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MATHEMATICS BOOKS
Posted in Mathematics (Friday, July 4, 2008)
Written by Princeton Review. By Princeton Review.
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5 comments about Cracking the SAT Math 1 and 2 Subject Tests, 2007-2008 Edition (College Test Prep).
- Pretty good and straightforward review to prepare you for the SAT II Math. I started using this as a study guide a week before the test, and it helped very much. I'm currently taking Calculus, so Precal (most of Level 2 Math) and other subjects were forgotten. This book helped me remember and review many mathematical concepts, such as the arithmetic/geometric sequences, sum of sequences, and some handy equations.
If you're taking the Math SAT, it's assumed that you're almost or already done with precalculus classes. This book is meant as a REVIEW, to refresh your memories on concepts you have already learned.
There are some mistakes in the book, but overall, they're negligible.
I took Math Level 2 and the practice test questions in this book are very similar to the actual SAT test questions. The Math Level 1 practice tests problems are good for practice.
I definitely recommend this book. If you aren't a procrastinator like me (who started studying 1 week before), I also recommend the Baron's review too. That review book is a lot harder and detailed, but if you start studying a month before the actual test, Baron's the way to go.
- I just took the SAT Math 1 on Saturday and this book helped me so much! I had about 3 other review book and this one was by far the best. If your taking a subject test I recommend to get two different reviews because some have info that others lack.
- I found a lot of errors in this book which led me to find out the true answers myself. Like in one drill question, you were suppose to use the volume of a cylinder, 1/3(Pie)(radius sq.'ed)(height). However, the explantion in the book to the answer forgot to use the (1/3)..
Also, the drill answer pages don't correspond to the correct listed answer page.. Which makes it hard to find the answers for the drills.
- This book is worthless for the Math Level 2. Doesn't cover everything in detail, doesn't explain most of the stuff - and the level is too easy.
I mean, why would anyone pay $20 for this? If you want a GOOD score on the IIC, get something like Barron's or the "15 Realistic Tests" one. I admit they're way more difficult than the actual test standard, but you'll need it if you want to get anything above 750 - which isn't that much in the Level 2, as more than 10% of the test takers get a perfect score of 800.
If you just want to see how much you get on a realistic SAT test, get the official SAT Subject Test Study Guide or the official SAT Math Study Guide, the CollegeBoard ones.
- Great math review book. Remember, it's REVIEW. The book expects you to have seen all these material in class before, but it's teaching it in a way and only little bits of parts of it: ALL you need to get a 700+ on the Math 2C/Math 1C SAT II tests. It's not saturated IN-DEPTH, so you probably WON'T get a 800 (85 percentile) with this book ALONE. Expect a 700+ if you review the whole book and the practice tests at the end. I got 710 and reviewed the book every day for 2 weeks, and took the practice tests, on SAT math 2. Make sure you buy Barron's if you want a perfect score , because it covers the material more in-depth; this is just a review!
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Posted in Mathematics (Friday, July 4, 2008)
Written by Richard W. Fisher. By Math Essentials.
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5 comments about Mastering Essential Math Skills: 20 Minutes a Day to Success, Book 2: Middle Grades/High School.
- This text is so well put together that teaching math seqentially is now a breeze! I wish I'd found this book a couple of years ago. Highly recommend it to those who homeschool or need to brush up on thier own math skills. No need to have a math degree to teach math. Will definitely be purchasing the next book in the series.
- It's nothing mindblowing, but for math you often need structure and practice more than anything else. A good, systematic way to build your child's math skills over the summer, or even during the school year.
- Math book very good. Has the answers in the back so you can see if you have the right answer. It also shows examples so you can see how to workout a problem. Once you review problems it doesn't stop the first part is always a review of what you did last. So it keeps you practiceing over and over again.
- This is a very helpful book for keeping your child or student up to date with daily review work. Each day builds on the previous days work. It is just enough work to keep concepts fresh. Could also be used over the summer to keep kids on track. Great product.
- I am happy with this math workbook. My son likes that he only has to dedicate a small amount of time to math daily over the summer break and usually there is no argument. I recommend this book to all who want their children get ready for September!
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Posted in Mathematics (Friday, July 4, 2008)
Written by Mary Jane Sterling. By For Dummies.
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5 comments about Algebra Workbook For Dummies.
- The workbook has been a big help!!! It's easy to following and progresses smoothly. I would recommend it to anyone looking to brush up on their algebra skills.
