@Book ⚤ Magnificent Mistakes in Mathematics É eBook or E-pub free

Gave up reading it It basically lists out all the possible mistakes a student can make in the classroom, including some mistakes that they are not likely to make While there were some interesting historical facts about great mathematicians and their mistakes, the rest of the book covered mistakes that were nowhere near to magnificent. @Book ⛓ Magnificent Mistakes in Mathematics á Requiring no 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 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 D couverte in Paris However, in , with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the th 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 Magnificent Mistakes in Mathematics is a pretty good read, so I wrote a book report of it for my class In all honesty, the readers really do need to be well versed in mathematics to understand the book A lot of mistakes are well explained Occasionally, they are left to figure out why it s a mistake when it is not explained by the authors which can be annoying at times A good example of it is pg 117 about a mistake in the series where S 1 when it is supposed to be positive There is no ex Magnificent Mistakes in Mathematics is a pretty good read, so I wrote a book report of it for my class In all honesty, the readers really do need to be well versed in mathematics to understand the book A lot of mistakes are well explained Occasionally, they are left to figure out why it s a mistake when it is not explained by the authors which can be annoying at times A good example of it is pg 117 about a mistake in the series where S 1 when it is supposed to be positive There is no explanation to why Hence, I had to look it up in the Internet When I found out, it was so simple that I wished the authors already explained it in a couple of sentences Another mistake is the postage stamp showing Fermi in front of a chalkboard with an incorrect equation It s highly amusing However, the hindrance in the story proffered by the author is that they didn t even bother telling the readers whether the equation was prewritten by somebody else Greg Huber took to investigate the story behind the stamp in 2001 and found out that it was Fermi who indeed had wrote it Google No 1683 THE WRONG FORMULA At least the book has diagrams All in all, Magnificent Mistakes in Mathematics is an enjoyable read because I did not know about some of them It was generally confusing, but I did find a few interesting mistakes , such as the Monty Hall problem and the Coin Flipping Trick. 510 P8552 2013 Challenging, fascinating. This book was a disappointment that did not live up to the advance hype The hype is exemplified by the first paragraph of the blurb, which ends Veteran math educators demonstrate how some magnificent mistakes had profound consequences for our understanding of mathematics key concepts I did not find any of the mistakes leading to any worthwhile consequences The Library Journal Review quotes Harold D Shane, Mathematics, Emeritus, Baruch Coll., CUNY Many of the errors are clever and instr This book was a disappointment that did not live up to the advance hype The hype is exemplified by the first paragraph of the blurb, which ends Veteran math educators demonstrate how some magnificent mistakes had profound consequences for our understanding of mathematics key concepts I did not find any of the mistakes leading to any worthwhile consequences The Library Journal Review quotes Harold D Shane, Mathematics, Emeritus, Baruch Coll., CUNY Many of the errors are clever and instructive, some are repetitive and uninteresting only a few should be designated as magnificent VERDICT This volume could be useful to a teacher of mathematics as a source of examples that can hammer home important concepts Beyond that, it will have a limited readership The following summary of the book is also from the Shane review.510 Mathematics a compendium of mathematical errors, arranged by topic into five chapters Only the first, on errors made by eminent mathematicians, has much narrative Here, we see number theoretic conjectures that were based upon a few examples and a lot of wishful thinking In Chapter Two, the authors address errors in arithmetic based mostly upon misunderstandings of notations Chapter Three deals with algebraic errors primarily caused by inadvertent division by zero or the introduction of extraneous roots In Chapter Four we have errors in geometric proofs, mostly arising from deliberately misleading diagrams The final chapter deals with probability, showing mistakes made by confusing the concepts of conditionality, independence, and mutual exclusivity of events