Penrose Tiles To Trapdoor Ciphers And The Return Of Dr Matrix

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Penrose Tiles to Trapdoor Ciphers...and the Return of Dr. Matrix

Martin Gardner
Penrose Tiles to Trapdoor Ciphers and the Return of Dr Matrix Book PDF

Author : Martin Gardner
Publisher : American Mathematical Soc.
Page : 319 pages
File Size : 44,9 Mb
Release : 2020-10-06
Category : Mathematics
ISBN : 9781470463663

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Penrose Tiles to Trapdoor Ciphers...and the Return of Dr. Matrix by Martin Gardner Pdf

Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume was originally published in 1989 and contains columns from published 1976-1978. This 1997 MAA edition contains three new columns written specifically for this volume including the resurrection of the lamented Dr. Matrix.

Penrose Tiles to Trapdoor Ciphers

Martin Gardner
Penrose Tiles to Trapdoor Ciphers Book PDF

Author : Martin Gardner
Publisher : Cambridge University Press
Page : 344 pages
File Size : 45,9 Mb
Release : 1997-07-24
Category : Mathematics
ISBN : 0883855216

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Penrose Tiles to Trapdoor Ciphers by Martin Gardner Pdf

Another superb collection of articles from Martin Gardner, the king of recreational mathematics.

CRC Concise Encyclopedia of Mathematics

Eric W. Weisstein
CRC Concise Encyclopedia of Mathematics Book PDF

Author : Eric W. Weisstein
Publisher : CRC Press
Page : 3253 pages
File Size : 45,8 Mb
Release : 2002-12-12
Category : Mathematics
ISBN : 9781420035223

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CRC Concise Encyclopedia of Mathematics by Eric W. Weisstein Pdf

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Adventures In Recreational Mathematics (In 2 Volumes)

David Singmaster
Adventures In Recreational Mathematics In 2 Volumes Book PDF

Author : David Singmaster
Publisher : World Scientific
Page : 494 pages
File Size : 50,9 Mb
Release : 2021-09-21
Category : Mathematics
ISBN : 9789811251627

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Adventures In Recreational Mathematics (In 2 Volumes) by David Singmaster Pdf

David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.

A Guide to Penrose Tilings

Francesco D'Andrea
A Guide to Penrose Tilings Book PDF

Author : Francesco D'Andrea
Publisher : Springer Nature
Page : 203 pages
File Size : 48,5 Mb
Release : 2023-08-19
Category : Mathematics
ISBN : 9783031284281

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A Guide to Penrose Tilings by Francesco D'Andrea Pdf

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi-crystals. The purpose of this survey, illustrated with more than 200 figures, is to introduce the curious reader to this beautiful topic and be a reference for some proofs that are not easy to find in the literature. The volume covers many aspects of Penrose tilings, including the study, from the point of view of Connes' Noncommutative Geometry, of the space parameterizing these tilings.

Models Of Agglomeration And Glass Transition

Richard Kerner
Models Of Agglomeration And Glass Transition Book PDF

Author : Richard Kerner
Publisher : World Scientific Publishing Company
Page : 380 pages
File Size : 49,9 Mb
Release : 2006-12-06
Category : Science
ISBN : 9781911299295

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Models Of Agglomeration And Glass Transition by Richard Kerner Pdf

This book is for any physicist interested in new vistas in the domain of non-crystalline condensed matter, aperiodic and quasi-crystalline networks and especially glass physics and chemistry. Students with an elementary background in thermodynamics and statistical physics will find the book accessible. The physics of glasses is extensively covered, focusing on their thermal and mechanical properties, as well as various models leading to the formation of the glassy states of matter from overcooled liquids. The models of agglomeration and growth are also applied to describe the formation of quasicrystals, fullerenes and, in biology, to describe virus assembly pathways./a

Solve This

James S. Tanton,James Tanton
Solve This Book PDF

Author : James S. Tanton,James Tanton
Publisher : Cambridge University Press
Page : 236 pages
File Size : 50,9 Mb
Release : 2001-08-23
Category : Education
ISBN : 0883857170

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Solve This by James S. Tanton,James Tanton Pdf

This is a collection of intriguing mathematical problems and activities arising from our everyday experience.

