I'm reading Pauling's General Chemistry and he starts off his first chapter with, "Matter may be defined as any kind of mass-energy that moves with velocities less that the velocity of light, and radiant energy as any kind of mass-energy that moves with the velocity of light."
I know that we...
I figured out what was confusing me. My misconception was that I believed AB to be an infinite straight line with A and B only denoting the different directions of the line that had not yet been fixed -- in which case the proof would have ended after the construction of the parallelogram BEFG --...
In Heath's commentary on Euclid's Elements he stresses the importance of the application of areas (Book I Proposition 44) with, "The marvellous ingenuity of the solution is indeed worth of the 'godlike men of old'...".
The proposition, "To a given straight line to apply, in a given...
Thanks for the reply Mathwonk.
I know that this thread is very general, but I hope for replies with books on many different topics.
Also, I have read your How to be a Mathematician thread several times over.
I hoped for people to post just a few of the books that they really thought...
For any mathematician or physicist, what textbooks do you consider a must read?
Also, what books do you remember reading that gave you great insight into a topic which you previously did not have?
Two vectors are parallel if they are multiples of each other
ie \vec{a}= <1,2,3> is parallel to \vec{b}=<2,4,6> and \vec{c}=<3,6,9> and so on
So the parameter t in \vec{a} = \vec{v}t just allows the vector \vec{r} to move along the line, where \vec{r} is the position vector of a point on...
I was just curious if anyone had any information on how 'the greats' went about studying. People such as Feynman, Einstein, etc. studied.
Of course omit the scientists who mastered analysis by the age of 5 like Neumann and Landau.
I am currently using a physics book that has many problems involving circular coordinate systems, but doesn't cover them very thoroughly. Does anyone have any recommendations on books that give thoroughly cover circular coordinate systems?
Take a look at A.P. French's Newtonian Mechanics (MIT Introductory). The book doesn't work out many examples but it does use calculus and does have all of the answers in the back of the book.
https://www.amazon.com/dp/0393099709/?tag=pfamazon01-20