A Mathematical Tapestry
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A Mathematical Tapestry
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Author : Peter Hilton
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22
A Mathematical Tapestry written by Peter Hilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-22 with Mathematics categories.
This easy-to-read 2010 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.
A Mathematical Tapestry
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Author : Peter Hilton
language : en
Publisher:
Release Date : 2010
A Mathematical Tapestry written by Peter Hilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Electronic books categories.
"This 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"--
Celestial Tapestry
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Author : Nicholas Mee
language : en
Publisher: Oxford University Press
Release Date : 2020-09-11
Celestial Tapestry written by Nicholas Mee and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-11 with Science categories.
Artists and scientists view the world in quite different ways. Nevertheless, they are united in a search for hidden order beneath surface appearances. The quest for eternal geometrical designs is also seen in the sacred mathematical patterns created by the world's great religions. Tibetan monks fashion chalk mandalas representing the emergence of order in the universe. Moslem architects wrap their buildings in elaborate abstract tessellating designs. Celestial Tapestry places mathematics within a vibrant cultural and historical context. Threads are woven together telling of surprising influences that pass between the Arts and Mathematics. The story involves intriguing characters: the soldier who laid the foundations for fractals and computer art while recovering in hospital after suffering serious injury in the First World War; the mathematician imprisoned for bigamy whose books had a huge influence on twentieth century art; the pioneer clockmaker who suffered from leprosy; the Victorian housewife who amazed mathematicians with her intuition for higher-dimensional space.
Models Of Intervention In Mathematics
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Author : Catherine Twomey Fosnot
language : en
Publisher:
Release Date : 2010
Models Of Intervention In Mathematics written by Catherine Twomey Fosnot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Explore successful models of intervention. No Child Left Behind has set the high expectation that every child meet grade level expectations. This publication synthesises the research on intervention programmes and best practises related to mathematical instructional pedagogy and differentiation to assist teachers, schools and school districts in improving the manner in which they serve children with challenges in mathematics. Includes Professional Development Facilitator's Guide.
The Loom Of God
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Author : Clifford A. Pickover
language : en
Publisher: Basic Books (AZ)
Release Date : 1997-03-21
The Loom Of God written by Clifford A. Pickover and has been published by Basic Books (AZ) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-21 with Mathematics categories.
From the mysterious cult of Pythagoras, to the awesome mechanics of Stonehenge, to the fearsome "gargoyles" and glorious fractals created on the computer screens of today, Pickover evokes the power of numbers and their connection with the search for the ultimate meaning of the universe. We learn that individuals through the ages have conjured numbers to predict the end of the world, to raise the dead, to find love, and to sway the outcome of wars. Even today, Pickover shows, serious mathematicians sometimes resort to mystical or religious reasoning when trying to convey the power of mathematics. Together we uncover mathematics in the most exquisite forms of nature - from the delicate shape of a spider web, to the curling spiral of a shell. We discover fractals in the branching patterns of blood vessels, plants, and mountain roots. And we grasp the power of a few simple concepts - including the gravitational constant and the speed of light - that control the destiny of the universe. Prepare yourself for a strange and often amusing journey. Let The Loom of God unlock the doors of your imagination through thought-provoking mysteries, puzzles, and problems on topics ranging from ancient Greek astronomy to Armageddon. A playground for computer hobbyists, an inspiring tome for science fiction aficionados, and an adventurous education for the curious in theology, astronomy, mathematics, and history, this book delivers a world of paradox and mystery. The Loom of God promises a creative, enticing, and unforgettable excursion along the vast tapestry, woven through history, of mathematics and the divine.
The Tapestry Of Mathematics
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Author : Mary Laycock
language : en
Publisher: Activity Resources Company, Incorporated
Release Date : 1978
The Tapestry Of Mathematics written by Mary Laycock and has been published by Activity Resources Company, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Shapes
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Author : Philip Ball
language : en
Publisher: OUP Oxford
Release Date : 2011-05-26
Shapes written by Philip Ball and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Nature categories.
Patterns are everywhere in nature - in the ranks of clouds in the sky, the stripes of an angelfish, the arrangement of petals in flowers. Where does this order and regularity come from? It creates itself. The patterns we see come from self-organization. Whether living or non-living, scientists have found that there is a pattern-forming tendency inherent in the basic structure and processes of nature, so that from a few simple themes, and the repetition of simple rules, endless beautiful variations can arise. Part of a trilogy of books exploring the science of patterns in nature, acclaimed science writer Philip Ball here looks at how shapes form. From soap bubbles to honeycombs, delicate shell patterns, and even the developing body parts of a complex animal like ourselves, he uncovers patterns in growth and form in all corners of the natural world, explains how these patterns are self-made, and why similar shapes and structures may be found in very different settings, orchestrated by nothing more than simple physical forces. This book will make you look at the world with fresh eyes, seeing order and form even in the places you'd least expect.
Communications And Cryptography
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Author : Richard E. Blahut
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Communications And Cryptography written by Richard E. Blahut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.
The Self Made Tapestry
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Author : Philip Ball
language : en
Publisher:
Release Date : 2001
The Self Made Tapestry written by Philip Ball and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Philosophy categories.
For centuries, scientists have struggled to understand the origins of the patterns and forms found in nature. Now, in this lucid and accessibly written book, Philip Ball applies state-of-the-art scientific understanding from the fields of biology, chemistry, geology, physics, and mathematics to these ancient mysteries, revealing how nature's seemingly complex patterns originate in simple physical laws. Tracing the history of scientific thought about natural patterns, Ball shows how common presumptions--for example, that complex form must be guided by some intelligence or that form always follows function--are erroneous and continue to mislead scientists today. He investigates specific patterns in depth, revealing that these designs are self-organized and that simple, local interactions between component parts produce motifs like spots, stripes, branches, and honeycombs. In the process, he examines the mysterious phenomenon of symmetry and why it appears--and breaks--in similar ways in different systems. Finally, he attempts to answer this profound question: why are some patterns universal? Illustrations throughout the text, many in full color, beautifully illuminate Ball's ideas.
Flow
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Author : Philip Ball
language : en
Publisher: Oxford University Press
Release Date : 2011-05-26
Flow written by Philip Ball and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Art categories.
"Ball takes us on an inspiring journey into the depths of nature, encompassing all the sciences, in which we discover that broad and elegant principles underpin the formation of the countless beautiful patterns around us."--Inside jacket.