- About 180 pages into it and I'm actually having fun!
The example problems are great but the solutions at the end of the chapter are sometimes a bit confusing (but they clear themselves up if you chew the problem a little and remember what you're supposed to be learning in that given chapter).
I've only found one typo in an answer so far (signs reversed).
Learning a few things I never heard of before for example Pascal's Triangle.
Skip around and focus on the weak areas. I'd buy it again.
Bought it for a review before returning to college after a seven year break from school (if you can really call the military a break).
- I recently ordered the Algebra for Dummies, as well as the workbook to go with it, for a friend who is trying to obtain a position with a company who is looking for someone with math skills in algebra.
He is working out of state, so I had the books shipped to his address. Upon asking him if he thought these books would help him, he said they definitely would. His comment was that they were easy to understand, and although it has been 20+ years since he was in school, he thought he had a good chance at getting the job.
Anything that I have ever ordered from Amazon has always come quickly, been the correct item, and I will certainly keep ordering things from them.
- Material is perfect for becoming reacquainted with algebra. New titles, terms and methods for solutions of algebraic equations are presented and discussed fully and with a minimum of words. The Algebra II Workbook is necessary if you have been a long time absent from algebra. The material came on time and in perfect condition.
I have never been disappointed in all my purchases from Amazon and their sellers.
- It was a good choice, to help my nephew with his algbra.
His in 8th grade and it makes algbra easier to understand
HECK i may even use it.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Mark Ryan. By For Dummies.
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5 comments about Calculus for Dummies.
- I love this book. When I am completely lost in my class I pull it out and it gives me ideas on how to remember things. To this day I still use their integration by parts box.
- Wow, it's been a long time since I've been in a math class, and to say that I am rusty is a gross understatement. So it was with great relief that I discovered that not only can I follow this book, I actually enjoyed it. I even laughed out loud a few times. Mark's humor made all the difference, and when the going got a little tough, the lively writing kept me engaged.
Mark's experience as a teacher is evident throughout-- he knows where the pitfalls are and addresses them before the reader trips. I would describe myself as a slightly above-average math student, and calculus was not an intuitively easy topic for me. There were parts of the book that I had to read several times and then digest. Fortunately, I was being taught by a great teacher. I could well imagine learning calculus from a lessor instructor and getting totally lost.
Soon my daughter will be taking calculus in school, and I'm going to make sure that she reads this book. Congratulations Mark on writing the definitive book for "dummies," scholars and everyone in between.
- I used this book a year ago for my Calculus BC class. I was pretty much clueless and felt hopeless, but Dummies helped me understand basic and fundamental concepts of Calculus. I finally "understood" what limits were and derivatives instead of just calculating them. But this review isn't enough for a BC class because there aren't enough examples, practice questions or sujbect depth. But overall, it's good to understand basics of Calculus. I used this along with another Calculus book and my textbook (which I rarely used) and my Calculus class was more tolerable. I ended up getting a 5 on Calculus BC and a 4 on Calculus AB section. I will give some due, not all, to this book for helping me get a 5 on the BC exam and making my transition to a Calculus class easier.
- I've always had issues truly retaining mathematical concepts. So naturally, when faced with having to take college calculus, I had mild reservations.
I purchased this book in January, before the spring semester started, and began tearing through the book, studying everything I could. As the semester progressed, all that my teacher was saying was crystal clear, and coincided perfectly with what this book was teaching.
By the end of the semester, I had not only dealt with calculus, but I actually appreciated the usefulness of it in everyday applications. This book is an absolute must for those who are timid when it comes to math. Want proof of it's success? I finished the class with a 97.5% - an A+!
- I taught my first calculus class over a quarter of a century ago. As always seems to be the case, the thought of having to take calculus had the members of the class nervous. To most it is a daunting task, yet the fundamentals of what is covered in differential and integral calculus are intuitive. Concepts such as continuity, limits, differentiability as the slope of the tangent line and integration as the limit of a sum are all ideas well within the grasp of nearly everyone.
The devil and fear is of course in the details, how to take these principles and apply them to problems. There have been many times when I have had a student tell me, " I understand the fundamental concept, that is easy to follow." However, when it comes time to do something like an epsilon-delta proof of continuity or understand the proof of the fundamental theorem of calculus, the student will say, "I don't know what to do."
