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A Mathematical Tapestry

Author : Peter Hilton
ISBN : 9781139489072
Genre : Mathematics
File Size : 76. 3 MB
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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

Author : Peter Hilton
ISBN : 0521764106
Genre : Mathematics
File Size : 63. 91 MB
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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

Author : Nicholas Mee
ISBN : 9780192592934
Genre : Science
File Size : 34. 99 MB
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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

Author : Catherine Twomey Fosnot
ISBN : 0873536592
Genre : Mathematics
File Size : 33. 93 MB
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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.

Tapestry Designs In Weaving Of Mathematical Solutions

Author : L. Mabry Adams
ISBN : OCLC:11057039
Genre : Mathematics
File Size : 87. 28 MB
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The Loom Of God

Author : Clifford A. Pickover
ISBN : UOM:39015039060770
Genre : Mathematics
File Size : 38. 23 MB
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An exploration of the links between numbers, religion, and mysticism discusses computers, the geometry of Stonehenge, the end of the world, and mathematical proofs for the existence of God

A Thomistic Tapestry

Author : Etienne Gilson
ISBN : 904200875X
Genre : Philosophy
File Size : 73. 78 MB
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This book, written by well-known students of Étienne Gilson and especially dedicated to Armand A. Maurer, helps inaugurate a long-overdue special series in philosophy honoring Gilson's legendary scholarship. It presents wide-ranging expositions of Thomist realism in the tradition of Gilsonian humanism covering themes related to philosophy in general, historical method, aesthetics, metaphysics, epistemology, and politics.

Epistemological Foundations Of Mathematical Experience

Author : Leslie P. Steffe
ISBN : 9781461231783
Genre : Psychology
File Size : 53. 59 MB
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On the 26th, 27th, and 28th of February of 1988, a conference was held on the epistemological foundations of mathematical experience as part of the activities of NSF Grant No. MDR-8550463, Child Generated Multiplying and Dividing Algorithms: A Teaching Experiment. I had just completed work on the book Construction of Arithmetical Meanings and Strategies with Paul Cobb and Ernst von Glasersfeld and felt that substantial progress had been made in understanding the early numerical experiences of the six children who were the subjects of study in that book. While the book was in preparation, I was also engaged in the teaching experiment on mUltiplying and dividing algorithms. My focus in this teaching experiment was on investigating the mathematical experiences of the involved children and on developing a language through which those experiences might be expressed. However, prior to immersing myself in the conceptual analysis of the mathematical experiences of the children, I felt that it was crucial to critically evaluate the progress that we felt we had made in our earlier work. It was toward achieving this goal that I organized the conference. When trying to understand the mathematical experiences of a child, one can do no better than to interact with the child in a mathematical context guided by the intention to specify the child's current knowledge and the progress the child might make.

Celestial Tapestry

Author : Nicholas Mee
ISBN : 9780192592927
Genre : Science
File Size : 22. 74 MB
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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.

A Tapestry Of Orbits

Author : D. King-Hele
ISBN : 0521017327
Genre : Science
File Size : 40. 73 MB
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The story of how small changes in satellite orbits have led to great changes in our views of the Earth and atmosphere is told in this narrative from the pioneer of this orbit analysis technique.

Roots Of Wisdom A Tapestry Of Philosophical Traditions

Author : Helen Buss Mitchell
ISBN : 9781337672047
Genre : Education
File Size : 64. 93 MB
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Mitchell's ROOTS OF WISDOM: A TAPESTRY OF PHILOSOPHICAL TRADITIONS, Eighth Edition, invites readers to explore universal and current philosophical issues through a rich tapestry of worldviews that include the ideas and traditions of men and women from the West, Asia, the Americas and Africa. No other book covers such a wide breadth of multicultural coverage coupled with a clear, concise and engaging writing style. Striking images from fine art, cartoons, poetry, movies, current events and popular music illustrate our diverse cultural inheritance and bring the issues of philosophy to life. This edition's theme of personhood is addressed in the Confucian Socially Molded Self, discussions about who is and who is not a citizen in a republic, the construction of a planned city and the question of whether other animals do or should enjoy personhood. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Tapestry

Author : Raghunandan
ISBN : 9789350181409
Genre :
File Size : 56. 75 MB
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Man has travelled a long way from his cave days, but still his fears are the same and so are his feelings and emotions. During this long journey, he has achieved various distinctions in different fields, but still he has not learnt the lesson of world unity. If he succeeds in seeing this unity, not only with others of his kind, but also with all the creatures and even the inanimate things, perhaps he may be able to get rid of the fear, which makes him untruthful, selfish and scheming. This collection of twentyone stories is an attempt to peep into the unity that weaves this existence into a Tapestry.

