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 : 34. 16 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 : 33. 61 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 : 42. 12 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.

Mathematics And Logic

Author : Mark Kac
ISBN : 9780486670850
Genre : Philosophy
File Size : 26. 37 MB
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Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

My Best Mathematical And Logic Puzzles

Author : Martin Gardner
ISBN : 9780486281520
Genre : Games
File Size : 51. 24 MB
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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 : 36. 65 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.

Fads And Fallacies In The Name Of Science

Author : Martin Gardner
ISBN : 9780486131627
Genre : Science
File Size : 80. 21 MB
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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.

The Green Book Of Mathematical Problems

Author : Kenneth Hardy
ISBN : 9780486169453
Genre : Mathematics
File Size : 48. 90 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.

Journey Into Mathematics

Author : Joseph J. Rotman
ISBN : 9780486151687
Genre : Mathematics
File Size : 67. 78 MB
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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

Linear Algebra

Author : Georgi? Evgen?evich Shilov
ISBN : 048663518X
Genre : Mathematics
File Size : 80. 65 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, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

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