In my opinion, that is what will happen to most of the people with no calculus background who read this book. They will understand the fundamental principles and hit a wall when they try to apply them. Knowledge of the fundamentals of precalculus is a necessity, without that, it is unlikely that even the intuitive concepts will make sense.
To paraphrase Euclid, "There is no easy road to calculus." It requires a great deal of thought, study and the acquisition of mathematical skill. Many people, myself included, believe that you really don't begin to understand it until a year after you complete the calculus courses.
Therefore, in my opinion, very few beginners will be able to acquire a great deal of calculus knowledge from this book. Even though I concede that the coverage is broad and the approach is at an understandable level. Learning calculus is a mind-broadening experience, yet it is no simple task. Memorization is pointless; the light bulbs must eventually go off in your mind. I don't see how reading any book without exercises can make that happen. I consider it superb as a supplemental book, but nearly worthless as a primary text.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Arthur Benjamin and Michael Shermer. By Three Rivers Press.
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5 comments about Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks.
- I am an elementary school teacher and I highly recommend this book for anyone who has learned their basic math concepts. It is fantastic! The authors provide new insights into the mathmatical world by making the reader feel and become mathamagicians. It uncovers a world of fun within our world of numbers. It is for young and old alike. No one is too set in their ways to find the magic within its pages:)
- I have always been good at math, but I still found a lot of the tricks in this book new and handy. Most of these tricks don't require that you are good at math - my husband was even able to do them!
- I'm neither interested in squaring three-digit numbers in my head nor in doing mathematical magic. I'm only interested in practical mental math. I did buy this book for chapter 5; *** Good Enough; The Art of 'Guesstimation' ***. I've been doing guesstimations for many years intuitively, not very structured. This fine chapter teaches beginners the art of guesstimation while experts can go back to the basics and hone their skills while they might discover something new ... I did do so with approximating years needed for trippling an investment given interest rates of X% p.a.
- This book is very well written. I have always done well in math classes. I never really enjoyed mathematics though. This book makes what seems impossible possible. If you ever wanted to be able to square a number like 72 in your head in seconds this is the book for you.
- I recently purchased this book after a stranger in a bookstore suggested it. I'm already impressed. There are quite a few 'speed math' books out there, but this one is easily accessible to everyone and is intended to help with everyday life. I'm fairly advanced in college-level math and I intuitively knew some of the suggestions in the book, but it has helped me brush up, learn new things, and most of all learn how to do it BETTER.
I highly recommend this book to students because it is a tremendous help to know how to perform quick math in your head. Even if you have a calculator, just knowing what to expect for the outcome helps you perform faster and serves as a double-check when you need it. And knowing how to do math quickly is essential on a standardized test like the SAT. Even if you know how to do all the problems correctly, the time limit can cripple you--so do yourself a favor and get this book.
Some of the topics covered in this book include 'basic' to 'advanced' multiplication, mental division, guesstimation, calculating the day of the week, and memorizing numbers through mnemonics.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Lawrence S. Leff. By Barron's Educational Series.
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5 comments about Math Workbook for the New SAT (Barron's Math Workbook for the Sat I)3rd Edition.
- As a peer studying for the SAT i recommend this book to those that have reviewed the official SAT workbook, kaplan, and also princeton review. this book show problems that are extremely difficult compared to the regular test but it is a good book to review if your planning to score at the 2100-2400 range.
- Harder tham the usual test but defintely works.
- I'm an SAT tutor that actually takes the SAT three times a year. This is a great book and I wish all my students had the discipline to use it. The complaint from the other SAT tutor is not relevant to the objective of raising your score (which if you are scoring in the 500's can easily go up 100 points if you use this book in conjunction with the eight practice tests in the College Board Official Study Guide). This book remediates your math skill weaknesses which is the first step in preparing for the SAT math section. Once completed, (just the sections you are weak or rusty in)then dive into the eight practice tests in the College Board book which combine math reasoning with math skill. My other favorite resource for my students is Acing the New SAT I Math by Greenhall Publishing---an excellent resource to use by itself or in combination with Barron's. It's actually more comprehensive than Barron's and ideal for the student that is looking for a challenge and a score over 650. I would do the Barron's book first and then the Acting the New SAT I Math for each math section. Have fun!
- I am a math tutor who has used this book to help several kids study for the SAT. It is a good review of the material covered on the SAT. It has a full section explaining each type of question followed by plenty of practice problems ranging from easy to very difficult. I have not found many mistakes in the book. There are answers and explanations for all the problems in the book making it easy for students to self teach. There are also practice tests which I feel are a great deal harder than the actual SAT. The Appendix to the book is an excellent math review listing all the math concepts needed very consisely allowing a quick review the night before the test.
