The Master Book of Mathematical Recreations

The Master Book of Mathematical Recreations Author : Fred Schuh
Release : 2015-11-11
Publisher : Courier Dover Publications
ISBN : 0486808955
File Size : 67.2 MB
Format : PDF
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Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.

Calculator Puzzles, Tricks and Games

Calculator Puzzles, Tricks and Games Author : Norvin Pallas
Release : 1991-01-01
Publisher : Courier Corporation
ISBN : 9780486266701
File Size : 75.71 MB
Format : PDF, Docs
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A collection of games, tricks, and puzzles which illustrate the capabilities of a calculator.

Mathematical Recreations and Essays

Mathematical Recreations and Essays Author : Walter William Rouse Ball
Release : 1987-01-01
Publisher : Courier Corporation
ISBN : 0486253570
File Size : 51.17 MB
Format : PDF, Mobi
Download : 730
Read : 663

This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" ? The Mathematics Teacher. Index. References for Further Study. Includes 150 black-and-white line illustrations.

Martin Gardner's 6th Book of Mathematical Diversions from $textit {Scientific}$ $textit {American}$

Martin Gardner's 6th Book of Mathematical Diversions from $textit {Scientific}$ $textit {American}$ Author : Martin Gardner
Release : 2020-10-06
Publisher : American Mathematical Soc.
ISBN : 1470463563
File Size : 49.30 MB
Format : PDF, Docs
Download : 672
Read : 308

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 is the original 1971 edition and contains columns published in the magazine from 1963-1965.

Experiments in Topology

Experiments in Topology Author : Stephen Barr
Release : 1989-01-01
Publisher : Courier Corporation
ISBN : 9780486259338
File Size : 75.29 MB
Format : PDF, ePub, Docs
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Read : 1241

"A mathematician named Klein Thought the Moebius band was divine. Said he: 'If you glue The edges of two, You'll get a weird bottle like mine.' " — Stephen Barr In this lively book, the classic in its field, a master of recreational topology invites readers to venture into such tantalizing topological realms as continuity and connectedness via the Klein bottle and the Moebius strip. Beginning with a definition of topology and a discussion of Euler's theorem, Mr. Barr brings wit and clarity to these topics: New Surfaces (Orientability, Dimension, The Klein Bottle, etc.) The Shortest Moebius Strip The Conical Moebius Strip The Klein Bottle The Projective Plane (Symmetry) Map Coloring Networks (Koenigsberg Bridges, Betti Numbers, Knots) The Trial of the Punctured Torus Continuity and Discreteness ("Next Number," Continuity, Neighborhoods, Limit Points) Sets (Valid or Merely True? Venn Diagrams, Open and Closed Sets, Transformations, Mapping, Homotopy) With this book and a square sheet of paper, the reader can make paper Klein bottles, step by step; then, by intersecting or cutting the bottle, make Moebius strips. Conical Moebius strips, projective planes, the principle of map coloring, the classic problem of the Koenigsberg bridges, and many more aspects of topology are carefully and concisely illuminated by the author's informal and entertaining approach. Now in this inexpensive paperback edition, Experiments in Topology belongs in the library of any math enthusiast with a taste for brainteasing adventures

The Enjoyment of Mathematics

The Enjoyment of Mathematics Author : Hans Rademacher
Release : 1990-01-01
Publisher : Courier Corporation
ISBN : 9780486262420
File Size : 34.21 MB
Format : PDF
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Requiring only a basic background in plane geometry and elementary algebra, this classic poses 28 problems that introduce the fundamental ideas that make mathematics truly exciting. "Excellent . . . a thoroughly enjoyable sampler of fascinating mathematical problems and their solutions"—Science Magazine.

Pedagogy Of Mathematics

Pedagogy Of Mathematics Author : Madhu Sahni
Release :
Publisher : Vikas Publishing House
ISBN : 9353383277
File Size : 53.35 MB
Format : PDF, ePub
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Read : 323

The book meets the requirements of BEd students of various Indian universities and hence is useful for all those undergoing teacher training. The book will acquaint these students with mathematics as a school subject and provide them with a solid foundation to build their expertise in the teaching of the subject. For in-service teachers it serves to refresh the methodological knowledge and skills of imparting information.

Writing Math Research Papers - 5th Ed.

