Einstein's Mistakes: The Human Failings of Genius and over one million other books are available for Amazon Kindle. Learn more

Vous voulez voir cette page en français ? Cliquez ici.


or
Sign in to turn on 1-Click ordering.
or
Amazon Prime Free Trial required. Sign up when you check out. Learn More
More Buying Choices
Have one to sell? Sell yours here
Start reading Einstein's Mistakes: The Human Failings of Genius on your Kindle in under a minute.

Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.

Einstein's Mistakes [Paperback]

Hans Ohanian

List Price: CDN$ 21.00
Price: CDN$ 15.16 & FREE Shipping on orders over CDN$ 25. Details
You Save: CDN$ 5.84 (28%)
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o
Only 1 left in stock (more on the way).
Ships from and sold by Amazon.ca. Gift-wrap available.
Want it delivered Thursday, July 31? Choose One-Day Shipping at checkout.

Formats

Amazon Price New from Used from
Kindle Edition CDN $10.72  
Hardcover CDN $22.00  
Paperback CDN $15.16  
Join Amazon Student in Canada


Book Description

Oct. 27 2009 0393337685 978-0393337686
Although Einstein was the greatest genius of the 20th century, many of his ground-breaking discoveries were blighted by mistakes, ranging from serious misconceptions in physics to blatant errors in mathematics. For instance, Einstein's first theoretical proof of the famous formula E = mc2 was incomplete and only approximately valid; he struggled with this problem for many years, but he never found a complete proof (better mathematicians did). In this provocative forensic biography, Hans Ohanian dissects this and other mistakes and places them in the context of Einstein's turbulent life and times. Einstein was often navigating in a fog of irrational and mystical inspirations, but his profound intuition about physics permitted him to reach his goal despite-and sometimes because of-the mistakes he made along the way. Einstein's uncanny ability to use his mistakes subconsciously as stepping stones toward his revolutionary theories was one hallmark of his genius.

Customers Who Bought This Item Also Bought


Product Details

  • Paperback: 416 pages
  • Publisher: WW Norton (Oct. 27 2009)
  • Language: English
  • ISBN-10: 0393337685
  • ISBN-13: 978-0393337686
  • Product Dimensions: 2.6 x 13.3 x 20.3 cm
  • Shipping Weight: 204 g
  • Amazon Bestsellers Rank: #460,959 in Books (See Top 100 in Books)

Product Description

Review

"...Einstein's Mistakes is a superlative intellectual biography of Einstein and an excellent introduction to the complex, complicated and often counterintuitive discipline of modern physics...Anyone interested in the history of science should read this fascinating and rewarding book." Fortean Times "...a well-informed and thought-provoking critique of Einstein's tantalizing combination of brilliance and blunder." New Scientist

About the Author

Hans Ohanian is the author of several physics textbooks and dozens of articles published in the American Journal of Physics, where he was an associate editor.

Customer Reviews

There are no customer reviews yet on Amazon.ca
5 star
4 star
3 star
2 star
1 star
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com: 3.3 out of 5 stars  21 reviews
21 of 22 people found the following review helpful
5.0 out of 5 stars As Joyce said: "A man of genius makes no mistakes; his errors are volitional and are the portals of discovery." March 12 2010
By Neal J. King - Published on Amazon.com
Format:Paperback
I really enjoyed reading this book, because Ohanian covers some ground that I have not seen anywhere else, and he calls it the way he sees it. As a genuine trained relativist, he knows what he is talking about when he argues the physics.

However, I believe that he is a bit unfair to Einstein in calling him out for so many "mistakes":

- I do not agree that Einstein's argument for time synchronization was a "mistake": It was a REQUIREMENT following from the fact that no velocity of the Earth relative to the ether could be found. It is true that, if the Michelson-Morley result had given a positive result, Einstein's synchronization mechanism would have failed as being self-inconsistent, so in that sense it was an over-statement by Einstein to call his mechanism a "free act of will." But the argument itself is valid as an expression of what followed from the null result of M&M.

- The later argument by Swann that explained the Lorentz contraction in terms of dynamical effects was also valuable, but different. The preceding work by Lorentz and Poincare are also more in this school of thought: What do you expect to happen starting from Maxwell's equations and so forth? But these two approaches are both valuable and complementary.

