From the Introduction to
https://arxiv.org/abs/2106.11285
"Since the dawn of time, human beings have asked some fundamental questions: who are we? why are we here? is there life after death? Unable to answer any of these, in this paper we will consider cohomology classes on a compact projective...
As @apostolosdt has said, Schaum's Outline are valuable supplements of problems for standard text.
A text that provides detailed pedagogical explanations of concepts is Classical Mechanics by John Taylor. Some folks liked the detailed explanations; some folks find this text a little too wordy.
Bears, everyone is talkin' 'bout bears! Every year, we get some bears, but this summer my northern BC (Canada) city has been invaded by an extraordinarily large number of bears! Daughter's chore: knock crab apples out of that tree, and then rake them up. Not sure why she isn't in the pic. Pics...
One possibly relevant text is "Basic Training in Mathematics: A Fitness Program for Science Students" by Shankar. Use Amazon's Look Inside feature to view at the table of contents, and to read Shankar's rational for creating the book. As new texts go, the paperback version is relatively...
I think this depends on context, and that it is not unusual to see X, Y, Z in quantum computing books, or quantum books that have substantial sections on quantum computing. I am not entirely sure, and I ould like to check my books, but I'm at my in-laws, and thus separated from my books by...
This isn't quite how it is done. Treat
$$\bar{\psi} \sigma_{\mu\nu} \psi$$
as a set of 6 basis elements. To get a general element, write a linear combination of the basis elements, e.g.,
$$F = F^{\mu \nu} \bar{\psi} \sigma_{\mu\nu} \psi.$$
##F## is an anti-symmetric tensor with components ##...
I hope that NANOGrav has seen individual events(s), but I think it is more likely that they will announce that they have detected the "rumble" of many events, i.e., a stochastic background of long wavelength gravitational waves.
A member of NANOGrav recently commented that there is no...
There also are two very good books by Baumgarte and Shapiro:
1) "Numerical Relativity: Starting from Scratch", which is introductory and quite short;
2) "Numerical Relativity: Solving Einstein's Equations on the Computer", which is more advanced and much longer.
Check them out on Amazon...
Do you really mean algebraic? Or do you mean some combination of (abstract) algebra, differential geometry, and (functional) analysis?
I am going to interpret your request very loosely.
Mathematical books on classical mechanics include:
"Mathematical Methods of Classical Mechanics" by Arnold...