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Author: I. M. Yaglom
Publisher: MAA
ISBN: 9780883856482
Category : Mathematics
Languages : en
Pages : 302
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Book Description
A comprehensive treatment of the geometry of circular transformations.
Author: I. M. Yaglom
Publisher: MAA
ISBN: 9780883856482
Category : Mathematics
Languages : en
Pages : 302
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Book Description
A comprehensive treatment of the geometry of circular transformations.
Author: Isaak Moiseevich I︠A︡glom
Publisher:
ISBN:
Category : Transformations (Mathematics)
Languages : en
Pages : 206
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Book Description
Author: Joseph Choma
Publisher: Laurence King Publishing
ISBN: 1780677227
Category : Architecture
Languages : en
Pages : 317
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Book Description
Cylinders, spheres and cubes are a small handful of shapes that can be defined by a single word. However, most shapes cannot be found in a dictionary. They belong to an alternative plastic world defined by trigonometry: a mathematical world where all shapes can be described under one systematic language and where any shape can transform into another. This visually striking guidebook clearly and systematically lays out the basic foundation for using these mathematical transformations as design tools. It is intended for architects, designers, and anyone with the curiosity to understand the link between shapes and the equations behind them.
Author: Răzvan Gelca
Publisher: Springer Nature
ISBN: 3030891178
Category : Mathematics
Languages : en
Pages : 581
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Book Description
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.
Author: I. M. Yaglom
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461256801
Category : Mathematics
Languages : en
Pages : 251
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Book Description
Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.
Author: Clayton W. Dodge
Publisher: Courier Corporation
ISBN: 0486138429
Category : Mathematics
Languages : en
Pages : 306
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Book Description
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 0486135861
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Author: Hiroshi Maehara
Publisher: Springer Nature
ISBN: 3031627768
Category :
Languages : en
Pages : 342
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Book Description
Author: Norman W. Johnson
Publisher: Cambridge University Press
ISBN: 1107103401
Category : Mathematics
Languages : en
Pages : 455
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Book Description
A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.
