Download or read book A Mathematical Tapestry written by Peter Hilton and published by Cambridge University Press. This book was released on 2010-07-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Mathematical Tapestry written by Peter Hilton and published by . This book was released on 2010 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--
Download or read book Models of Intervention in Mathematics written by Catherine Twomey Fosnot and published by . This book was released on 2010 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Unity of Combinatorics written by Ezra Brown and published by American Mathematical Soc.. This book was released on 2021-04-05 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous connections and threads weaving them together to form a beautifully patterned tapestry of ideas. Topics include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable. Few mathematicians have been as active in this area as Richard Guy, now in his eighth decade of mathematical productivity. Guy is the author of over 300 papers and twelve books in geometry, number theory, graph theory, and combinatorics. In addition to being a life-long number-theorist and combinatorialist, Guy's co-author, Ezra Brown, is a multi-award-winning expository writer. Together, Guy and Brown have produced a book that, in the spirit of the founding words of the Carus book series, is accessible “not only to mathematicians but to scientific workers and others with a modest mathematical background.”
Download or read book Celestial Tapestry written by Nicholas Mee and published by Oxford University Press. This book was released on 2020-09-11 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Christmas Tapestry written by Patricia Polacco and published by Penguin. This book was released on 2008-09-11 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a leak ruins the sacristy wall in his father’s church, Jonathan Jefferson Weeks thinks Christmas Eve service will be ruined. Luckily he and his father find a beautiful tapestry, perfect for covering the damaged wall and giving the church a festive look! But then, an old Jewish woman recognizes the beautiful cloth. Her discovery leads to a real miracle on Christmas Eve.
Download or read book Shapes written by Philip Ball and published by Oxford University Press. This book was released on 2011-05-26 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Nature's patterns is a trilogy composed of Shapes, Flow, and Branches."
Download or read book The Self made Tapestry written by Philip Ball and published by . This book was released on 2001 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Medieval Tapestries Coloring Book written by Marty Noble and published by Courier Corporation. This book was released on 2004-09-10 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of lovely images invites coloring book fans to explore the exquisite beauty of medieval tapestries. Thirty handsome drawings of unicorns, delicate damsels, knights in armor, and other details from priceless tapestries can be enhanced with a rainbow of colors. Captions.
Download or read book The Loom Of God written by Clifford A. Pickover and published by Basic Books (AZ). This book was released on 1997-03-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Vampire Tapestry written by Suzy McKee Charnas and published by Macmillan. This book was released on 2008-08-19 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in Orb, the vampire book Stephen King called "Scary, entertaining, suspenseful.... unputdownable"
Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron and published by Courier Corporation. This book was released on 2012-04-26 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Download or read book Weaver written by Stephen Baxter and published by Penguin. This book was released on 2008 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Germany launches a successful invasion of England during World War II, American historian Mary Wooler, her warrior son Gary, and Ben Kaman, a Jewish refugee, become caught in the middle of the conflict as a dark conspiracy threatens to destroy the very fabric of time itself.
Download or read book Mostly Surfaces written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.
Download or read book Indigenous Knowledge and Ethnomathematics written by Eric Vandendriessche and published by Springer Nature. This book was released on 2023-02-14 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a series of ethnographic studies, which illustrate issues of wider importance, such as the role of cultural traditions, concepts and learning procedures in the development of formal (or mathematical) thinking outside of the western tradition. It focuses on research at the crossroads of anthropology and ethnomathematics to document indigenous mathematical knowledge and its inclusion in specific cultural patterns. More generally, the book demonstrates the heuristic value of crossing ethnographical, anthropological and ethnomathematical approaches to highlight and analyze—or "formalize" with a pedagogical outlook—indigenous mathematical knowledge. The book is divided into three parts. The first part extensively analyzes theoretical claims using particular ethnographic data, while revealing the structural mathematical features of different ludic, graphic, or technical/procedural practices in their links to other cultural phenomena. In the second part, new empirical studies that add data and perspectives from the body of studies on indigenous knowledge systems to the ongoing discussions in mathematics education in and for diverse cultural traditions are presented. This part considers, on the one hand, the Brazilian work in this field; on the other hand, it brings ethnographic innovation from other parts of the world. The third part comprises a broad philosophical discussion of the impact of intuitive or "ontological" premises on mathematical thinking and education in the light of recent developments within so-called indigenously inspired thinking. Finally, the editors’ conclusions aim to invite the broad and diversified field of scholars in this domain of research to seek alternative approaches for understanding mathematical reasoning and the adjacent adequate educational goals and means. This book is of interest to scholars and students in anthropology, ethnomathematics, history and philosophy of science, mathematics, and mathematics education, as well as other individuals interested in these topics.
Download or read book A Tapestry of Values written by Kevin C. Elliott and published by Oxford University Press. This book was released on 2017-01-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The role of values in scientific research has become an important topic of discussion in both scholarly and popular debates. Pundits across the political spectrum worry that research on topics like climate change, evolutionary theory, vaccine safety, and genetically modified foods has become overly politicized. At the same time, it is clear that values play an important role in science by limiting unethical forms of research and by deciding what areas of research have the greatest relevance for society. Deciding how to distinguish legitimate and illegitimate influences of values in scientific research is a matter of vital importance. Recently, philosophers of science have written a great deal on this topic, but most of their work has been directed toward a scholarly audience. This book makes the contemporary philosophical literature on science and values accessible to a wide readership. It examines case studies from a variety of research areas, including climate science, anthropology, chemical risk assessment, ecology, neurobiology, biomedical research, and agriculture. These cases show that values have necessary roles to play in identifying research topics, choosing research questions, determining the aims of inquiry, responding to uncertainty, and deciding how to communicate information. Kevin Elliott focuses not just on describing roles for values but also on determining when their influences are actually appropriate. He emphasizes several conditions for incorporating values in a legitimate fashion, and highlights multiple strategies for fostering engagement between stakeholders so that value influences can be subjected to careful and critical scrutiny.
Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