- I do not agree that Einstein's argument for E = mc^2 is a "mistake". It is not valid as a mathematical proof, but it is an excellent heuristic argument. Given that it comes out of the blue, it is very suggestive, and convinces one that "there's gold in them thar hills." For a pioneer that is stumbling across this for the first time, it is like a miracle. The fact that more systematic and complete arguments are needed do not change that. Sometimes, to quote Feynman (on the discovery of the rules for calculating QED), "More truth can be known than can be proven."

The fact that Einstein chose to stick with his early arguments (of limited validity) is not really a mistake in my view: Why shouldn't a pioneer be proud to show his original tools of discovery? The professionals following after (like Planck) can and should do that. What is missing is that modern textbooks usually don't provide a full derivation either; but that is hardly Einstein's fault.

- Ohanian calls Einstein's arguments about meter-stick measurements on a rotating disk mistaken because they challenge the flatness of geometry in the non-rotating lab. However, as I read it, Einstein is just pointing out that the APPARENT geometry as measured by the physical meter sticks on a rotating disk are bound to look non-Euclidean. I do not believe there is anything wrong about what Einstein actually said here.

- Also in several other cases, Ohanian choses to call "mistakes" what we can see now are incomplete/heuristic arguments, or arguments where we would now chose to emphasize other aspects. It seems to me that Ohanian does this to give himself a unifying theme on which to base his book.

- Finally, I recently saw an article that pointed out that MOST scientific papers have mistakes. Nearly all papers (it claimed) turn out eventually to be wrong. In other words, progress in science entails a lot of back-and-forth, and the field as a whole progresses even as individual scientists change their minds one way or another. If this is true, then finding mistakes in Einstein's papers is no big deal; indeed, maybe the real point is that, since the topics addressed by the papers were significant, what can now be seen as errors are now seen to be significant as well.

Some readers (maybe most readers) will find Ohanian's writing style occasionally jarring: he sometimes uses informal language in a way that calls attention to itself and distracts from the story. Other reviews have pointed this out as well.

OK, so what was good about the book?

- The detailed explanation of the arguments was very revealing, even though I don't agree that they were all as "mistaken" as Ohanian condemns. He still provides an explanation of the context: What was the essential question being addressed, how does the argument work, where would we fault it today? This is very interesting, and provides the bread & butter of the book.

- Ohanian details some specific problems, and evaluations by current professional relativists, concerning the equivalence principle. He points out several ways in which it is quantitatively wrong. I guess the point is that it was a heuristic argument that helped Einstein in the right way at the right time, but doesn't have much bearing once you have the actual equations of general relativity. I now understand better some of the zen-like cryptic remarks made by a professor on this topic: Student: "I'm having some trouble actually understanding how the equivalence principle applies in this case ...". Professor: "Your lack of understanding is actually an indication of understanding the equivalence principle."

- Ohanian discusses the many attempts required to actually arrive at the correct equations for GR. Apparently, there is no cogent way to arrive at these equations from the general considerations from which Einstein was starting, although Ohanian describes a path starting from the spin-2 version of quantum field theory that eventually gets you there. So, unlike the case with special relativity, the creation of general relativity really was a leap in the dark.

- Contrary to most reviewers, I was fascinated by the "dirt" Ohanian was dishing on Einstein's financial and romantic affairs. I was totally unaware that he got around so much. In retrospect, this reminds me a bit of Richard Feynman.

- It was also interesting to hear that he was a bit full of himself, nearly fatally, when a young man. This really hurt his career, initially.

- It was very interesting to read that Einstein depended so much on assistants to do his calculations carefully and thoroughly. It seems odd; but it does clarify the point that there is a big difference between mathematics and theoretical physics. Most of the mathematicians I knew simply cannot really "get" physics; so now we know of a theoretical physics of genius who was just not very good at math. Obviously his revolutionary ideas and concepts were not really mathematical in origin or nature, even though some of them required high-powered mathematics to implement. Fascinating!

- Finally, it was very interesting to read Ohanian's deconstruction of the process by which Einstein became the most famous scientist of the 20th century. I had never questioned it; although I have always evaluated Niels Bohr as the most important scientist of the 20th century, for leading and supporting the development of quantum theory through his work with an international "college" of geniuses.

