A Field Guide To Hyperbolic Space

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A Field Guide to Hyperbolic Space

Author : Margaret Wertheim
Publisher :
ISBN 13 :
Total Pages : 97 pages
Book Rating : 4.:/5 (811 download)

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Book Synopsis A Field Guide to Hyperbolic Space by : Margaret Wertheim

Download or read book A Field Guide to Hyperbolic Space written by Margaret Wertheim and published by . This book was released on 2007 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Maria Elena Buszek
Publisher : Duke University Press
ISBN 13 : 0822347628
Total Pages : 321 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Extra/Ordinary by : Maria Elena Buszek

Download or read book Extra/Ordinary written by Maria Elena Buszek and published by Duke University Press. This book was released on 2011-03-04 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Daina Taimina
Publisher : CRC Press
ISBN 13 : 1351402196
Total Pages : 865 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Crocheting Adventures with Hyperbolic Planes by : Daina Taimina

Download or read book Crocheting Adventures with Hyperbolic Planes written by Daina Taimina and published by CRC Press. This book was released on 2018-02-19 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Katsuhiko Matsuzaki
Publisher : Clarendon Press
ISBN 13 : 0191591203
Total Pages : 265 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Hyperbolic Manifolds and Kleinian Groups by : Katsuhiko Matsuzaki

Download or read book Hyperbolic Manifolds and Kleinian Groups written by Katsuhiko Matsuzaki and published by Clarendon Press. This book was released on 1998-04-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Outer Circles

Author : A. Marden
Publisher : Cambridge University Press
ISBN 13 : 1139463764
Total Pages : 393 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Outer Circles by : A. Marden

Download or read book Outer Circles written by A. Marden and published by Cambridge University Press. This book was released on 2007-05-31 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

Hyperbolic Manifolds and Discrete Groups

Author : Michael Kapovich
Publisher : Springer Science & Business Media
ISBN 13 : 0817649131
Total Pages : 486 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Hyperbolic Manifolds and Discrete Groups by : Michael Kapovich

Download or read book Hyperbolic Manifolds and Discrete Groups written by Michael Kapovich and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction

Author : S. Alinhac
Publisher : Cambridge University Press
ISBN 13 : 1139485814
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Geometric Analysis of Hyperbolic Differential Equations: An Introduction by : S. Alinhac

Download or read book Geometric Analysis of Hyperbolic Differential Equations: An Introduction written by S. Alinhac and published by Cambridge University Press. This book was released on 2010-05-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

Perspectives on Projective Geometry

Author : Jürgen Richter-Gebert
Publisher : Springer Science & Business Media
ISBN 13 : 3642172865
Total Pages : 573 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Perspectives on Projective Geometry by : Jürgen Richter-Gebert

Download or read book Perspectives on Projective Geometry written by Jürgen Richter-Gebert and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.

The Kingdom of Infinite Number

Author : Bryan Bunch
Publisher : Macmillan
ISBN 13 : 9780716744474
Total Pages : 414 pages
Book Rating : 4.7/5 (444 download)

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Book Synopsis The Kingdom of Infinite Number by : Bryan Bunch

Download or read book The Kingdom of Infinite Number written by Bryan Bunch and published by Macmillan. This book was released on 2001-09-15 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.

Crochet Coral Reef

Author : Margaret Wertheim
Publisher :
ISBN 13 : 9780977962235
Total Pages : 0 pages
Book Rating : 4.9/5 (622 download)

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Book Synopsis Crochet Coral Reef by : Margaret Wertheim

Download or read book Crochet Coral Reef written by Margaret Wertheim and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now perhaps the world's largest participatory art and science project, the Crochet Coral Reef combines mathematics, marine biology, environmental consciousness-raising and community art practice. Almost 8,000 people around the world have contributed to making an ever-evolving archipelago of giant woolen seascapes, which have been exhibited at the Hayward Gallery, the Smithsonian and many other venues. This fully illustrated book, written by the project's creators--Margaret and Christine Wertheim of the Institute For Figuring--brings together the scientific and mathematical content behind the project, along with essays about the artistic and cultural resonances of this unique experiment in radical craft practice. With a wealth of color illustrations, the book serves as a record of the 30-plus Crochet Reefs worldwide and names all 7,000-plus contributors in a specially designed section.

Experiencing Geometry

Author : David Wilson Henderson
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Experiencing Geometry by : David Wilson Henderson

Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Mostly Surfaces

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 0821853686
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mostly Surfaces by : Richard Evan Schwartz

Download or read book Mostly Surfaces written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.

Geometry with an Introduction to Cosmic Topology

Author : Michael P. Hitchman
Publisher : Jones & Bartlett Learning
ISBN 13 : 0763754579
Total Pages : 255 pages
Book Rating : 4.7/5 (637 download)

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Book Synopsis Geometry with an Introduction to Cosmic Topology by : Michael P. Hitchman

Download or read book Geometry with an Introduction to Cosmic Topology written by Michael P. Hitchman and published by Jones & Bartlett Learning. This book was released on 2009 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Electromagnetic Anisotropy and Bianisotropy

Author : Tom G. Mackay
Publisher : World Scientific
ISBN 13 : 9814289612
Total Pages : 236 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Electromagnetic Anisotropy and Bianisotropy by : Tom G. Mackay

Download or read book Electromagnetic Anisotropy and Bianisotropy written by Tom G. Mackay and published by World Scientific. This book was released on 2010 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes.

Visual Complex Analysis

Author : Tristan Needham
Publisher : Oxford University Press
ISBN 13 : 9780198534464
Total Pages : 620 pages
Book Rating : 4.5/5 (344 download)

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Book Synopsis Visual Complex Analysis by : Tristan Needham

Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Hyperbolic Partial Differential Equations

Author : Serge Alinhac
Publisher : Springer Science & Business Media
ISBN 13 : 0387878238
Total Pages : 159 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Hyperbolic Partial Differential Equations by : Serge Alinhac

Download or read book Hyperbolic Partial Differential Equations written by Serge Alinhac and published by Springer Science & Business Media. This book was released on 2009-06-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. The book is divided into two parts. The first, which is intuitive and easy to visualize, includes all aspects of the theory involving vector fields and integral curves; the second describes the wave equation and its perturbations for two- or three-space dimensions. Over 100 exercises are included, as well as "do it yourself" instructions for the proofs of many theorems. Only an understanding of differential calculus is required. Notes at the end of the self-contained chapters, as well as references at the end of the book, enable ease-of-use for both the student and the independent researcher.

The Knot Book

Author : Colin Conrad Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Knot Book by : Colin Conrad Adams

Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.