How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

Jordan Ellenberg â 5 Summary

How Not to Be Wrong The Power of Mathematical Thinking

How Not to Be Wrong The Power of Mathematical Thinking Free download Ä 5 Jordan Ellenberg â 5 Summary review How Not to Be Wrong The Power of Mathematical Thinking 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 GodEllenberg 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 meaningful way How Not to Be Wrong will show you h. Enjoyable entry level book particularly recommended to any lover of applied maths who did not get prior significant exposure to the main concepts of statistics and probability calculusThe author writes in a very engaging and conversational manner and his enthusiasm for maths is uite contagious I like how he manages to compellingly convey the message that math is a creative process not a sterile procedural slogWhile the book is designed to be understood by a wide audience so it is necessarily kept at a pretty popular level which disappointed me a little bit to be honest as I was expecting something meaty from a purely mathematical perspective I must nevertheless admit that there are some subjects of the book that are brilliantly explained with lucid clarity the author s treatment of the application of statistical techniues to number theory is nothing short of fascinating for example and his explanations of the basic concept of Bayesian inference of projective geometry and of the Buffon needle problem are masterful Chapters 18 when he deals with the concept of axiomatic postulating deduction and self contradiction is a real gem where by the way his neo Platonist view of mathematics comes to fore view to which I full subscribe The final chapter is also great and it represents a passionate defence of mathematics and rationality as fundamental tools for a sceptical commonsensical balanced realistic view of reality as opposed to the false ideologically motivated certainties that permeate some circles and at which the author pokes some great fun

review How Not to Be Wrong The Power of Mathematical Thinking

How Not to Be Wrong The Power of Mathematical Thinking Free download Ä 5 Jordan Ellenberg â 5 Summary review How Not to Be Wrong The Power of Mathematical Thinking 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 uestions and many 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. This book was an excellent guide to the many ways in which our intuitions and poorly understood statistical training can lead us astray One of the areas that it covers is regression to the mean a concept which pretty much everyone needs to be aware of since a better awareness of its ubiuity would prevent a lot of errors Among other things this concept explains why a successful pilot study is likely to give worse results when rolled out why a good performance is often followed by a worse performance and vice versa why seuels are less successful and so on The book also explains why a lot of medical research is effectively inconclusive despite statistically significant results and how p values are generally misinterpreted so we should take medical research with a large grain of salt Some of the other areas the author discusses are counter intuitive One topical example is that if there are three or options then unless one option has an absolute majority in its favour then ALL of the options will have a majority opposing them which explains why politicians can never please everyone For example if the government offers three options for reducing the deficit a increase taxes b cut health funding c cut welfare funding and eual numbers of people favor each option then 66% of people will be opposed to each option so nothing the government does will please a majority This book is full of gold for anyone who hasn t encountered some of these concepts before such as the story of Abraham Wald s insight regarding how the missing bullet holes determined where bombers should be armoured during WWII or how the Laffer curve governs a lot of phenomena rather than linearity or how a zero correlation doesn t necessarily mean that there is no relationship between two variables correlation co efficient does not detect non linear relationships or the story of why scientists took so long to be certain of a link between smoking and lung cancer not because of obstruction by the tobacco companiesAlthough I am trained both as a mathematician and statistician you don t need a strong mathematical background to understand and benefit from this book Most examples reuire basic arithmetic and the author has a talent for producing crude but enlightening graphics that help to guide the reader s intuitions In addition to this book I would recommend pretty much any recent book by Gerd Gigerenzer whose work shows how scarily ignorant doctors are of how to properly interpret results of medical tests and why mass screening programs do significant harm while not significantly reducing mortality

Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg

How Not to Be Wrong The Power of Mathematical Thinking Free download Ä 5 Jordan Ellenberg â 5 Summary review How Not to Be Wrong The Power of Mathematical Thinking The Freakonomics of math a math world superstar unveils the hidden beauty and logic of the world and puts its power in our handsThe math we learn in school can seem like a dull set of rules laid down by the ancients and not to be uestioned 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 itMath 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. This is a wonderful book about mathematics and its application to everyday life Jordan Ellenberg shows that the certainty that people associate with math is often misplaced some areas of math are devoted to uncertainty and that s where things get very interestingEllenberg starts the book with a beautiful example of application of mathematics logic and thinking out of the box During World War II a group of mathematicians working for the Statistical Research Group were given a problem by some Air Force officers Fighter planes returning from missions were analyzed for bullet holes The number of bullet holes per suare foot were counted For example there were 111 bullet holes per suare foot in the vicinity of the engine 173 in the fuselage 155 in the fuel system and 18 in the rest of the plane The officers wanted to add some armor to the planes the uestion was where The planes could only support so much weight and where would additional armor be most advantageous The officers thought that since the fuselage had the greatest density of bullets that would be the logical location for armor A mathematician named Abraham Wald said exactly the opposite armor is needed where the bullet holes aren t namely around the engines Planes with lots of bullet holes in the engine did not return at allThe book discusses the issue of statistical significance Scientific experiment often use a 95% confidence threshold as an indicator of statistical significance This means that if a truly random outcome were expected a positive correlation would be seen only 5% of the time Ellenberg includes an xkcd cartoon that shows how easy it would be to perform a set of experiments that could come up with statistically significant results like Green jelly beans linked to acne at the 95% confidence levelSome of the section and chapter titles are hilarious For example in the chapter titled Are you there God It s me Bayesian Inference Ellenberg brings up a scary example of the use of big data Based on a teen age girl s purchases of unscented lotion mineral supplements and cotton balls the retail store Target began sending her coupons for baby gear because of the correct inference that she was pregnant Another great section title is One thing about God then I promise we re doneAnother interesting title is The Cat in the Hat the Cleanest man in school and the creation of the universe in which Ellenberg reviews some of the probabilistic arguments for and against the existence of god And I love the famous uote by Richard Feynman You know the most amazing thing happened to me tonight I was coming here on the way to the lecture and I came in through the parking lot And you won t believe what happened I saw a car with the license plate ARW375 Can you imagine Of all the millions of license plates in the state what was the chance that I would see that particular one tonight Amazing I also love the chapter title If Gambling is exciting you re doing it wrong Ellenberg describes how several groups capitalized on several state lotteries Due to some strange lottery rules it is was possible to reliably make a profit given enough investment of resources No illegal shenanigans the states make money no matter what you do You could make a profit by taking advantage of the rules and of the people who buy lottery tickets without a coherent strategy And I did not realize that Voltaire made his fortune by taking advantage of state lotteriesEllenberg brings up the phenomenon of Nate Silver predicting the outcome of the Obama vs Romney election Silver predicted the probability of both candidates winning state by state along with the margin of error By adding up the probable errors he estimated that he would be wrong by 283 states Critics seemed to have ignored the fact that he was not wrong by this many states in fact he correctly predicted the outcome in all 50 statesI highly recommend this book to all people who are even vaguely interested in math probability logic and the application to everyday life This is an excellent book


10 thoughts on “How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

  1. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg

    review How Not to Be Wrong The Power of Mathematical Thinking How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Here's the deal If you're a social scientist or a physical scientist me who works outside the world of controlled laboratory data you have to make sense of the world with imperfect experiments You often have limited data you can't repeat your experiments and the differences between your subject and control are sometimes

  2. says: Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg Jordan Ellenberg â 5 Summary review How Not to Be Wrong The Power of Mathematical Thinking

    review How Not to Be Wrong The Power of Mathematical Thinking Jordan Ellenberg â 5 Summary How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] I so wanted to like this bookIt's a topic I enjoy I flicked through the book and the author was saying things that I agree with Jordan clearly knows what he is talking about All the signs were goodSo why the 3 st

  3. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg review How Not to Be Wrong The Power of Mathematical Thinking

    How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Jordan Ellenberg â 5 Summary review How Not to Be Wrong The Power of Mathematical Thinking This is a wonderful book about mathematics and its application to everyday life Jordan Ellenberg shows that the

  4. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

    Jordan Ellenberg â 5 Summary Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] I math for a living I mathed both amateurly and professionally at school I math uite a bit And as a math teacher I like reading pop math books that try to do for math what many science writers have done for scien

  5. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

    review How Not to Be Wrong The Power of Mathematical Thinking How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Jordan Ellenberg â 5 Summary This book was an excellent guide to the many ways in which our intuitions and poorly understood statistical training can lead us astray One of the areas that it covers is regression to the mean a concept which pretty much everyone needs to be aware of since a better awareness of its ubiuity would prevent a lot of errors Among other things this concept explains why a successful pilot study is likely to give worse results

  6. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

    Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Jordan Ellenberg â 5 Summary Mathematics is a piece of music the deeper you allow yourself to understand its lyrics you will understand the practicality of it in real life It can be a dull and unimaginative concept that only deals with some of the already established formulas It paved a way for people to live their life hassle free It brings the practicality and scientific conclusion on any topic whether it's about calculation for about judging a pe

  7. says: How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg Jordan Ellenberg â 5 Summary

    How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg Jordan Ellenberg â 5 Summary Where language and math meet is where my head explodesThat's this bookFortunately the author has a funny down to earth style that keep

  8. says: Jordan Ellenberg â 5 Summary Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read]

    Jordan Ellenberg â 5 Summary How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] Enjoyable entry level book particularly recommended to any lover of applied maths who did not get prior significant exposure to the main concepts of statistics and probability calculusThe author writes in a very engaging

  9. says: review How Not to Be Wrong The Power of Mathematical Thinking Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg Jordan Ellenberg â 5 Summary

    How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] review How Not to Be Wrong The Power of Mathematical Thinking Makes a good case for the real world of advantages of having a mathematical understanding and how to work with math concepts The author argues that math is a very strong version of common sense reasoning which can keep a person sharp and savvy in a complex world

  10. says: review How Not to Be Wrong The Power of Mathematical Thinking Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg Jordan Ellenberg â 5 Summary

    Jordan Ellenberg â 5 Summary Read & Download Ô PDF, eBook or Kindle ePUB free â Jordan Ellenberg How Not to Be Wrong The Power of Mathematical Thinking [Pdf Read] I am one of those fortunate individuals who cherishes and loves Mathematics in all its forms But I know a lot of people for whom the Maths is a dreaded specterWhy is that so? Inevitably this is a problem that arise

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