A Mathematical Tapestry

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A Mathematical Tapestry

Author : Peter Hilton
Publisher : Cambridge University Press
ISBN 13 : 1139489070
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis A Mathematical Tapestry by : Peter Hilton

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.

Models of Intervention in Mathematics

Author : Catherine Twomey Fosnot
Publisher :
ISBN 13 : 9780873536592
Total Pages : 195 pages
Book Rating : 4.5/5 (365 download)

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Book Synopsis Models of Intervention in Mathematics by : Catherine Twomey Fosnot

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.

The Loom of God

Author : Clifford A. Pickover
Publisher : Sterling Publishing Company, Inc.
ISBN 13 : 9781402764004
Total Pages : 292 pages
Book Rating : 4.7/5 (64 download)

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Book Synopsis The Loom of God by : Clifford A. Pickover

Download or read book The Loom of God written by Clifford A. Pickover and published by Sterling Publishing Company, Inc.. This book was released on 2009 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Previous ed. published in 1997 under the title: The loom of God: mathematical tapestries at the edge of time, by Plenum Press.

Celestial Tapestry

Author : Nicholas Mee
Publisher : Oxford University Press, USA
ISBN 13 : 0198851952
Total Pages : 337 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Celestial Tapestry by : Nicholas Mee

Download or read book Celestial Tapestry written by Nicholas Mee and published by Oxford University Press, USA. This book was released on 2020-08-28 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Tapestry reveals many remarkable tales, including: the secret message in a masterpiece from the court of Henry VIII; the ancient Chinese book of divination that gave us binary numbers; the connection between astrology, religion and the Apocalypse; and the accounting system that resulted in the burning of the Houses of Parliament.

Shapes

Author : Philip Ball
Publisher : Oxford University Press, USA
ISBN 13 : 019960486X
Total Pages : 323 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Shapes by : Philip Ball

Download or read book Shapes written by Philip Ball and published by Oxford University Press, USA. This book was released on 2011-05-26 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

The Unity of Combinatorics

Author : Ezra Brown
Publisher : American Mathematical Soc.
ISBN 13 : 1470465094
Total Pages : 353 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Unity of Combinatorics by : Ezra Brown

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.”

Weaver

Author : Stephen Baxter
Publisher : Penguin
ISBN 13 : 9780441015924
Total Pages : 342 pages
Book Rating : 4.0/5 (159 download)

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Book Synopsis Weaver by : Stephen Baxter

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.

Math and the Mona Lisa

Author : Bulent Atalay
Publisher : Smithsonian Institution
ISBN 13 : 1588343537
Total Pages : 297 pages
Book Rating : 4.5/5 (883 download)

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Book Synopsis Math and the Mona Lisa by : Bulent Atalay

Download or read book Math and the Mona Lisa written by Bulent Atalay and published by Smithsonian Institution. This book was released on 2011-09-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective.

The Self-made Tapestry

Author : Philip Ball
Publisher :
ISBN 13 : 9780198502432
Total Pages : 316 pages
Book Rating : 4.5/5 (24 download)

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Book Synopsis The Self-made Tapestry by : Philip Ball

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.

Mathematics of Classical and Quantum Physics

Author : Frederick W. Byron
Publisher : Courier Corporation
ISBN 13 : 0486135063
Total Pages : 674 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics of Classical and Quantum Physics by : Frederick W. Byron

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.

Indigenous Knowledge and Ethnomathematics

Author : Eric Vandendriessche
Publisher : Springer Nature
ISBN 13 : 3030974820
Total Pages : 293 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Indigenous Knowledge and Ethnomathematics by : Eric Vandendriessche

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.

Pi of Life

Author : Sunil Singh
Publisher : Rowman & Littlefield
ISBN 13 : 1475833776
Total Pages : 207 pages
Book Rating : 4.4/5 (758 download)

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Book Synopsis Pi of Life by : Sunil Singh

Download or read book Pi of Life written by Sunil Singh and published by Rowman & Littlefield. This book was released on 2017-08-08 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is the most important language in the universe also capable of making us happy in simple and profound ways? Can we really weave the foundations of lifelong joy—humility, gratitude, connection, etc.—through the apparent complexity of numbers? Have we oversold the practicality of mathematics, while ignoring its larger and more human purposes—happiness? In Pi of Life: The Hidden Happiness of Mathematics, Sunil Singh takes the readers on a unique adventure, discovering that all the elements that are essential for lifelong happiness are deeply intertwined with the magic of mathematics. Blending classic wisdom with over 100 pop culture references—music, television and film—Singh whimsically switches the lens in this book from the traditional society teaching math to a new and bold math teaching society. Written with charming buoyancy and intimacy, he takes us on an emotional and surprising journey through the deepest goldmine of mathematics—our personal happiness.

A Richer Picture of Mathematics

Author : David E. Rowe
Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 448 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

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 448 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.

Mostly Surfaces

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 0821853686
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mostly Surfaces by : Richard Evan Schwartz

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.

A Tapestry of Values

Author : Kevin C. Elliott
Publisher : Oxford University Press
ISBN 13 : 0190260823
Total Pages : 225 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis A Tapestry of Values by : Kevin C. Elliott

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 225 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.

Republic of Numbers

Author : David Lindsay Roberts
Publisher : Johns Hopkins University Press
ISBN 13 : 1421433087
Total Pages : 255 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Republic of Numbers by : David Lindsay Roberts

Download or read book Republic of Numbers written by David Lindsay Roberts and published by Johns Hopkins University Press. This book was released on 2019-10-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography