Probability (1963)
Sorry, Feynman, whatever else he did, on probability he gets a grade of flat F.  Here is why:  In his book <i>Lectures on Physics</i> he states that a particle of unknown location has a probability density uniform over all of space.  No it doesn't.  No such density can exist.  Done.  Grade flat F.<p>I tried to be a physics major but could not swallow all the daily really stupid mistakes such as this one by Feynman I got each physics lecture and I didn't have time both to learn the physics AND to clean up the sloppy math.  So, I majored in math.<p>As I learned the math, from some of the best sources, I came to understand just how just plain awful the math of the physics community is.<p>Then in one of the Adams lectures on quantum mechanics at MIT I saw some of the reason:  The physics community takes pride in doing junk math.  They get by with it because they won't take the math seriously anyway, that is, they insist on experimental evidence.  So, to them, the math can be just a heuristic, a hint for some guessing.<p>Students need to be told this, in clear terms, early on.<p>It went on this way:  In one of the lectures from MIT a statement was that the wave functions were differentiable and also continuous.  Of COURSE they are continuous -- every differentiable function is continuous.<p>The lectures made a total mess out of correlation and independence.  It looks like Adams does not understand the two or their difference clearly.<p>There was more really sloppy stuff around Fourier theory.  I got my Fourier theory from three of W. Rudin's books.  It looks like at MIT they get Fourier theory from a comic book.<p>I got sick, really sick, of the math in physics.  Feynman on probability is just one example.