The Tapestry Of Mathematics


The Tapestry Of Mathematics
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A Mathematical Tapestry


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.



The Tapestry Of Mathematics


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.




Models Of Intervention In Mathematics


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.



A Mathematical Tapestry


A Mathematical Tapestry
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FREE 30 Days

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


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.



The Loom Of God


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.



A Richer Picture Of Mathematics


A Richer Picture Of Mathematics
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Author : David E. Rowe
language : en
Publisher: Springer
Release Date : 2018-02-13

A Richer Picture Of Mathematics written by David E. Rowe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Mathematics categories.


Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.



Shapes


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.



Mathematics And Its History


Mathematics And Its History
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Author : John Stillwell
language : en
Publisher: Springer Nature
Release Date : 2020-11-07

Mathematics And Its History written by John Stillwell and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-07 with Mathematics categories.


This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition



Branches


Branches
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Author : Philip Ball
language : en
Publisher: Oxford University Press
Release Date : 2011-05-26

Branches 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.


"Nature's patterns is a trilogy composed of Shapes, Flow, and Branches."