The Tower of Hanoi – Myths and Maths

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802374
Total Pages : 340 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Tower of Hanoi – Myths and Maths by : Andreas M. Hinz

Download or read book The Tower of Hanoi – Myths and Maths written by Andreas M. Hinz and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph on the mathematical theory of the solitaire game “The Tower of Hanoi” which was invented in the 19th century by the French number theorist Édouard Lucas. The book comprises a survey of the historical development from the game’s predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-contained presentation of the essential mathematical facts with complete proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics, network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the “Tower of London”, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions impose themselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical experiments supporting its truth, it remains unsettled after more than 70 years and thus demonstrates the timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike.

Hacker-Psohorr-Brāu-Aktiengesellschaft

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis Hacker-Psohorr-Brāu-Aktiengesellschaft by :

Download or read book Hacker-Psohorr-Brāu-Aktiengesellschaft written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Encounters

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Publisher : CRC Press
ISBN 13 : 0429682883
Total Pages : 668 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Discrete Encounters by : Craig Bauer

Download or read book Discrete Encounters written by Craig Bauer and published by CRC Press. This book was released on 2020-05-14 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated

The Mathematics Enthusiast

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Publisher : IAP
ISBN 13 : 1681230178
Total Pages : 301 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis The Mathematics Enthusiast by : Bharath Sriraman

Download or read book The Mathematics Enthusiast written by Bharath Sriraman and published by IAP. This book was released on 2014-12-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.

Heuristic Search

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Publisher : Elsevier
ISBN 13 : 0080919731
Total Pages : 865 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Heuristic Search by : Stefan Edelkamp

Download or read book Heuristic Search written by Stefan Edelkamp and published by Elsevier. This book was released on 2011-05-31 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Search has been vital to artificial intelligence from the very beginning as a core technique in problem solving. The authors present a thorough overview of heuristic search with a balance of discussion between theoretical analysis and efficient implementation and application to real-world problems. Current developments in search such as pattern databases and search with efficient use of external memory and parallel processing units on main boards and graphics cards are detailed. Heuristic search as a problem solving tool is demonstrated in applications for puzzle solving, game playing, constraint satisfaction and machine learning. While no previous familiarity with heuristic search is necessary the reader should have a basic knowledge of algorithms, data structures, and calculus. Real-world case studies and chapter ending exercises help to create a full and realized picture of how search fits into the world of artificial intelligence and the one around us. Provides real-world success stories and case studies for heuristic search algorithms Includes many AI developments not yet covered in textbooks such as pattern databases, symbolic search, and parallel processing units

The Mathematics of Various Entertaining Subjects

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Publisher : Princeton University Press
ISBN 13 : 1400889138
Total Pages : 409 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Mathematics of Various Entertaining Subjects by : Jennifer Beineke

Download or read book The Mathematics of Various Entertaining Subjects written by Jennifer Beineke and published by Princeton University Press. This book was released on 2017-09-05 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.

The Art of Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 1139936662
Total Pages : 392 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis The Art of Mathematics by : Béla Bollobás

Download or read book The Art of Mathematics written by Béla Bollobás and published by Cambridge University Press. This book was released on 2006-09-14 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.

50 Visions of Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191005347
Total Pages : 417 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis 50 Visions of Mathematics by : Dara O' Briain

Download or read book 50 Visions of Mathematics written by Dara O' Briain and published by OUP Oxford. This book was released on 2014-05-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relax: no one understands technical mathematics without lengthy training but we all have an intuitive grasp of the ideas behind the symbols. To celebrate the 50th anniversary of the founding of the Institute of Mathematics and its Applications (IMA), this book is designed to showcase the beauty of mathematics - including images inspired by mathematical problems - together with its unreasonable effectiveness and applicability, without frying your brain. The book is a collection of 50 original essays contributed by a wide variety of authors. It contains articles by some of the best expositors of the subject (du Sautoy, Singh and Stewart for example) together with entertaining biographical pieces and articles of relevance to our everyday lives (such as Spiegelhalter on risk and Elwes on medical imaging). The topics covered are deliberately diverse and involve concepts from simple numerology to the very cutting edge of mathematics research. Each article is designed to be read in one sitting and to be accessible to a general audience. There is also other content. There are 50 pictorial 'visions of mathematics' which were supplied in response to an open call for contributions from IMA members, Plus readers and the worldwide mathematics community. You'll also find a series of "proofs " of Phythagoras's Theorem - mathematical, literary and comedy - after this, you'll never think of Pythagoras the same way again.

A Handbook of Mathematical Discourse

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Publisher : Infinity Publishing
ISBN 13 : 0741416859
Total Pages : 1 pages
Book Rating : 4.7/5 (414 download)

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Book Synopsis A Handbook of Mathematical Discourse by : Charles Wells

Download or read book A Handbook of Mathematical Discourse written by Charles Wells and published by Infinity Publishing. This book was released on 2003 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Richer Picture of Mathematics

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Author :
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.

Man vs Maths

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Publisher : Aurum Press
ISBN 13 : 9781781316900
Total Pages : 0 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Man vs Maths by : Timothy Revell

Download or read book Man vs Maths written by Timothy Revell and published by Aurum Press. This book was released on 2017-08-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Man vs Maths explains the complexities of the mathematics of modern life, showing how understanding a little more maths can improve your life and how to use it to your advantage. Plus along the way you'll discover how social media trends work, why the universe has a favourite number and what this means for you. Mathematics is inescapable. Wherever you go, whatever you do, however you live your life, mathematics plays an important role. From controlling a city’s traffic to finding love, spending money online to building a skyscraper, the mathematics at play in our world is fascinating. Yet despite its ubiquity, for many of us, how the maths of today really works remains complex. â??Mathematician Timothy Revell distills these complexities in this essential guide to modern-day mathematics, exploring questions such as; Could we solve queuing with an equation? How do algorithms control our news? What is the secret behind encryption codes?

