|
|
libcats.org
A Mathematical Tapestry: Demonstrating the Beautiful Unity of MathematicsPeter Hilton, Jean Pedersen, Sylvie DonmoyerThis easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
Скачать книгу бесплатно (pdf, 6.58 Mb)
Читать «A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics» EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Digital Logic DesignАвтор: Brian Holdsworth, Автор: Clive WoodsКатегория: Electronics
Размер книги: 25.32 Mb
The Viscosity Of LiquidsАвтор: Albert Ernest Dunstan, Автор: Ferdinand Bernard Thole
Размер книги: 13.77 Mb
Intervention and Support for Parents and Carers of Children and Young People in the Autistic Spectrum: A Resource for Trainers (Jkp Resource Materials)Автор: Barry Wright, Автор: Chris Williams
Размер книги: 1.36 Mb
A Closer Look at Plant Reproduction, Growth, and Ecology (Introduction to Biology)Автор: Michael Anderson (editor)
Размер книги: 18.05 Mb
|
|
|