The Universal Book of Mathematics

David Darling
The Universal Book of Mathematics Book PDF

Author : David Darling
Publisher : Turner Publishing Company
Page : 692 pages
File Size : 52,8 Mb
Release : 2008-04-21
Category : Mathematics
ISBN : 9780470307885

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The Universal Book of Mathematics by David Darling Pdf

Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven

Quantum Computing since Democritus

Scott Aaronson
Quantum Computing since Democritus Book PDF

Author : Scott Aaronson
Publisher : Cambridge University Press
Page : 403 pages
File Size : 41,8 Mb
Release : 2013-03-14
Category : Science
ISBN : 9781107310520

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Quantum Computing since Democritus by Scott Aaronson Pdf

Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

Proofs and Confirmations

David M. Bressoud
Proofs and Confirmations Book PDF

Author : David M. Bressoud
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,7 Mb
Release : 1999-08-13
Category : Mathematics
ISBN : 9781316582756

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Proofs and Confirmations by David M. Bressoud Pdf

This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.

Aesthetics of Interdisciplinarity: Art and Mathematics

Kristóf Fenyvesi,Tuuli Lähdesmäki
Aesthetics of Interdisciplinarity Art and Mathematics Book PDF

Author : Kristóf Fenyvesi,Tuuli Lähdesmäki
Publisher : Birkhäuser
Page : 290 pages
File Size : 53,9 Mb
Release : 2017-11-28
Category : Mathematics
ISBN : 9783319572598

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Aesthetics of Interdisciplinarity: Art and Mathematics by Kristóf Fenyvesi,Tuuli Lähdesmäki Pdf

This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.

Mathematics of Tabletop Games

Aaron Montgomery
Mathematics of Tabletop Games Book PDF

Author : Aaron Montgomery
Publisher : CRC Press
Page : 209 pages
File Size : 40,9 Mb
Release : 2024-07-24
Category : Mathematics
ISBN : 9781040089415

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Mathematics of Tabletop Games by Aaron Montgomery Pdf

Mathematics of Tabletop Games provides a bridge between mathematics and hobby tabletop gaming. Instead of focusing on games mathematicians play, such as nim and chomp, this book starts with the tabletop games played by avid gamers and hopes to address the question: which field of mathematics concerns itself with this situation? Readers interested in either mathematics or tabletop games will find this book an engaging way to begin exploring the other topic or the connection between the topics. Features Presents an entry-level exposition of interesting mathematical concepts that are not commonly taught outside of upper-level mathematics courses Acts as a resource for mathematics instructors who wish to provide new examples of standard mathematical concepts Features material that may help game designers and developers make design decisions about game mechanisms Provides working Python code that can be used to solve common questions about games Covers a broad range of mathematical topics that could be used as survey material for undergraduates curious about mathematics.

A Historian Looks Back

Judith V. Grabiner
A Historian Looks Back Book PDF

Author : Judith V. Grabiner
Publisher : MAA
Page : 307 pages
File Size : 54,5 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780883855720

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A Historian Looks Back by Judith V. Grabiner Pdf

An inspiring collection of a historian's work on the history of mathematics.

The G. H. Hardy Reader

Donald J. Albers,Gerald L. Alexanderson,William Dunham,Mathematical Association of America
The G H Hardy Reader Book PDF

Author : Donald J. Albers,Gerald L. Alexanderson,William Dunham,Mathematical Association of America
Publisher : Cambridge University Press
Page : 413 pages
File Size : 47,7 Mb
Release : 2016-04-11
Category : Computers
ISBN : 9781107135550

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The G. H. Hardy Reader by Donald J. Albers,Gerald L. Alexanderson,William Dunham,Mathematical Association of America Pdf

G. H. Hardy ranks among the greatest twentieth-century mathematicians. This book introduces this extraordinary individual and his writing.

Lobachevski Illuminated

Seth Braver
Lobachevski Illuminated Book PDF

Author : Seth Braver
Publisher : American Mathematical Soc.
Page : 227 pages
File Size : 51,6 Mb
Release : 2011-12-31
Category : Education
ISBN : 9781470456405

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Lobachevski Illuminated by Seth Braver Pdf

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2015! Lobachevski Illuminated provides an historical introduction to non-Euclidean geometry. Within its pages, readers will be guided step-by-step through a new translation of Lobachevski's groundbreaking book, The Theory of Parallels. Extensive commentary situates Lobachevski's work in its mathematical, historical, and philosophical context, thus granting readers a vision of the mysterious and beautiful world of non-Euclidean geometry as seen through the eyes of one of its discoverers. Although Lobachevski's 170-year-old text is challenging to read on its own, Seth Braver's carefully arranged “illuminations” render this classic accessible to any modern reader (student, professional, or layman) undaunted by high school mathematics.