Mathematical Fallacies and Paradoxes

Author: Bryan Bunch
Publisher: Courier Corporation
ISBN: 9780486137933
Release Date: 2012-10-16
Genre: Mathematics

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: 9780486497167
Release Date: 2014-04-23
Genre: Mathematics

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
Publisher: MAA
ISBN: 0883855291
Release Date: 2000-06-15
Genre: Mathematics

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
Publisher: Courier Corporation
ISBN: 9780486281520
Release Date: 1994-11
Genre: Games

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
Publisher: Courier Corporation
ISBN: 9780486317076
Release Date: 2013-04-22
Genre: Mathematics

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: 9780486131627
Release Date: 2012-05-04
Genre: Science

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: 9780486801179
Release Date: 2014-12-02
Genre: Games & Activities

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.

The Green Book of Mathematical Problems

Author: Kenneth Hardy
Publisher: Courier Corporation
ISBN: 9780486169453
Release Date: 2013-11-26
Genre: Mathematics

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.

Entertaining Mathematical Puzzles

Author: Martin Gardner
Publisher: Courier Corporation
ISBN: 0486252116
Release Date: 1986
Genre: Juvenile Nonfiction

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.

Journey into Mathematics

Author: Joseph J. Rotman
Publisher: Courier Corporation
ISBN: 9780486151687
Release Date: 2013-01-18
Genre: Mathematics

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.

Lapses in Mathematical Reasoning

Author: V. M. Bradis
Publisher: Courier Dover Publications
ISBN: 9780486816579
Release Date: 2016-10-28
Genre: Mathematics

Designed as a method for teaching correct mathematical thinking to high school students, this book contains a brilliantly constructed series of what the authors call "lapses," erroneous statements that are part of a larger mathematical argument. These lapses lead to sophism or mathematical absurdities. The ingenious idea behind this technique is to lead the student deliberately toward a clearly false conclusion. The teacher and student then go back and analyze the lapse as a way to correct the problem. The authors begin by focusing on exercises in refuting erroneous mathematical arguments and their classification. The remaining chapters discuss examples of false arguments in arithmetic, algebra, geometry, trigonometry, and approximate computations. Ideally, students will come to the correct insights and conclusions on their own; however, each argument is followed by a detailed analysis of the false reasoning. Stimulating and unique, this book is an intriguing and enjoyable way to teach students critical mathematical reasoning skills.

Linear Algebra

Author: Georgi? Evgen?evich Shilov
Publisher: Courier Corporation
ISBN: 048663518X
Release Date: 1977
Genre: Mathematics

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.

Hexaflexagons Probability Paradoxes and the Tower of Hanoi

Author: Martin Gardner
Publisher: Cambridge University Press
ISBN: 9780521756150
Release Date: 2008-09-01
Genre: Mathematics

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.

Author: M.·伽德纳 (美)
Publisher:
ISBN: 7030203372
Release Date: 2008
Genre: Logic puzzles

本书包括逻辑、数、几何学、概率、统计、时间等内容。

Relativity Simply Explained

Author: Martin Gardner
Publisher: Courier Corporation
ISBN: 9780486315614
Release Date: 2012-12-19
Genre: Science

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.