mathematical fallacies and paradoxes dover books on mathematics

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Mathematical Fallacies And Paradoxes

Author : Bryan Bunch
ISBN : 9780486137933
Genre : Mathematics
File Size : 59. 47 MB
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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
ISBN : 9780486497167
Genre : Mathematics
File Size : 24. 32 MB
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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.

Mathematical Fallacies Flaws And Flimflam

Author : Edward Barbeau
ISBN : 0883855291
Genre : Mathematics
File Size : 31. 40 MB
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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.

My Best Mathematical And Logic Puzzles

Author : Martin Gardner
ISBN : 9780486281520
Genre : Games
File Size : 51. 15 MB
Format : PDF
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The noted expert and longtime author of Scientific American's Mathematical Games column selects 70 of his favorite "short" puzzles. Enthusiasts can challenge their skills with such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, Bronx vs. Brooklyn, and dozens more involving logic and basic math. Complete solutions included.

Mathematical Logic

Author : Stephen Cole Kleene
ISBN : 9780486317076
Genre : Mathematics
File Size : 81. 81 MB
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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.

The Green Book Of Mathematical Problems

Author : Kenneth Hardy
ISBN : 9780486169453
Genre : Mathematics
File Size : 37. 60 MB
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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.

Mathematics Magic And Mystery

Author : Martin Gardner
ISBN : 9780486801179
Genre : Games & Activities
File Size : 55. 33 MB
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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 E. Shilov
ISBN : 9780486135045
Genre : Mathematics
File Size : 40. 57 MB
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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, and more.

Christmaths A Creative Problem Solving Math Book

Author : Yan Kow Cheong
ISBN : 9789810876555
Genre : Christmas
File Size : 63. 65 MB
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A recreational-and-problem-solving math book, CHRISTmaths: A Creative Problem Solving Math Book attempts to bring together the joy (or spirit) of Christmas and the spirit (or joy) of mathematics. Looking at topics linking Mathematics and Christmas—what the queen of the sciences and the king of the public holidays have in common—CHRISTmaths will not only appeal to a Christmas or Christian audience, but also to any problem solvers who enjoy mathematics recreationally. CHRISTmaths should appeal to • creative problem solvers who are bored by drill-and-kill math titles, and who desire to get an intellectual kick out of solving non-routine questions; • mathletes who long for some creative mathematical problem solving to tickle their mathematical bones. CHRISTmaths hopes to give readers the opportunity to experience the Ah, Aha! and Ha Ha of Mathematics. Contents Preface Biodata of 25 B.C. and A.D. Are You Christmas-Literate? The 12 Puzzles of Christmas Santa’s Itinerary 12 Daffynitions of CHRISTMAS A CHRISTMAS Spell Guesstimation on Christmas Day 7 Beautiful Xmas Series 12 Challenges @ Christmastime A Mathematician’s Musings on Xmas Day Mathematical Graphiti I Xmas Philamath 12 Myths about Christ and Christmas Mathematical Graphiti II Mathematical Graphiti III 25 No-Frills Christmas Crackers Did You Know…. The Mathematics of Christmas 25 Mathematical Quickies & Trickies Was Pythagoras a pre-Christian Christian? A Formula for Christmas Day Q&A about Christmas Clausophobia and the Rest Mathematical Graphiti III Mathematical Graphiti IV Number of Zeros in 1 × 2 × 3 ×⋯× 24 × 25 25 Math Things You Can Do on Christmas 1 × 2 × 3 ×⋯× (n − 1) × n ends in 25 zeros Taking Up Your Cross Mathematicians Christened Number of Digits in 2525 Christmas Tangrams CHRISTMAS By Numbers What day Is Christmas in 2025? The Mathematical Fathers The Answer Is Not 25 Christmas Countdown A Christmas Potpourri CHRISTMAS Alphametics Mathematical Graphiti IV Celebrate Father Christmas Week 25 Illegal Things You May Want to Do on Xmas The Twelve Days of Christmas A Green Christmas Answers/Hints/Solutions Bibliography & References Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions Audiences: Suitable for Grades 5-10

Hexaflexagons Probability Paradoxes And The Tower Of Hanoi

Author : Martin Gardner
ISBN : 9780521756150
Genre : Mathematics
File Size : 64. 50 MB
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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.

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