Geometry in Gold

Geometry in Gold

Author: Marcus Fraser

Publisher: Gower Publishing Company, Limited

Published: 2005

Total Pages: 48

ISBN-13:

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This book is devoted to a monumental and superbly illuminated very large early fourteenth-century Mamluk Qur'an in muhaqqaq script. It constitutes the final part (Juz' 30) of a superb two-volume Qur'an of which the first volume is preserved in the National Museum in Damascus while the second volume, from which the present section originates, is widely dispersed. Remarkably, here the final part of the Qur'an is reunited with its magnificent and richly decorated double finispieces, thus reassembling what must have been among the most striking and lavishly illuminated sections of the entire manuscript. The high degree of inventiveness along with the overall quality of the manuscript point to the work of a master artist. Especially the geometric proficiency suggests the work of Muhammad ibn Mubadir, one of the leading illuminators in Mamluk Cairo at the turn of the thirteenth century. Although little is known of the life of this artist, his illumination in the Baybars al-Jashnagir Qur'an, now in the British Library, and a Qur'an copied in 1306-10 for an unknown patron, now in the Chester Beatty Library, constitute some of the most celebrated achievements of Mamluk Qur'an illumination.


The Geometry Code

The Geometry Code

Author: Bruce Rawles

Publisher: Elysian Publishing

Published: 2012-04

Total Pages: 218

ISBN-13: 9780965640572

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Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.


From Groups to Geometry and Back

From Groups to Geometry and Back

Author: Vaughn Climenhaga

Publisher: American Mathematical Soc.

Published: 2017-04-07

Total Pages: 442

ISBN-13: 1470434792

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Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.


Gold metallogeny and exploration

Gold metallogeny and exploration

Author: R. P. Foster

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 447

ISBN-13: 1461304970

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Within the last decade, the high and continuing demand for gold has prompted a global gold rush on a scale never before seen, not even in the heady days of Ballarat, California and the Yukon. Gold is being sought on every continent and, with very few exceptions, in every country around the world. Such interest and fierce competition has demanded considerable innovation and improvement in exploration techniques paralleled by a rapid expansion of the geological database and consequent genetic modelling for the many different types of gold deposits now recognized. This proliferation of data has swamped the literature and left explorationist and academic alike unable to sift more than a small proportion of the accumulating information. This new book represents an attempt to address this major problem by providing succinct syntheses ofall major aspects ofgold metallogeny and exploration, ranging from the chemical distribution of gold in the Earth's crust, and the hydrothermal chemistry of gold, to Archaean and Phanerozoic lode deposits, epithermal environments, chemical sediments, and placer deposits, and culminates in chapters devoted to geochemical and geophysical exploration, and the economics of gold deposits. Each chapter is written by geoscientists who are acknowledged internationally in their respective fields, thus guaranteeing a broad yet up-to-date coverage. In addition, each chapter is accompanied by reference lists which provide readers with access to the most pertinent and useful publications.


The Art and Craft of Problem Solving

The Art and Craft of Problem Solving

Author: Paul Zeitz

Publisher: John Wiley & Sons

Published: 2017

Total Pages: 389

ISBN-13: 1119239907

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This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.


Geometry: Euclid and Beyond

Geometry: Euclid and Beyond

Author: Robin Hartshorne

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 535

ISBN-13: 0387226761

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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.


Sacred Geometry

Sacred Geometry

Author: Miranda Lundy

Publisher: Bloomsbury Publishing USA

Published: 2001-04-01

Total Pages: 68

ISBN-13: 0802713823

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Originally published: Presteigne, Powys, Wales: Wooden Books Ltd., 1998.


Gold Medal Physics

Gold Medal Physics

Author: John Eric Goff

Publisher: Johns Hopkins University Press+ORM

Published: 2010-01-01

Total Pages: 230

ISBN-13: 0801897939

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A physicist explains the science behind some of the greatest feats in sports history—from diving like Greg Louganis to bending it like Beckham. Nothing is quite as thrilling as watching superior athletes do the seemingly impossible. From Doug Flutie's "Hail Mary" pass to Lance Armstrong's record-breaking climb of Alp d'Huez to David Beckham's astounding ability to bend a soccer kick, we marvel and wonder, "How did they do that?" Well, physics professor John Eric Goff has the answers. In this scientific tour of the wide world of sports, John Eric Goff discusses the science behind American football, soccer, cycling, skating, diving, long jumping, and a host of other competitive sports. Using elite athletes as starting points, Goff explains the basic physical properties involved in amazing and everyday athletic endeavors. Accompanied by illustrations and mathematical equations, each chapter builds on knowledge imparted in earlier chapters to provide a firm understanding of the concepts involved. Fun, witty, and imbued throughout with admiration for the simple beauty of physics, Gold Medal Physics is sure to inspire readers to think differently about the next sporting event they watch.