- I used this review book about two weeks before an SAT. If I had more time, I am sure it would have made me do even better on the test. This fully prepares you for any math questions that may show up on the exam. Barron's really is the best review book company.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Douglas R. Hofstadter. By Basic Books.
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5 comments about Godel, Escher, Bach: An Eternal Golden Braid.
- After studying Douglas R. Hofstader's brilliant book, I discovered an error in the proof of Godel's first incompleteness theorem that invalidates the proof. The same error is in Newman & Nagel's book Godel's Proof.
The error occurs on page 447. The incorrect statement is, "a' is the arithmoquinification of u." The statement should read: a' is the arithmoquinification of the numeric value of the Godel number u. The term u represents the Godel number of a specific formula, and the word arithmoquinification is a portmanteau word coined by the author.
Godel's theorem is derived by arithmoquining a formula that Hofstader calls the "uncle" formula. On page 447, he writes,"Now all we need to do
is-arithmoquine this very uncle! What this entails is 'booting out' all the free variables-of which there is only one,namely a"-and putting in the
numeral for u everywhere. This gives us: ~Ea:Ea': where the number of S's equals the numeral for u." That is Hofstader's version of Godel's theorem or G. On page 447
he offers this interpretation of the theorem,"There do not exist numbers a
& a' that both(1)they form a TNT-proof-pair, and(2)a' is the arithmoquinification of u." But,as I have pointed out Godel's theorem does
not declare part(2)of his interpretation. Instead, the correct interpretation of part(2)is, a' is the arithmoquinification of the numeral of the Godel number u. The numeral of the Godel number u cannot be
arithmoquined because it is not a formula and therefore has neither a Godel number nor a free variable.
This invalidates the proof because we no longer have a true statement: a'
is the arithmoquinification of u that cannot be proven. Instead we have a
false statement that cannot be proven. For more info & essays on this subject,please go to www.jimssciencepage.info
- I have not completed this book, and I am not sure you can ever say that you are complete with a book of this magnitude, however, it will certainly be a book I will review again and again. If you want to be challenged intellectually, this book would be the ticket. I enjoy a good challenge, and although it isn't a 'fun' read, it is valuable book to have in your personal library if you are interested in a paradigm shift in your reality.
- I realized after recommending this to a friend that I've never reviewed it. Strange, since it's one of the dozen most important books I've ever read in my nearly half-century on this planet. I first read it over 20 years ago, and continue to refer to its literate and well-crafted pages frequently.
This book is Doug Hofstadter's religion. Since it's so good and so right about so many things, people run off into strange places with Hofstadter's words, sort of like the Bible. GEB (the shorthand name for the book) is, for me, a meta-level examination of what it is to be human. Some people see the shadows of the gods in there. I'm not trying to be melodramatic, nor do I believe I'm overstating the value of this book.
Hofstadter takes the reader along on a Carrollian trip using metaphor and fable. Then he employs pedagogical, practical exercises, and good old-fashion lecture. Rinse and repeat, again and again. When he tells you to get pen and paper, please do it. Take your time with this book. I tried and failed on my first attempt. When I finally settled into it, it took me three months to joyously work my way through it. Take a year if you need it.
Reception, analysis, recursion, reapplication. Hofstadter examines the basic evidences of intelligence, forms sensible, fundamental meta-rules, and builds from there. This book - as others have said - is hard work, like climbing a mountain. But at the end of the endeavor, the view is dazzling.
- The author complains in the new preface that a vast majority of the reviewers, including those who have rated this book very highly, seem to have no idea of what he has been trying to say. In my opinion, this is a self-indictment that does not leave much for others to say. If the author cannot get his ideas across in 700 pages, perhaps people should not waste their time on him. I have learnt it the hard way: after buying this book, five years ago, on high recommendations of friends, only to find it so boring and confused that I could never go beyond a few pages even though I gave it innumerable attempts.
- This is one of my favourite book of all time. I first read it twenty years ago as an undergraduate on my computer science degree. The nice thing about getting older, but still remaining young, is that you can go back and revistit master works - and lets make no bones about it, this is a master work. As such, it requires time, effort and mastery of the ideas.
