Mathematical Fallacies and Paradoxes

Author: Bryan Bunch

Publisher: Courier Corporation

ISBN: 0486137937

Category: Mathematics

Page: 240

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Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.

Paradoxes in Mathematics

Author: Stanley J. Farlow

Publisher: Courier Corporation

ISBN: 048649716X

Category: Mathematics

Page: 192

View: 1381

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Compiled by a prominent educator and author, this volume presents an intriguing mix of mathematical paradoxes — phenomena with surprising outcomes that can be resolved mathematically. Students and puzzle enthusiasts will get plenty of enjoyment mixed with a bit of painless mathematical instruction from 30 conundrums, including The Birthday Paradox, Aristotle's Magic Wheel, and A Greek Tragedy.

The Green Book of Mathematical Problems

Author: Kenneth Hardy,Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 0486169456

Category: Mathematics

Page: 184

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Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

Fallacies in Mathematics

Author: E. A. Maxwell

Publisher: Cambridge University Press

ISBN: 9780521026406

Category: Mathematics

Page: 95

View: 606

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"Enjoyment as well as enlightenment is provided by trying to detect the fallacies, or at least by reading the solutions given by the author of this lovely little work." Science

My Best Mathematical and Logic Puzzles

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486320324

Category: Games & Activities

Page: 96

View: 7464

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The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions.

Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 9418

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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Fads and Fallacies in the Name of Science

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486131629

Category: Science

Page: 384

View: 2654

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Fair, witty appraisal of cranks, quacks, and quackeries of science and pseudoscience: hollow earth, Velikovsky, orgone energy, Dianetics, flying saucers, Bridey Murphy, food and medical fads, and much more.

Mathematics, Magic and Mystery

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486801179

Category: Games & Activities

Page: 208

View: 4685

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Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks. 135 illustrations.

Linear Algebra

Author: Georgi? Evgen?evich Shilov

Publisher: Courier Corporation

ISBN: 9780486635187

Category: Mathematics

Page: 387

View: 8831

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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Entertaining Mathematical Puzzles

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 9780486252117

Category: Juvenile Nonfiction

Page: 112

View: 6048

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Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.

Discovering Modern Set Theory: The basics

Author: Winfried Just,Martin Weese

Publisher: American Mathematical Soc.

ISBN: 0821802666

Category: Mathematics

Page: 210

View: 7488

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This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.

Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi

Martin Gardner's First Book of Mathematical Puzzles and Games

Author: Martin Gardner

Publisher: Cambridge University Press

ISBN: 0521756154

Category: Mathematics

Page: 193

View: 4670

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This book of the earliest of Gardner's enormously popular Scientific American columns and puzzles continues to challenge and fascinate readers. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries.

The Pea and the Sun

A Mathematical Paradox

Author: Leonard M. Wapner

Publisher: A K Peters/CRC Press

ISBN: 9781568813271

Category: Mathematics

Page: 232

View: 1303

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Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

A Source Book in Mathematics

Author: David Eugene Smith

Publisher: Courier Corporation

ISBN: 0486158292

Category: Mathematics

Page: 736

View: 7840

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The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.

Relativity Simply Explained

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486315614

Category: Science

Page: 192

View: 7595

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One of the subject's clearest, most entertaining introductions offers lucid explanations of special and general theories of relativity, gravity, and spacetime, models of the universe, and more. 100 illustrations.

Conned Again, Watson!

Cautionary Tales of Logic, Maths and Probability

Author: Colin Bruce

Publisher: N.A

ISBN: 9780099428572

Category: Detective and mystery stories, American

Page: 290

View: 7954

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We all lose time and money because of bad decisions, perfectly happy in the illusion that our common sense is choosing the right path for us. In Conned Again, Watson! Sherlock Holmes uses his vast knowledge solve crimes and protect the innocent in a series of cautionary tales of greedy gamblers, reckless businessmen and ruthless conmen. From 'The Execution of Andrews' to 'The Case of the Gambling Nobleman' and 'The Case of the Paranoid Student', there has never been a more exciting way to learn when to take a calculated risk - and how to spot a scam. In this illuminating collection of twelve new Sherlock Holmes stories, challenges of logic, probability, statistics, game theory and more are illustrated. A thought-provoking introduction to maths relevant to everyday life, this book will change the way you look at making decisions.


Mathematical Fallacies, Flaws, and Flimflam

Author: Edward Barbeau

Publisher: MAA

ISBN: 9780883855294

Category: Mathematics

Page: 167

View: 6908

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Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us a lot and can present a real challenge to straighten out. This book collects together a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves. Each of these items is carefully analysed and the source of the error is exposed. All serious students of mathematics will find this book both enlightening and entertaining.