A Field Guide to Hyperbolic Space

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Release : 2007
Genre : Geometrical models
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Book Rating : /5 ( reviews)

A Field Guide to Hyperbolic Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Field Guide to Hyperbolic Space write by Margaret Wertheim. This book was released on 2007. A Field Guide to Hyperbolic Space available in PDF, EPUB and Kindle. Although the properties of hyperbolic space were known for 200 years, it was only in 1997 that mathematician Daina Taimina worked out how to make physical models of it. The method she used was crochet. In this book, Margaret Wertheim presents a brief history of hyperbolic space in mathematics and nature, and offers a "field guide" to its crocheted manifestations.

Extra/Ordinary

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Release : 2011-03-04
Genre : Art
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Book Rating : 628/5 ( reviews)

Extra/Ordinary - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extra/Ordinary write by Maria Elena Buszek. This book was released on 2011-03-04. Extra/Ordinary available in PDF, EPUB and Kindle. Artists, critics, curators, and scholars develop theories of craft in relation to art, chronicle how fine art institutions understand and exhibit craft media, and offer accounts of activist crafting.

Crocheting Adventures with Hyperbolic Planes

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Release : 2018-02-19
Genre : Mathematics
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Book Rating : 196/5 ( reviews)

Crocheting Adventures with Hyperbolic Planes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Crocheting Adventures with Hyperbolic Planes write by Daina Taimina. This book was released on 2018-02-19. Crocheting Adventures with Hyperbolic Planes available in PDF, EPUB and Kindle. Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

Hyperbolic Manifolds and Kleinian Groups

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Release : 1998-04-30
Genre : Mathematics
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Book Rating : 203/5 ( reviews)

Hyperbolic Manifolds and Kleinian Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hyperbolic Manifolds and Kleinian Groups write by Katsuhiko Matsuzaki. This book was released on 1998-04-30. Hyperbolic Manifolds and Kleinian Groups available in PDF, EPUB and Kindle. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. After 1960, Ahlfors and Bers were the leading researchers of Kleinian groups and helped it to become an active area of complex analysis as a branch of Teichmüller theory. Later, Thurston brought a revolution to this area with his profound investigation of hyperbolic manifolds, and at the same time complex dynamical approach was strongly developed by Sullivan. This book provides fundamental results and important theorems which are needed for access to the frontiers of the theory from a modern viewpoint.

Hyperbolic Manifolds and Discrete Groups

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Release : 2009-08-04
Genre : Mathematics
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Book Rating : 131/5 ( reviews)

Hyperbolic Manifolds and Discrete Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hyperbolic Manifolds and Discrete Groups write by Michael Kapovich. This book was released on 2009-08-04. Hyperbolic Manifolds and Discrete Groups available in PDF, EPUB and Kindle. Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.