Games of No Chance 5

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Publisher : Cambridge University Press
ISBN 13 : 1108485804
Total Pages : 499 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Games of No Chance 5 by : Urban Larsson

Download or read book Games of No Chance 5 written by Urban Larsson and published by Cambridge University Press. This book was released on 2019-05-09 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.

Unconventional Computation and Natural Computation

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Publisher : Springer
ISBN 13 : 3319413120
Total Pages : 214 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Unconventional Computation and Natural Computation by : Martyn Amos

Download or read book Unconventional Computation and Natural Computation written by Martyn Amos and published by Springer. This book was released on 2016-06-17 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Unconventional Computation and Natural Computation, UCNC 2016, held in Manchester, UK, in July 2016. The 15 revised full papers presented together with 5 invited papers were carefully reviewed and selected from 30 submissions. The papers cover a wide range of topics including molecular, cellular, quantum, optical and chaos computing; cellular automata; neural and evolutionary computation; artificial immune systems; Ant algorithms and swarm intelligence; amorphous computing; membrane computing; computational systems biology and computational neuroscience; and synthetic biology.

Science and Empires

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Publisher : Springer Science & Business Media
ISBN 13 : 9401125945
Total Pages : 419 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Science and Empires by : P. Petitjean

Download or read book Science and Empires written by P. Petitjean and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: SCIENCE AND EMPIRES: FROM THE INTERNATIONAL COLLOQUIUM TO THE BOOK Patrick PETITJEAN, Catherine JAMI and Anne Marie MOULIN The International Colloquium "Science and Empires - Historical Studies about Scientific De velopment and European Expansion" is the product of an International Colloquium, "Sciences and Empires - A Comparative History of Scien tific Exchanges: European Expansion and Scientific Development in Asian, African, American and Oceanian Countries". Organized by the REHSEIS group (Research on Epistemology and History of Exact Sciences and Scientific Institutions) of CNRS (National Center for Scientific Research), the colloquium was held from 3 to 6 April 1990 in the UNESCO building in Paris. This colloquium was an idea of Professor Roshdi Rashed who initiated this field of studies in France some years ago, and proposed "Sciences and Empires" as one of the main research programmes for the The project to organize such a colloquium was a bit REHSEIS group. of a gamble. Its subject, reflected in the title "Sciences and Empires", is not a currently-accepted sub-discipline of the history of science; rather, it refers to a set of questions which found autonomy only recently. The terminology was strongly debated by the participants and, as is frequently suggested in this book, awaits fuller clarification.

Ahmes’ Legacy

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Publisher : Springer
ISBN 13 : 3319932543
Total Pages : 174 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Ahmes’ Legacy by : Marcel Danesi

Download or read book Ahmes’ Legacy written by Marcel Danesi and published by Springer. This book was released on 2018-08-11 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at classic puzzles from the perspective of their structures and what they tell us about the brain. It uses the work on the neuroscience of mathematics from Dehaene, Butterworth, Lakoff, Núñez, and many others as a lens to understand the ways in which puzzles reflect imaginative processes blended with rational ones. The book is not about recreational or puzzle-based mathematics in and of itself but rather about what the classic puzzles tell us about the mathematical imagination and its impact on the discipline. It delves into the history of classic math puzzles, deconstructing their raison d’être and describing their psychological features, so that their nature can be fleshed out in order to help understand the mathematical mind. This volume is the first monographic treatment of the psychological nature of puzzles in mathematics. With its user-friendly technical level of discussion, it is of interest to both general readers and those who engage in the disciplines of mathematics, psychology, neuroscience, and/or anthropology. It is also ideal as a textbook source for courses in recreational mathematics, or as reference material in introductory college math courses.

The Zeroth Book of Graph Theory

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Publisher : Springer Nature
ISBN 13 : 3030614204
Total Pages : 122 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis The Zeroth Book of Graph Theory by : Martin Charles Golumbic

Download or read book The Zeroth Book of Graph Theory written by Martin Charles Golumbic and published by Springer Nature. This book was released on 2021-02-09 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marking 94 years since its first appearance, this book provides an annotated translation of Sainte-Laguë's seminal monograph Les réseaux (ou graphes), drawing attention to its fundamental principles and ideas. Sainte-Laguë's 1926 monograph appeared only in French, but in the 1990s H. Gropp published a number of English papers describing several aspects of the book. He expressed his hope that an English translation might sometime be available to the mathematics community. In the 10 years following the appearance of Les réseaux (ou graphes), the development of graph theory continued, culminating in the publication of the first full book on the theory of finite and infinite graphs in 1936 by Dénes König. This remained the only well-known text until Claude Berge's 1958 book on the theory and applications of graphs. By 1960, graph theory had emerged as a significant mathematical discipline of its own. This book will be of interest to graph theorists and mathematical historians.

The Best Writing on Mathematics 2014

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Publisher : Princeton University Press
ISBN 13 : 0691164177
Total Pages : 360 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2014 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2014 written by Mircea Pitici and published by Princeton University Press. This book was released on 2014-11-23 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects essays on mathematics, from the importance of big data and the varying forms of Klein bottles to fountain design and the possible shape of the universe.