In short: I do recommend this book highly, even though I disagree with the somewhat cantankerous approach taken towards Einstein's "mistakes". It truly does prove James Joyce's point, quoted in the book: "A man of genius makes no mistakes; his errors are volitional and are the portals of discovery." I believe this applies more to Einstein than to Joyce!

Neal J. King
37 of 45 people found the following review helpful
3.0 out of 5 stars Interesting material hampered by attack-dog presentation Oct. 30 2008
By Clark B. Timmins - Published on Amazon.com
Format:Hardcover
The text presents a mix of light biography, theory explanation, and analysis of errors in a blend appropriate to support the major thesis--that Einstein made mistakes. The text is well written, generally balanced in structure, and enjoyable. Early chapters develop Einstein's career in the greater field of physics, first presenting the advances of Galileo, Newton, Lorentz, and others. Einstein is then presented as a young man working as a patent clerk and desiring a university posting--a posting beyond his grasp due to mediocre grades, poor personal hygiene, and challenged interpersonal skills. The book then follows his entire career. The included biography however is spotty and highlights anecdotes, but does not attempt to explain the man in notable detail--though the text is not intended as a comprehensive biography. Throughout, Einstein is presented as self-promoting, prone to foibles, a lousy mathematician, excessively proud, human--and also intelligent in the arena of physics. The author clearly does not hold Einstein in the same fabled light favored by conventional wisdom, for example presenting Einstein's initial forays into general relatively as "a performance worthy of Elmer Fudd" (p. 196) and suggesting that many of Einstein's theoretical advances were either proposed earlier by others, co-discovered but not co-attributed, or were invalid in detail while only accidentally correct in the general case. These various issues form the bulk of what the text terms Einstein's mistakes, noting "Einstein made so many mistakes in his scientific work that it is hard to keep track of them" (p. 327). The text does not claim to discover any mistakes--they are all attributed to other sources in the two-dozen pages of endnotes. The text argues that Einstein's reputation remains untarnished not for lack of faults but because of professional courtesy: "...he did not label Einstein's mistake as such. This restraint has also been observed by later writers..." (p. 96).

The text presents most material in a roughly chronological order, considering theories and papers in the order they were published. It is apparent from the material included that Einstein's interests were wide and that he had a fundamental grasp on the significant questions of physics during his lifetime. However, Einstein is presented as, at best, a bumbling mathematician. Most of the chronicled mistakes are mathematical errors. Much of science typically works in a stepwise fashion, with theories being offered and then either modified or withdrawn. Einstein was no exception to this and many of his published theories were later modified, either by himself or others. These early theoretical excursions, when not substantively correct on the first presentation, are considered serious mistakes. When Einstein did not know of significant contemporaneous developments, his ignorance is also termed a mistake. Some of Einstein's personal foibles and some of his career moves are considered mistakes.

In all, Einstein's collected papers are said to comprise "about 180 original items. Of these, about 50 contain mistakes...It's a bad scorecard" (p. 327). While the close examination of Einstein's productivity makes fascinating reading, the text's unfortunate tone borders on gloating and is not consistently objective; Einstein's mistakes "were perfectly mundane, careless, and sometimes stupid lapses in logic and mathematics" (p. 332). And in fact, the tone of the title itself captures entirely the tone of the text. The text's greatest disappointment, however, lies in the conclusion "[w]hat lessons can we extract from Einstein's mistakes? Not many" (p. 332). Surely this is wrong--studying the failings of genius, after all, helps us understand our own average failings in an entirely different light. And even if the conclusion is after all correct, that nothing can be learned by examining Einstein's mistakes, then why write the book in the first place?
5 of 6 people found the following review helpful
3.0 out of 5 stars misleading Dec 28 2009
By Benjamin Crowell - Published on Amazon.com
Format:Paperback
Ohanian seems willing to be sloppy or distort the truth in order to rack up points against Einstein. For example, he writes: "It was not until 1941 that the American physicist W.F.G. Swann revisited Lorentz's arguments in the context of relativistic quantum mechanics and showed that, indeed, the length contraction emerges from a quantum-theoretical calculation of the length of a solid body when the length of a moving solid body is compared with the length of a similar body at rest."