Writing Math Research Papers - 5th Ed. Author : Robert Gerver
Release : 2017-12-01
Publisher : IAP
ISBN : 1641131128
File Size : 84.5 MB
Format : PDF, Kindle
Download : 998
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Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their motivation and desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. The Writing Math Research Papers program started at North Shore High School in 1991, and it received the 1997 Chevron Best Practices in Education Award as the premier high school math course in the United States. Author Robert Gerver’s articles on high school mathematics research programs were featured in the National Council of Teachers of Mathematics publication Developing Mathematically Promising Students, the NCTM’s 1999 Yearbook, Developing Mathematical Reasoning in Grades K – 12, and in the September 2017 issue of the Mathematics Teacher.

Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics Author : Bonnie Averbach
Release : 1980
Publisher : Courier Corporation
ISBN : 0486409171
File Size : 59.37 MB
Format : PDF, Mobi
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Many of the most important mathematical concepts were developed from recreational problems. This book uses problems, puzzles, and games to teach students how to think critically. It emphasizes active participation in problem solving, with emphasis on logic, number and graph theory, games of strategy, and much more. Includes answers to selected problems. Index. 1980 edition.

Mathematical Puzzles

Mathematical Puzzles Author : Sam Loyd
Release : 1959
Publisher : Courier Corporation
ISBN : 9780486204987
File Size : 47.87 MB
Format : PDF, ePub
Download : 894
Read : 965

Choice puzzles by one of America's most ingenious creators of mathematical entertainments, ranging from simple exercises in arithmetic to complex calculus problems

Amazing and Aesthetic Aspects of Analysis

Amazing and Aesthetic Aspects of Analysis Author : Paul Loya
Release : 2018-02-18
Publisher : Springer
ISBN : 1493967959
File Size : 71.42 MB
Format : PDF, Docs
Download : 630
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Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.

Mathematical Recreations

Mathematical Recreations Author : Martin Gardner
Release : 1998-01-01
Publisher :
ISBN : 9780486400891
File Size : 60.67 MB
Format : PDF, ePub, Docs
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Games, puzzles by disciples of master mathematician include geometrical puzzles, items on tiling, numbers & coding theory, more.

Ferns of the Vicinity of New York

Ferns of the Vicinity of New York Author : John Kunkel Small
Release : 1975-01-01
Publisher : Courier Corporation
ISBN : 9780486231181
File Size : 64.91 MB
Format : PDF, Mobi
Download : 124
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90 species of true fern allies covered in detail. 85 full-page drawings, 13 keys, etc.

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays Author : Elwyn R. Berlekamp
Release : 2018-05-08
Publisher : CRC Press
ISBN : 0429945612
File Size : 49.37 MB
Format : PDF, ePub, Docs
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In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. From the Table of Contents: - Turn and Turn About - Chips and Strips - Dots-and-Boxes - Spots and Sprouts - The Emperor and His Money - The King and the Consumer - Fox and Geese; Hare and Hounds - Lines and Squares

Wheels, Life and Other Mathematical Amusements

Wheels, Life and Other Mathematical Amusements Author : Martin Gardner
Release : 2020-10-06
Publisher : American Mathematical Soc.
ISBN : 1470463628
File Size : 46.1 MB
Format : PDF, Mobi
Download : 994
Read : 1045

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 is the original 1983 edition and contains columns published from 1970-1972. It includes three columns on the game of Life.

Mathematical Snapshots

Mathematical Snapshots Author : Hugo Steinhaus
Release : 1999-01-01
Publisher : Courier Corporation
ISBN : 9780486409146
File Size : 87.69 MB
Format : PDF, Kindle
Download : 350
Read : 647

Numerous photographs, diagrams explain mathematical phenomena in series of thought-provoking expositions. From simple puzzles to more advanced problems, topics include psychology of lottery players, arrangement of chromosomes in a human cell, new and larger prime numbers, more. Fascinating glimpse into the world of numbers. 1969 edition. 391 black-and-white illustrations.

Winning Ways for Your Mathematical Plays

Winning Ways for Your Mathematical Plays Author : Elwyn R. Berlekamp
Release : 2018-05-08
Publisher : CRC Press
ISBN : 0429945558
File Size : 20.16 MB
Format : PDF
Download : 643
Read : 801

This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.

Introducing Game Theory and its Applications

Introducing Game Theory and its Applications Author : Elliott Mendelson
Release : 2004-07-03
Publisher : CRC Press
ISBN : 9781584883005
File Size : 71.77 MB
Format : PDF, ePub, Mobi
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The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In a clear and refreshing departure from this trend, Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the author begins with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solution. Here the author presents the simplex method, based on linear programming, for solving these games and develops within his presentation the required background in linear programming. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory. This book will not only satisfy the curiosity of those whose interest in the subject was piqued by the 1994 Nobel Prize awarded to Harsanyi, Nash, and Selten. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.