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Regular Polyhedra
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Download or read book Polyhedra written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.
Book Synopsis Convex Polyhedra with Regular Faces by : Viktor A. Zalgaller
Download or read book Convex Polyhedra with Regular Faces written by Viktor A. Zalgaller and published by Springer. This book was released on 1969 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra by : Kenneth J. M. MacLean
Download or read book A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra written by Kenneth J. M. MacLean and published by Loving Healing Press. This book was released on 2007-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)
Book Synopsis Polyhedron Models by : Magnus J. Wenninger
Download or read book Polyhedron Models written by Magnus J. Wenninger and published by Cambridge University Press. This book was released on 1971 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
Download or read book Euler's Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Book Synopsis The Coxeter Legacy by : Harold Scott Macdonald Coxeter
Download or read book The Coxeter Legacy written by Harold Scott Macdonald Coxeter and published by American Mathematical Soc.. This book was released on with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.
Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics and Its History by : John Stillwell
Download or read book Mathematics and Its History written by John Stillwell and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.
Download or read book Symmetry written by István Hargittai and published by Shelter Publications, Inc.. This book was released on 1994 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains and illustrates some fifteen aspects of symmetry-related subjects.
Book Synopsis Origami Polyhedra for Beginners by : Miyuki Kawamura
Download or read book Origami Polyhedra for Beginners written by Miyuki Kawamura and published by Tuttle Publishing. This book was released on 2024-07-09 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ingenious geometric models from Japan's leading designer of polyhedral origami! Origami Polyhedra for Beginners puts a new spin on the ancient art of paper folding, opening the door to a world filled with beautiful geometric shapes. In this book, Miyuki Kawamura, a master of polyhedral origami, shows you how to create 55 different models using squares of brightly-colored paper. Modular origami models are created using multiple sheets of paper that are folded and then locked together without the use of glue or tape. Clear step-by-step instructions for each model are provided. These amazing creations will captivate everyone who sees them! The models in this book are surprisingly easy to make, and include: Building Blocks and Tiles which can be stacked and combined Striking Pyramids, Cubes, Stars and Spheres Dramatic polyhedral "Wireframes" and "Skeletons" with open latticework Star-shaped Icosahedrons that look like they belong on a Christmas tree Playful Windmills, Water Wheels and many other Polyhedral "Kits"! The sense of accomplishment and delight you will experience from completing these models is well worth the time and effort!
Book Synopsis Mathematics Is Not a Spectator Sport by : George Phillips
Download or read book Mathematics Is Not a Spectator Sport written by George Phillips and published by Springer Science & Business Media. This book was released on 2005-12-16 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry Presents an exciting variety of topics to motivate beginning students May be used as an introductory course or as background reading
Book Synopsis A Ludic Journey into Geometric Topology by : Ton Marar
Download or read book A Ludic Journey into Geometric Topology written by Ton Marar and published by Springer Nature. This book was released on 2022-09-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond.
Book Synopsis Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem by : A. R. Rajwade
Download or read book Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem written by A. R. Rajwade and published by Springer. This book was released on 2001-01-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Map Coloring, Polyhedra and the FourColor Problem by : David W. Barnette
Download or read book Map Coloring, Polyhedra and the FourColor Problem written by David W. Barnette and published by American Mathematical Soc.. This book was released on 1984-03-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences by : Ivor Grattan-Guiness
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guiness and published by Routledge. This book was released on 2004-11-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Mathematics via Problems: Part 2: Geometry by : Alexey A. Zaslavsky
Download or read book Mathematics via Problems: Part 2: Geometry written by Alexey A. Zaslavsky and published by American Mathematical Soc.. This book was released on 2021-08-24 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, was recently published in the same series. Part III, Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into more sophisticated topics such as projective and affine geometry, solid geometry, and so on, thus building a bridge between standard high school exercises and more intricate notions in geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Book Synopsis Mathematical Models by : Gerd Fischer
Download or read book Mathematical Models written by Gerd Fischer and published by Springer. This book was released on 2017-09-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents beautiful photos of mathematical models of geometric surfaces made from a variety of materials including plaster, metal, paper, wood, and string. The construction of these models at the time (of Felix Klein and others) was not an end in itself, but was accompanied by mathematical research especially in the field of algebraic geometry. The models were used to illustrate the mathematical objects defined by abstract formulas, either as equations or parameterizations. In the second part of the book, the models are explained by experts in the field of geometry. This book is a reprint thirty years after the original publication in 1986 with a new preface by Gert-Martin Greuel. The models have a timeless appeal and a historical value.