I was inclined to accept this statement until I went to the trouble of looking up the actual paper, W.F.G. Swann, "Relativity, the Fitzgerald-Lorentz Contraction, and Quantum Theory," Rev. Mod. Phys., 13, 197 (1941). What the Swann actually does is this. He describes the process of accelerating a measuring rod from an initial state of rest in the lab frame. He considers the problem that it may be difficult to distinguish between two possibilities: (1) the rod becomes Lorentz-contracted, and (2) the rod suffers a mechanical contraction because of the stress imposed by accelerating it. He claims (and I think this is correct) that if all you know is the Lorentz transformation, you can't tell whether the result of the experiment actually verifies the Lorentz transformation (#1) or not (#2); you need some specific physical theory that's capable of describing the structure and dynamics of solid rods. He hypothesizes a Lorentz-invariant theory of quantum mechanics capable of addressing this problem, which didn't actually exist at the time. What he does know, based on the state of the art at the time, is that quantum-mechanical systems have ground states. Then he argues that after you're done accelerating the rod, it will settle back down into its ground state (assuming you accelerate it gently enough). Thus by picking a specific physical theory (quantum mechanics) to lay on top of the foundation of the bare Lorentz transformation, you gain the ability to distinguish between interpretations 1 and 2. Basically it's an argument that SR by itself has predictive value (e.g., it predicts a null result for the Michelson-Morley experiment), but it doesn't have full explanatory value unless you augment it with some dynamical theory that describes how particles interact.

Ohanion's description is highly inaccurate. Ohanian makes it sound as though Swann did an actual calculation using a theory of relativistic quantum mechanics. Actually, no such theory existed in 1941 -- or at least, none that was capable of calculating anything of the type that Ohanian claims. Swann explicitly says in his paper that he does *not* possess such a theory. What he does is simply to hypothesize what kind of results would have to come out of such a theory, based on the general facts that were known about quantum mechanics in 1941, such as the existence of ground states. Ohanion, seemingly in an effort to make Einstein look bad, complains that although Dirac developed relativistic quantum mechanics in 1928, "It was not until 1941..." that Swann wrote his paper. The implication is that Einstein had an unhealthy effect on the state of research in the field, steering it away from relevant questions from a period of some 13 years. But if Ohanian has actually read Swann's paper (has he?) he realizes that Swann was not able to do the relevant calculations in 1941; he merely hypothesized what their results would have been, if he had possessed a theory that had been developed to a level where it would be usable for this purpose.
7 of 9 people found the following review helpful
2.0 out of 5 stars Is it personal? March 20 2010
By horseshoe - Published on Amazon.com
Format:Paperback
Halfway through this book, I started to have the feeling that the author held some grudge against Einstein, and that that was his ultimate reason for writing it.
Some simple details are very obvious for the non-scientist. For example, he tells us that the weightlessness experienced by a falling person was not very original, and he cites Jules Verne's novel as a precedent. He cites the episode when the spaceship travellers throw out a dead dog, and its cadaver continued to coast alongside the ship. This is the most stupid thing I have ever read for a precedent to the equivalence principle. He also mentions that centrifuges already existed, so everyone knew that acceleration created a gravitational field. Please.
Another case in point is when he misconstrues a quote by Einstein regarding the slowing of clocks within a gravitational field. Einstein says "We must use clocks of unlike constitution for measuring time at places with different gravitation". Ohanian says that Einstein was right in saying that clocks run more slowly in gravitational fields, but that he was wrong in saying that this is so "because we elect to adjust the clocks in such a way as to make them run slowly" (sic).
If this book had been written by a layman, these could be put down to a poor understanding of physics. But since the author knows his subject so well, one wonders about his good faith and the accuracy of other, more technical claims that are more difficult for me to verify.
6 of 8 people found the following review helpful
5.0 out of 5 stars An excellent writer with a silly title but a good book Dec 24 2008
By Kenneth Ellman - Published on Amazon.com
Format:Hardcover
From Kenneth Ellman
ke@kennethellman.com

The title of this book is unfortunate as it does not reflect the value and ability of the author.
This book is not about "Einstein's Mistakes", but is actually a generalized discussion in English (very limited mathematics is used) of the writing and discoveries of Albert Einstein and other scientists. Most important is that this author has discussed Einstein with comparisons and integration of many other Physicists and Mathematicians. So this book is really an overview in a mix of somewhat plain and technical English of the areas of Physics worked on by Albert Einstein and other scientists.

