations by Razvan Gelca: New

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eBay item number:403672217954
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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Geometric Transformations
Publication Date
2022-02-17
ISBN
9783030891169
Category

About this product

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
303089116X
ISBN-13
9783030891169
eBay Product ID (ePID)
6050434206

Product Key Features

Number of Pages
Xiii, 578 Pages
Language
English
Publication Name
Geometric Transformations
Publication Year
2022
Subject
Algebra / Abstract, Geometry / General, General, Teaching Methods & Materials / Mathematics
Type
Textbook
Subject Area
Mathematics, Education
Author
Carlos Yuzo Shine, Ionuţ OnişOr, RăZvan Gelca
Series
Problem Books in Mathematics Ser.
Format
Hardcover

Dimensions

Item Weight
36.9 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Reviews
"This book ... is a nice addition to the literature. ... for instructors teaching geometry courses in which these are a topic, this book should provide an excellent source of interesting examples and problems. The large number of solved problems should also make useful reading for people preparing for mathematical contests and Olympiads." (Mark Hunacek, MAA Reviews, October 4, 2022)
Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
516.0076
Table Of Content
Introduction.- Part I: Problems - 1. Isometries.- 2. Homotheties and Spiral Similarities.- 3. Inversions.- 4. A Synthesis.- Part II: Hints - 5. Isometries.- 6. Homotheties and Spiral Similarities.- 7. Inversions.- 8. A Synthesis.- Part III: Solutions - 9. Isometries.- 10. Homotheties and Spiral Similarities.- 11. Inversions.- 12. A Synthesis.
Synopsis
This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.
LC Classification Number
QA440-699

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