Cut The Knot

Author : Alexander Bogomolny
Publisher : Wolfram Media
ISBN 13 : 9781579550417
Total Pages : 310 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Cut the Knot written by Alexander Bogomolny and published by Wolfram Media. This book was released on 2020-11-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: He who untied the Gordian knot would rule all of Asia So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia, eventually reaching as far east as Northern India. Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org, these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need.

Author : Colin Conrad Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.81/5 ( download)

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Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

Author : Marc Chamberland
Publisher : Princeton University Press
ISBN 13 : 0691175691
Total Pages : 240 pages
Book Rating : 4.90/5 ( download)

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Download or read book Single Digits written by Marc Chamberland and published by Princeton University Press. This book was released on 2017-05-30 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics."--Jacket.

Author : Fukagawa Hidetoshi
Publisher : Princeton University Press
ISBN 13 : 1400829712
Total Pages : 392 pages
Book Rating : 4.12/5 ( download)

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Download or read book Sacred Mathematics written by Fukagawa Hidetoshi and published by Princeton University Press. This book was released on 2021-08-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Between the seventeenth and nineteenth centuries Japan was totally isolated from the West by imperial decree. During that time, a unique brand of homegrown mathematics flourished, one that was completely uninfluenced by developments in Western mathematics. People from all walks of life--samurai, farmers, and merchants--inscribed a wide variety of geometry problems on wooden tablets called sangaku and hung them in Buddhist temples and Shinto shrines throughout Japan. Sacred Mathematics is the first book published in the West to fully examine this tantalizing--and incredibly beautiful--mathematical tradition. Fukagawa Hidetoshi and Tony Rothman present for the first time in English excerpts from the travel diary of a nineteenth-century Japanese mathematician, Yamaguchi Kanzan, who journeyed on foot throughout Japan to collect temple geometry problems. The authors set this fascinating travel narrative--and almost everything else that is known about temple geometry--within the broader cultural and historical context of the period. They explain the sacred and devotional aspects of sangaku, and reveal how Japanese folk mathematicians discovered many well-known theorems independently of mathematicians in the West--and in some cases much earlier. The book is generously illustrated with photographs of the tablets and stunning artwork of the period. Then there are the geometry problems themselves, nearly two hundred of them, fully illustrated and ranging from the utterly simple to the virtually impossible. Solutions for most are provided. A unique book in every respect, Sacred Mathematics demonstrates how mathematical thinking can vary by culture yet transcend cultural and geographic boundaries.

Author : Gaurav Suri
Publisher : Princeton University Press
ISBN 13 : 1400834775
Total Pages : 296 pages
Book Rating : 4.78/5 ( download)

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Download or read book A Certain Ambiguity written by Gaurav Suri and published by Princeton University Press. This book was released on 2010-07-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

Author : Allan K. Fitzsimmons
Publisher : Rowman & Littlefield
ISBN 13 : 1442215968
Total Pages : 189 pages
Book Rating : 4.62/5 ( download)

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Download or read book Reforming Federal Land Management written by Allan K. Fitzsimmons and published by Rowman & Littlefield. This book was released on 2012 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over a century, American have created laws, processes, objectives, priorities, and rules for federal land management that often conflict with each other. We now have inconsistent laws, unclear priorities, procedural mazes, and an antiquated bureaucratic structure. The result is a loss of public benefits and undesirable impact on natural resources. The author argues for major changes and offers new ideas for how those changes can be accomplished.

Author : Kunio Murasugi
Publisher : Springer Science & Business Media
ISBN 13 : 0817647198
Total Pages : 348 pages
Book Rating : 4.93/5 ( download)

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Download or read book Knot Theory and Its Applications written by Kunio Murasugi and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.

Author : Ulrich Daepp
Publisher : Springer Science & Business Media
ISBN 13 : 0387215603
Total Pages : 395 pages
Book Rating : 4.00/5 ( download)

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Download or read book Reading, Writing, and Proving written by Ulrich Daepp and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.

Author : Leonardo Baccini
Publisher : Oxford University Press, USA
ISBN 13 : 0199388997
Total Pages : 281 pages
Book Rating : 4.98/5 ( download)

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Download or read book Cutting the Gordian Knot of Economic Reform written by Leonardo Baccini and published by Oxford University Press, USA. This book was released on 2015 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades, governments across the developing world have implemented many liberal economic reforms. 'Cutting the Gordian Knot of Economic Reform' shows that international institutions - formal agreements that govern policy formation in member states - made possible some of the most important reforms in developing countries.

Author : Galit Hasan-Rokem
Publisher : Oxford University Press, USA
ISBN 13 : 0195108566
Total Pages : 342 pages
Book Rating : 4.69/5 ( download)

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Download or read book Untying the Knot written by Galit Hasan-Rokem and published by Oxford University Press, USA. This book was released on 1996 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects eighteen previously unpublished essays on the riddle--a genre of discourse found in virtually every human culture. Hasan-Rokem and Shulman have drawn these essays from a variety of cultural perspectives and disciplines; linguists, anthropologists, folklorists, and religion and literature scholars consider riddling practices in Hebrew, Finnish, Indian languages, Chinese, and classical Greek. The authors seek to understand the peculiar expressive power of the riddle, and the cultural logic of its particular uses; they scrutinize the riddle's logical structure and linguistic strategies, as well as its affinity to neighboring genres such as enigmas, puzzles, oracular prophecy, proverbs, and dreams. In this way, they begin to answer how riddles relate to the conceptual structures of a particular culture, and how they come to represent a culture's cosmology or cognitive map of the world. More importantly, these essays reveal the human need for symbolic ordering--riddles being one such form of cultural ritual.