The book has this uncanny ability to annoy the reader, particularly with gossipy digressions. But everytime you feel like putting it aside it then pulls you back into the exploration of these ideas by this author in a way that overcomes whatever discomfort the book otherwise contains. Basically in balance it is an excellent work and portrayal of the world of Physics as it relates to Albert Einstein and other Physicists, particularly for those who seek exposure with little mathematical expression..

I do not understand why this author thinks it is in any way important to discuss the family or romantic activities of Einstein. But he clearly does. That takes away from the value of this work and is really a silly distraction.

Yes, of course the book discusses the errors Einstein made is his papers. Certainly there were at times mathematical mistakes and failures to adequately assert and portray the proofs and expressions necessary for a rigorous explanation of the ideas Einstein conveyed. Whether the errors were simply oversights or the examples of insufficient mathematical ability or simply evidence of other concerns and priorities of Einstein is not truly known. Nor do I think it matters. I do believe what Einstein wrote is what he intended and his views and manner of approach may have been different than many others.

The book is valuable, but three main reasons for my endorsement are as follows:

1. It is a cataloging of asserted errors made by Albert Einstein. Whether you believe a particular issue is only alleged error (because Einstein intended the expression to be as is) or proven error (because the assertion is admittedly wrong or the proofs show it to be wrong) really does not matter.
In the reading, following and understanding of this books review of those particular incongruous writings of Einstein this author is also reviewing and teaching and explaining the Physics that underlies the fundamental concepts of science that should be understood. After all you cannot appreciate the assertions of error unless you at least attempt to know and learn the subject being discussed. So in a sense this book is a review of the papers and works of Einstein with an accent on his alleged and manifest errors, and done in such a way that it is accessible to any avid reader with an interest in Science. That is a valuable contribution. You do not have to agree with all the conclusions of this book but in order to participate in the argument you do have to learn and know something of the subject. I love books I can give to people who do not have much of a science background to stimulate their mind. Keep in mind that as this book points out on page 71 that the works of Isaac Newton also had errors some characterized as "nothing short of deliberate fraud".

2. It is a discussion to a limited extent on the work of other great scientists whose accomplishments interacted with those of Einstein either contemporaneously or historically and the impact of their work. This is useful. In that sense it provides a view of the history of science in this area.

3. It causes an exposure of the manner in which this particular human mind (Einstein), conceptualized his thoughts of Physics. While this has been discussed in other books, that does not mean it is not directly interrelated to the assertions of Einstein's Errors. What comes through clearly in this book is that the approach of Einstein to his subject was not the approach used by other Scientists of his day. No, he was quite different. The discussion and exposure of the "Errors" of Einstein actually adds to an understanding of how this human mind conceptualized his ideas.
That is valuable.

You do not have to agree with all the conclusions of this book in order that it be a useful and stimulating addition to discussion of ideas. It is not a Physics textbook nor simply a history book.
In its valuable parts it is a look in plain English of the concepts of Physics, the actors who tread its paths and how the human mind has strove and struggled with these concepts and ideas. I do not agree with all in this book, particularly the assessment of Einstein's work on General Relativity. But that does not take away from its value.
This book is well written. Removing the nonsense personality commentary would have made it shorter and clearer.
Kenneth Ellman ke@kennethellman.com

P.S.--To Donald B. Gennery From Kenneth Ellman
In reference to "stipulation that light travels at the same speed in opposite directions" I in part agree with you that the
making of a "stipulation" in and of itself may be a proper manner to approach this question. Certainly I do not find that the
making of the "stipulation" is in any way an improper manner to reach the conclusion. If it is improper I do not understand why.
HOWEVER you should be aware that at the web site of Physics Today, April 2006 scitation.aip.org/journals/doc/PHTOAD-ft/vol_59/iss_4/10_1.shtml
it appears this question was briefly discussed by both Steven Weinberg and the author Hans Ohanian.
What would be your response to this?
Thank you very much.
Kenneth Ellman
ke@kennethellman.com

Look for similar items by category


Feedback