Magnificent Mistakes In Mathematics

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Magnificent Mistakes in Mathematics

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Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1616147482
Total Pages : 281 pages
Book Rating : 4.6/5 (161 download)

Book Synopsis Magnificent Mistakes in Mathematics by : Alfred S. Posamentier

Download or read book Magnificent Mistakes in Mathematics written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2013-08-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Math Charmers

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Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1615921729
Total Pages : 301 pages
Book Rating : 4.6/5 (159 download)

Book Synopsis Math Charmers by : Alfred S. Posamentier

Download or read book Math Charmers written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2011-04-26 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readers are invited to have fun with math in this reader-friendly volume--theideal book for adults looking for a way to turn their kids on to an importantsubject. Illustrations throughout.

Math on Trial

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Author : Leila Schneps
Publisher : Basic Books
ISBN 13 : 0465037941
Total Pages : 272 pages
Book Rating : 4.4/5 (65 download)

Book Synopsis Math on Trial by : Leila Schneps

Download or read book Math on Trial written by Leila Schneps and published by Basic Books. This book was released on 2013-03-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

Challenging Problems in Algebra

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Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)

Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Mathematics Entertainment For The Millions

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Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811219303
Total Pages : 304 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Mathematics Entertainment For The Millions by : Alfred S Posamentier

Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-07-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Our Mathematical Universe

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Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Humble Pi

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Author : Matt Parker
Publisher : Penguin
ISBN 13 : 0593084691
Total Pages : 337 pages
Book Rating : 4.5/5 (93 download)

Book Synopsis Humble Pi by : Matt Parker

Download or read book Humble Pi written by Matt Parker and published by Penguin. This book was released on 2021-01-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

How Not to Be Wrong

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Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Brilliant Blunders

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Author : Mario Livio
Publisher : Simon and Schuster
ISBN 13 : 1439192375
Total Pages : 352 pages
Book Rating : 4.4/5 (391 download)

Book Synopsis Brilliant Blunders by : Mario Livio

Download or read book Brilliant Blunders written by Mario Livio and published by Simon and Schuster. This book was released on 2014-05-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Drawing on the lives of five great scientists -- Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle and Albert Einstein -- scientist/author Mario Livio shows how even the greatest scientists made major mistakes and how science built on these errors to achieve breakthroughs, especially into the evolution of life and the universe"--

Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12

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Author : Alfred S. Posamentier
Publisher : Corwin Press
ISBN 13 : 1452295573
Total Pages : 280 pages
Book Rating : 4.4/5 (522 download)

Book Synopsis Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by : Alfred S. Posamentier

Download or read book Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.

How to Think Like a Mathematician

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Author : Kevin Houston
Publisher : Cambridge University Press
ISBN 13 : 9781139477055
Total Pages : pages
Book Rating : 4.4/5 (77 download)

Book Synopsis How to Think Like a Mathematician by : Kevin Houston

Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

Problem Solving in Mathematics, Grades 3-6

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Author : Alfred S. Posamentier
Publisher : Corwin Press
ISBN 13 : 1412960665
Total Pages : 305 pages
Book Rating : 4.4/5 (129 download)

Book Synopsis Problem Solving in Mathematics, Grades 3-6 by : Alfred S. Posamentier

Download or read book Problem Solving in Mathematics, Grades 3-6 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2009-03-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."-Janice L. Richardson, Associate Professor and Education Coordinator, Department of MathematicsElon UniversityHelp students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students' thinking processesWith helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!

Mathematics: Its Historical Aspects, Wonders And Beyond

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Author : Arthur D Kramer
Publisher : World Scientific
ISBN 13 : 9811248591
Total Pages : 403 pages
Book Rating : 4.8/5 (112 download)

Book Synopsis Mathematics: Its Historical Aspects, Wonders And Beyond by : Arthur D Kramer

Download or read book Mathematics: Its Historical Aspects, Wonders And Beyond written by Arthur D Kramer and published by World Scientific. This book was released on 2022-06-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.

How it All Began

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Author : Dattatray B. Wagh
Publisher : University Press of America
ISBN 13 : 9780761824107
Total Pages : 264 pages
Book Rating : 4.8/5 (241 download)

Book Synopsis How it All Began by : Dattatray B. Wagh

Download or read book How it All Began written by Dattatray B. Wagh and published by University Press of America. This book was released on 2005 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: How It All Began provides an introduction to the history of various branches of mathematics, the lives of the mathematicians, and the challenges they faced which helped lead them to their mathematical discoveries.

Mathematical Curiosities

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Author : Alfred S. Posamentier
Publisher :
ISBN 13 : 1616149310
Total Pages : 384 pages
Book Rating : 4.6/5 (161 download)

Book Synopsis Mathematical Curiosities by : Alfred S. Posamentier

Download or read book Mathematical Curiosities written by Alfred S. Posamentier and published by . This book was released on 2014 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most people agree that math is important, but few would say it's fun. This book will show you that the subject you learned to hate in high school can be as entertaining as a witty remark, as engrossing as the mystery novel you can't put down--in short, fun! As veteran math educators Posamentier and Lehmann demonstrate, when you realize that doing math can be enjoyable, you open a door into a world of unexpected insights while learning an important skill. The authors illustrate the point with many easily understandable examples. One of these is what mathematicians call the "Ruth-Aaron pair" (714 and 715), named after the respective career home runs of Babe Ruth and Hank Aaron. These two consecutive integers contain a host of interesting features, one of which is that their prime factors when added together have the same sum. The authors also explore the unusual aspects of such numbers as 11 and 18, which have intriguing properties usually overlooked by standard math curriculums. And to make you a better all-around problem solver, a variety of problems is presented that appear simple but have surprisingly clever solutions. If math has frustrated you over the years, this delightful approach will teach you many things you thought were beyond your reach, while conveying the key message that math can and should be anything but boring.

How to Cut a Cake

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Author : Ian Stewart
Publisher : OUP Oxford
ISBN 13 : 0191500712
Total Pages : 256 pages
Book Rating : 4.1/5 (915 download)

Book Synopsis How to Cut a Cake by : Ian Stewart

Download or read book How to Cut a Cake written by Ian Stewart and published by OUP Oxford. This book was released on 2006-10-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome back to Ian Stewart's magical world of mathematics! This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each quirky tale presents a fascinating mathematical puzzle — challenging, fun, and also introducing the reader to a significant mathematical problem in an engaging and witty way.

Principia Mathematica

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Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: