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.

Christmaths A Creative Problem Solving Math Book

Author: Yan Kow Cheong
Publisher: MathPlus Publishing
ISBN: 9789810876555
Release Date: 2015-12-16
Genre: Christmas

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

Solve this

Author: James Stuart Tanton
Publisher: Cambridge University Press
ISBN: 0883857170
Release Date: 2001
Genre: Mathematics

This is a collection of intriguing mathematical problems and activities arising from our everyday experience.

Magnificent Mistakes in Mathematics

Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 9781616147488
Release Date: 2013-08-13
Genre: Mathematics

Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science. From the Hardcover edition.

Mathematical Physics

Author: Francis Bitter
Publisher: Courier Corporation
ISBN: 9780486435015
Release Date: 2004
Genre: Mathematics

Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.

The History of Science and Technology

Author: Bryan Bunch
Publisher: Houghton Mifflin Harcourt
ISBN:
Release Date: 2004-04-16
Genre: Science

In this age of genetic engineering and global warming, it is more important than ever to understand the history and current trends of science and technology. With so much information out there, though, it’s hard to know where to start. That’s where The History of Science and Technology — the most comprehensive and up-to-date chronology of its kind -- comes in. From the first stone tools to the first robot surgery, this easy-to-read, handy reference book offers more than seven thousand concise entries organized within ten major historical periods and categorized by subject, such as archaeology, biology, computers, food and agriculture, medicine and health, materials, and transportation. You can follow the world’s scientific and technological feats forward or backward, year by year, and subject by subject. Under 8400 BCE Construction, you will discover that the oldest known wall was built in Jericho. Jump to 1454 Communication and you will learn about Johann Gutenberg’s invention of movable type. Take an even larger leap to 2002 Computers and find out about the invention of the Earth Simulator, a Japanese supercomputer. The History of Science and Technology answers all the what, when, why, and how questions about our world’s greatest discoveries and inventions: How are bridges built? When were bifocal eyeglasses invented and by whom? What medical discovery led to the introduction of sterilization, vaccines, and antibiotics? What is the PCR (polymerase chain reaction) process, and why is it one of the pillars of the biotechnology revolution? Not only can you discover how our world came to be and how it works, but with cross-referenced entries you can also trace many intricate and exciting connections across time. Highly browsable yet richly detailed, expertly researched and indexed, The History of Science and Technology is the perfect desktop reference for both the science novice and the technologically advanced reader alike. From School Library Journal Grade 9 Up–Based on the authors' The Timetables of Science(1988; o.p.) and The Timetables of Technology(1993, both S & S),this hefty volume is divided into 10 periods, each beginning with an overview of major advances, many of which caused controversy in political, social, and religious arenas. The introductions are followed by yearly chronicles of specific accomplishments ranging from the time when hominoids used pebble tools through 2003. In all there are more than 7000 brief entries under such broad headings as "Tools," "Construction," "Astronomy," "Food & Agriculture," "Physics," and "Mathematics." Nearly 200 feature essays are interspersed, including "The Manhattan Project," "How did the Egyptians build the pyramids?," "Early surgery," "Time shifting," "The canal age," and "The size of the universe." These are best accessed from the table of contents, as the index doesn't differentiate essays from text references. Biographies appear as boxed insets with information on career highlights and a small portrait. While informative, the black-and-white photographs and illustrations found throughout are of mediocre quality. An affordable one-volume reference.–Vicki Reutter, Cazenovia High School, NY Copyright © Reed Business Information, a division of Reed Elsevier Inc. All rights reserved.

Alex im Wunderland der Zahlen

Author: Alex Bellos
Publisher: eBook Berlin Verlag
ISBN: 9783827078087
Release Date: 2015-01-19
Genre: Mathematics

Erinnern wir uns nicht alle mit Schrecken an die ratlosen Momente vor der Tafel im Matheunterricht? Mit Kurvendiskussionen und Dreisatz dürften jedenfalls nur wenige Spaß und Spannung verbinden... Bis jetzt! Denn nun wagt sich Alex Bellos in den Kaninchenbau der Mathematik: in das Reich von Geometrie und Algebra, von Wahrscheinlichkeitsrechnung, Statistik und logischen Paradoxa. Auf der anderen Seite des Erdballs, am Amazonas, zählen die Mitglieder des Indianerstammes der Munduruku nur bis fünf und halten die Vorstellung, dass dies nicht genügen solle, für reichlich lächerlich. Bei uns in Deutschland dagegen finden jährlich die Meisterschaften der besten Kopfrechner der Welt statt - 2010 wurde in Magdeburg eine elfjährige Inderin zur Nummer eins unter den "Mathleten" gekürt. Die Mathe-Weltmeisterin unter den Tieren ist hingegen die Schimpansin Ai, die Alex Bellos im japanischen Inuyama aufspürt und über deren Rechenkünste er nur staunen kann. Auch wenn er von den bahnbrechenden Überlegungen Euklids erzählt oder erklärt, warum man in Japan seine Visitenkarten keinesfalls zu Dodekaedern falten sollte - Bellos führt uns durch das wahrhaft erstaunliche Reich der Zahlen und bringt uns eine komplexe Wissenschaft spielerisch nahe. Mit seiner Mischung aus spannender Reportage, Wissenschaftsgeschichte und mathematischen Kabinettstückchen erbringt er souverän den Beweis, dass die Gleichung Mathematik = Langeweile eindeutig nicht wahr ist. Quod erat demonstrandum.

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.

More Joy of Mathematics

Author: Theoni Pappas
Publisher: Wide World Pub Tetra
ISBN: CORNELL:31924063143337
Release Date: 1991
Genre: Mathematics

Includes puzzles, games, ideas, and more, that have to do with mathematics

Principia Mathematica

Author: Alfred North Whitehead
Publisher:
ISBN: STANFORD:36105039675058
Release Date: 1984-01
Genre: Logic, Symbolic and mathematical