This is not a book that you can just pick up and read in a couple of days. Of course you can delve into it and loose yourself for a few hours, but to obtain mastery will take serious time and effort. Using Howard Gardener's terminology, Hofstadter synthesises across the domains of music, maths and art. This is no mean feat.
Buy it, only if you have the time for it. Treasure it, enjot it and love it as much as I do.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Kaplan. By Kaplan Publishing.
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5 comments about Kaplan GRE Math Workbook, Sixth Edition.
- The explanations are good as far as they go, but they do not explain some of the harder math that shows up on the GRE like permutations and more advanced algebra. I took the GRE today and, although I scored 800 on both sections, the math definitely felt more difficult than the 'advanced' problems I had looked at in this book last night. I was shocked when I got my score and I guess I was lucky, but if you want to be sure of doing really well, I would look for more challenging practice and in depth review than this book provides.
- This book is just ok as far as a review of math goes. I haven't touched this kind of math in ages; therefore, I am relearning the material. This book does not go far enough into the explanations of the answers. It just simply gives the answers without explaining how the problem got solved. That is not helpful if you are not getting the correct answers and you feel you are doing everything right. I would not suggest this book to anyone for that reason, unless you have a solid grasp on the material and just need some practice.
- I thought this would be a complete math review but it doesn't even go through the probabilities and the questions are way easier than the actual tests. If you have no knowledge of the math part it would work but if you are looking for high math score this is definitely not enough.
- Don't waste your time and money buying this book! It wasn't helpful at all! I found that Baaron's Math part is really comprehensive and educative. This book is very easy and has nothing to do with real GRE exam. I would also recommend to subscribe for some internet quiz to do better on actual test. Good luck everyone!
- If you're looking for a book to prep you for the quantitative section of the GRE, this workbook by Kaplan is not a comprehensive prep book. I personally found Barron's to be the best guide in helping me with the Math section of the GRE. I bought this book thinking it would a good practice book, but I found it to be average and the practice questions are much easier than the questions I found on the actual GRE.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Edward R. Tufte. By Graphics Press.
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5 comments about The Visual Display of Quantitative Information, 2nd edition.
- Everybody should read a book like "The Visual Display of Quantitative Information" and I do not mean the professionals in the field but really everybody. Tufte really opens your mind and makes you aware of the possibly malevolent or just misleading representations of data we are faced with every day on magazines, newspapers, TV and the web.
- This is Tufte's best book in my opinion, maybe because this was his first book I bought. I use this book weekly. I learned many good lessons from Tufte.
- I own all of Edward Tufte's books, and regularly order his booklets for my MBA students. The reason is simple: to make good decisions, and to help others make good decisions, one must convey data as information and not simply as numbers, words, or even pictures. Business periodicals regularly violate the admonitions we learned in our introductory statistics courses, including failing to use zero as the bottom of any scale (these periodicals don't use zero in order to exaggerate changes). The reason that intelligent people convey data inappropriately is either to deliberately distort it, or because they've failed to read Tufte's books.
Once you've purchased this first book by Tufte, you will never look at charts or other graphical displays without a jaundiced eye. You will also will begin to be more honest in how you convey information to others. You will make better decisions, and you will raise the standard for other communicators and decision makers. Life and death decisions do get made on the basis of data, and not just in the sciences and medicine. Buy this book and you will have a very tough time putting it down.
Aneil Mishra
[...]
- Mr. Tufte's book is like nothing I ever read before. At first I was put off by his uber self-confidence, but as I read the book further, I realized that the self-confidence was not out of place.
In an entertaining way, with splendid examples and splendid anti-examples, this book gets to the core of presenting honest and dense data and eliminating all pretense. Wait 'til you grasp the concept of "Small Multiples" and just as importantly, when not to use a graph.
Before I was finished the book, I revamped a couple of my charts and upgraded one to showing multiple variables across multiple years using "Small Multiples".
- Nutshell review - This is an excellent book on chart design and the effective presentation of information. Beautifully illustrated with in-depth insight and research.
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Posted in Mathematics (Friday, July 4, 2008)
Written by Leonard Mlodinow. By Pantheon.
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5 comments about The Drunkard's Walk: How Randomness Rules Our Lives.
- If you're not versed in probability this is an excellent book to introduce you to the history and importance of probability in daily life. Its an easy and interesting read. Much of the book however is dedicated to explaining mathematical basics & history. If you already know what a normal distribution is, this book falls a little short in really linking randomness and how we perceive success. Only one or two chapters at the end are devoted to this.
