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Symmetry, Shape, and Space uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.
Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions. This lighthearted textbook covers the basic geometry and topology of two- and three-dimensional spaces—stretching students’ minds as they learn to visualize new possibilities for the shape of our universe. Written by a master expositor, leading researcher in the field, and MacArthur Fellow, its informal exposition and engaging exercises appeal to an exceptionally broad audience, from liberal arts students to math undergraduate and graduate students looking for a clear intuitive understanding to supplement more formal texts, and even to laypeople seeking an entertaining self-study book to expand their understanding of space. Features of the Third Edition: Full-color figures throughout "Picture proofs" have replaced algebraic proofs Simpler handles-and-crosscaps approach to surfaces Updated discussion of cosmological applications Intuitive examples missing from many college and graduate school curricula About the Author: Jeffrey R. Weeks is a freelance geometer living in Canton, New York. With support from the U.S. National Science Foundation, the MacArthur Foundation and several science museums, his work spans pure mathematics, applications in cosmology and—closest to his heart—exposition for the general public.
Symmetry, Shape, and Space uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.
Starting with an analysis of the different forms of symmetry, the authors show how a few key principles can help us undrstand everything from cats' movements, corn circles and snow crystals to subatomic particles and the overall structure of the cosmos.
Learn more about two-dimensional shapes with this engaging title! This book teaches young readers about various qualities relating to two-dimensional shapes, introducing them to new concepts and vocabulary terms like regular and irregular shapes, right angles, lines of symmetry, and congruency. Practice geometry skills and STEM skills by identifying two-dimensional shapes and their qualities. Clear, colorful diagrams keep readers engaged and encourage children to find shapes all around them!