A Tapestry Of Faiths

Author : Winfried Corduan
ISBN : 9781725226265
Genre : Religion
File Size : 79. 63 MB
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Christians find themselves in an increasingly diverse world. The new place of worship in our neighborhood might just as likely be a Hindu temple or a Muslim mosque as a church or a synagogue. How should we view other world religions, and more important, how should we engage our religiously oriented neighbors in conversation? Do all religions teach the same thing? Or are there significant differences? Do we try to minimize differences and just get along? Or do we hold out the Christian faith as the one true hope for all the world? Drawing on his wide experience and knowledge of other religions and how they are actually lived, Winfried Corduan helps us sort through the complex tapestry of faiths around the globe. He contends that there are common threads of understanding that can serve to link us in meaningful discussion. From these common threads we can go on to explore genuine differences. Through the course of the book, Corduan leads readers to explore the important issues of revelation and truth, morality and guilt, grace and redemption, eschatology and hope. Ultimately, Jesus Christ, he argues, stands unique among religious figures and Christianity unique among the world's religions. This is a book that strengthens Christians in their convictions while encouraging them to engage their neighbors with humility, loved, and discernment.

The Loom Of God

Author : Clifford A. Pickover
ISBN : 1402764006
Genre : Mathematics
File Size : 35. 20 MB
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Previous ed. published in 1997 under the title: The loom of God: mathematical tapestries at the edge of time, by Plenum Press.

The Mathematics Of Various Entertaining Subjects

Author : Jennifer Beineke
ISBN : 9780691194417
Genre : Mathematics
File Size : 42. 9 MB
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The history of mathematics is replete with examples of major breakthroughs resulting from solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, there remain few conduits for research in recreational mathematics. The Mathematics of Various Entertaining Subjects now returns with an all-new third volume, presenting new research in diverse areas of recreational mathematics. This volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Readers will create Spiral Galaxies, Japanese symmetric grid puzzles consisting of squares and circles whose solutions are letters and numbers; delve into a paradox in the game of Bingo; examine the card tricks of mathematician-philosopher Charles Sanders Peirce; learn about the mathematics behind Legos; and much more. Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts.

The Tapestry Of Me

Author : Cheryll Ann O'Callaghan
ISBN : 9781504346207
Genre : Philosophy
File Size : 22. 58 MB
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Are we taught how to smell, breathe, feel, or see? We are born KNOWING and when our physical vessel is ready for natural, instinctive experiences, they happen. With the Energy Consciousness of the Physical Human Vessel, through the vibrations of the Universe, WE will KNOW our purpose that is connected to the world in which we live, and feel “Home” again. We are organically designed to experience our world in a holographic manner. Through Design (body), Thought (mind) and Purpose (spirit), we are able to perceive the perfection and completeness that we ARE within the tapestry of creation. By becoming aware of our Self again, True worth is discovered. To witness the origin of the patterns that are found throughout our world not only allows us to intellectually accept them, we also feel the connectedness between their vibrations and our Self . We are not separate from each other, fragmented to stand in our truth alone. We support each other, intricately woven into a tapestry so that each of us can HOLD our personal truths. WE are an intricate part of the Universal design. We are a thread within a complicated weave that, with purpose, transforms and expands into infinite possibilities. Come and allow a shift in perception by taking a journey within ‘Self’ through the guidance of Sacred Geometry.

Thinking Complexity

Author : Paul Cilliers
ISBN : PSU:000061166134
Genre : Philosophy
File Size : 77. 34 MB
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This volume examines the impact of complexity theory on various disciplines, especially the area of philosophy. (Philosophy)

Think First Apply Math Think Further

Author : William J. Adams
ISBN : 9781413454321
Genre : Mathematics
File Size : 47. 58 MB
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Tapestry

Author : The Divine Artist
ISBN : 9781503567177
Genre : Poetry
File Size : 78. 61 MB
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When I say that beauty is truth, truth beauty that is what I mean. Beauty in all of its forms is all the world needs. Tapestry asks the question why. Why do evil and suffering exist? For no reason at all, of course. The result of a grand accident. It is the recognition, however, and implementation of pure love and beauty that will bring the universe to its true destiny. We have the power within us to right the eternal wrongs of history no matter how big the mistakes—even one as monumental as the creation of metaphysical evil and suffering. It is true what Leo Buscaglia declares as the final assessment of The Glass Bead Game that love is the only solution to the human existence. Sometimes the impossible does come true!

An Orkney Tapestry

Author : George Mackay Brown
ISBN : 9781788852357
Genre : Travel
File Size : 80. 9 MB
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First published in 1969, An Orkney Tapestry, George Mackay Brown's seminal work, is a unique look at Orkney through the eye of a poet. Originally commissioned by his publisher as an introduction to the Orkney Islands, Brown approached the writing from a unique perspective and went on to produce a rich fusion of ballad, folk tale, short story, drama and environmental writing. The book, written at an early stage in the author’s career, explores themes that appear in his later work and was a landmark in Brown’s development as a writer. Above all, it is a celebration of Orkney's people, language and history. This edition reproduces Sylvia Wishart’s beautiful illustrations, commissioned for the original hardback. Made available again for the first time in over 40 years, this new edition sits alongside Nan Shepherd’s The Living Mountain as an important precursor of environmental writing by the likes of Kathleen Jamie, Robert Macfarlane, Malachy Tallack and, most recently, Amy Liptrot.

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