- 'The Drunkard's Walk' includes a history of probability and statistics and relates the subject to modern-day life. In some respects, it is disappointing not to see any equations for combinations or probabilities, even in an appendix [...]. What is included is an excellent background in the logic behind setting up probabilities such as Bayes' theorem applied to medical statistics, when the likelihood of a disease is small.
Mlodinow's writing is entertaining and well suited for readers with a formal background in statistics and probability.
- The Drunkards walk is a great book that explains most things about statistics that most people never learned or ignore .It gets a little technical sometimes but overall has lots of insightful information .Decisions makers just need to pay more attention .
- A famous French mathematician of the eighteenth century, Jean Le Rond d'Alembert, wrote several books on probability. In one, he analyzed what happens if you toss two coins. You can either get zero heads, or one, or two, he reasoned, so the chance of any of these three possibilities happening was one in three. He can easily be shown to be wrong, but he wasn't the first or last mathematician to be flummoxed by probability, so what hope do the rest of us have? The problem is even more daunting - probability, chance, chaos, or randomness has extraordinary power within many human endeavors, and none of us has intuitive capacity to calculate all odds correctly. In _The Drunkard's Walk: How Randomness Rules Our Lives_ (Pantheon), Leonard Mlodinow reviews the history of how mathematicians came to an understanding of calculating probability, but he also shows how little any of us know about the actual odds. Wine ratings, CEO performance evaluations, movie studio grosses, home runs, and more are all under the encompassing sway of randomness, and while we are eager to attribute success (or failure) to the actions of humans in their endeavors, results are often not a good measurement for judging the competence of human effort.
It was really in the sixteenth century that probability got mathematized, and of course it was by a mathematician who liked to gamble. Gerolamo Cardano wrote the _Book on Games of Chance_ which showed how one could rationally analyze all the ways the dice could fall (people were using cube dice by then, not bones) and thus what numbers were more likely. Cardano would have shown d'Alembert where his error lay. Tossing two coins gives a "sample space" of head-head, head-tail, tail-head, and tail-tail, so there are four equally probable outcomes, not three. It's the same sort of calculation for figuring odds on girls and boys. There are subtleties, however, depending on how you define your sample space. If a woman has two children, and one is a girl, the odds that the other child is a girl are not fifty-fifty. The sample space you are dealing with is girl-girl, girl-boy, and boy-girl; by specifying one is a girl, you eliminate the possibility of boy-boy. Each of the remaining three possibilities have equal likelihoods, and only one has a girl as that second child, so the odds in this case are one out of three. There are not only puzzles here, but real-world examples like the O.J. Simpson trial. When lawyer Alan Dershowitz was faced with the prosecution's depiction of Simpson as a wife abuser, he countered with statistics that showed that in America, although millions of wives are battered every year, only 1 of 2,500 is murdered. Something swayed that jury, and perhaps this was part of it. What Dershowitz didn't give is the more relevant percentage odds: 90% of battered women who are murdered are killed by their abusers. There are fascinating ideas here about variations in normal populations and variations in measurement. Mlodinow shows that we often overestimate how much control people have. He draws many examples from sports, winetasting, or the business world, and demonstrates conclusively that success or failure depends heavily on pure chance, even though we like to give credit or blame to people who are only nominally in charge.
Mlodinow keeps things light. He is careful with how much mathematics he inflicts upon the reader. In discussing the famous Monty Hall problem, he advises that it requires no mathematical training, but "... it does require some careful logical thought, so if you are reading this while watching _Simpsons_ reruns, you might want to postpone one activity or the other. The good news is it goes on for only a few pages." In one lesson after another, he shows that pure random variation, our ability to see patterns when there is only chaos, and our eagerness to attribute outcomes to action rather than to chance cause us to think we have much more control than we really do. This might be a pessimistic message; as Mlodinow shows in many examples, circumstances beyond our control are what are really in control. This ought, however, to help us be gentler with ourselves and with our neighbors. It also shows, as he points out, that with chance playing such a large role, we have to seize every opportunity we can, and he quotes IBM pioneer Thomas Watson: "If you want to succeed, double your failure rate."
- I love books, all books, but I especially love science books. This book was more than a science book though. It was inspirational. If you read through all the way to the end, then you cannot help but be inspired. Unless of course, you are a control freak. If you are one of those types of people, then you may be a bit discouraged to learn that your controlling ways are all in vain. But, if you are a optimist or an optimist in the making, then this is the book for you.
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