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Author: Barry Cipra
Publisher: CRC Press
ISBN: 1439864799
Category : Mathematics
Languages : en
Pages : 309
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Book Description
The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi
Author: Barry Cipra
Publisher: CRC Press
ISBN: 1439864799
Category : Mathematics
Languages : en
Pages : 309
Get Book Here
Book Description
The tradition of a publication based on the Gathering for Gardner continues with this new carefully selected and edited collection in which Martin Gardner and friends inspire and entertain. The contributors to this volume---virtually a list of Who's Who in the World of Puzzles---trace their inspiration to Martin Gardner's puzzle column in Scientifi
Author: Elwyn R. Berlekamp
Publisher: CRC Press
ISBN: 1439863849
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This volume comprises an imaginative collection of pieces created in tribute to Martin Gardner. Perhaps best known for writing Scientific American's "Mathematical Games" column for years, Gardner used his personal exuberance and fascination with puzzles and magic to entice a wide range of readers into a world of mathematical discovery. This tribute
Author: Erik D. Demaine
Publisher: Cambridge University Press
ISBN: 1107394090
Category : Computers
Languages : en
Pages : 388
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Book Description
Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.
Author: Erik D. Demaine
Publisher: CRC Press
ISBN: 143986571X
Category : Mathematics
Languages : en
Pages : 361
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Book Description
Martin Gardner has entertained the world with his puzzles for decades and inspired countless mathematicians and scientists. As he rounds out another decade, his colleagues are paying him tribute with this special collection that contains contributions from some of the most respected puzzlemasters, magicians and mathematicians, including: - John H. Conway - William R. Gosper - Ed Pegg, Jr. - Roger Penrose - Raymond Smullyan - Peter Winkler. And of course there is something from the original puzzlemaster himself, Martin Gardner.
Author: John Montroll
Publisher: Courier Corporation
ISBN: 9780486422718
Category : Crafts & Hobbies
Languages : en
Pages : 124
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Book Description
Step-by-step instructions and 970 clear diagrams show beginning and experienced paperfolders how to create 27 amazing polyhedra from one sheet of paper. Graded according to difficulty, the projects range from a simple cube, tetrahedron and octahedron to a challenging rhombic dodecahedron, sunken icosahedron, and an antidiamond with pentagonal base.
Author: Patsy Wang-Iverson
Publisher: CRC Press
ISBN: 143987350X
Category : Mathematics
Languages : en
Pages : 662
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Book Description
Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.The fifth such meeting, 5OSME (July 13-17, 2010, Singapore Management University) fol
Author: Michael H. Albert
Publisher: Cambridge University Press
ISBN: 0521861349
Category : Mathematics
Languages : en
Pages : 577
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Book Description
This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 0137926812
Category : Computers
Languages : en
Pages : 995
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Book Description
The Art of Computer Programming is Knuth's multivolume analysis of algorithms. With the addition of this new volume, it continues to be the definitive description of classical computer science. Volume 4B, the sequel to Volume 4A, extends Knuth's exploration of combinatorial algorithms. These algorithms are of keen interest to software designers because ". . . a single good idea can save years or even centuries of computer time." The book begins with coverage of Backtrack Programming, together with a set of data structures whose links perform "delightful dances" and are ideally suited to this domain. New techniques for important applications such as optimum partitioning and layout are thereby developed. Knuth's writing is playful, and he includes dozens of puzzles to illustrate the algorithms and techniques, ranging from popular classics like edge-matching to more recent crazes like sudoku. Recreational mathematicians and computer scientists will not be disappointed! In the second half of the book, Knuth addresses Satisfiability, one of the most fundamental problems in all of computer science. Innovative techniques developed at the beginning of the twenty-first century have led to game-changing applications, for such things as optimum scheduling, circuit design, and hardware verification. Thanks to these tools, computers are able to solve practical problems involving millions of variables that only a few years ago were regarded as hopeless. The Mathematical Preliminaries Redux section of the book is a special treat, which presents basic techniques of probability theory that have become prominent since the original "preliminaries" were discussed in Volume 1. As in every volume of this remarkable series, the book includes hundreds of exercises that employ Knuth's ingenious rating system, making it easy for readers of varying degrees of mathematical training to find challenges suitable to them. Detailed answers are provided to facilitate self-study. "Professor Donald E. Knuth has always loved to solve problems. In Volume 4B he now promotes two brand new and practical general problem solvers, namely (0) the Dancing Links Backtracking and (1) the SAT Solver. To use them, a problem is defined declaratively (0) as a set of options, or (1) in Boolean formulae. Today's laptop computers, heavily armoured with very high speed processors and ultra large amounts of memory, are able to run either solver for problems having big input data. Each section of Volume 4B contains a multitudinous number of tough exercises which help make understanding surer. Happy reading!" --Eiiti Wada, an elder computer scientist, UTokyo "Donald Knuth may very well be a great master of the analysis of algorithms, but more than that, he is an incredible and tireless storyteller who always strikes the perfect balance between theory, practice, and fun. [Volume 4B, Combinatorial Algorithms, Part 2] dives deep into the fascinating exploration of search spaces (which is quite like looking for a needle in a haystack or, even harder, to prove the absence of a needle in a haystack), where actions performed while moving forward must be meticulously undone when backtracking. It introduces us to the beauty of dancing links for removing and restoring the cells of a matrix in a dance which is both simple to implement and very efficient." --Christine Solnon, Department of Computer Science, INSA Lyon Register your book for convenient access to downloads, updates, and/or corrections as they become available.
Author: J. Akiyama
Publisher: World Scientific
ISBN: 9812814760
Category : Education
Languages : en
Pages : 242
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Book Description
Math Wonderland is a museum of interactive mathematical models in Hokkaido, Japan, founded by one of the authors, Jin Akiyama, in 2003. The models in Wonderland, many of which have been exhibited all over Japan and in cities around the world, are meant to help children and young adults discover and experience the wonders of mathematics.This book is centered around the experiences of three fictional middle-school students during a visit to Wonderland. They spend a day in Wonderland, handling the interactive models and participating in the activities offered there. At the end of the day, they leave with a genuine appreciation of mathematics gained from witnessing its beauty, applicability and inevitability.The book is an important contribution to the genre because it presents mathematics and models that have never before appeared in books in the same category: reversible solids, plane tiling with developments of tetrahedrons, and double-packable solids, which are derived from the authors' own research papers published in mathematics journals. It is designed to entertain, inform and even teach some mathematics. Although it is targeted at young adults, parents and teachers may learn something from the book as well.
Author: LIT Verlag
Publisher: LIT Verlag
ISBN: 3643963653
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?
