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A few possibilities: JC Robinson, JL Rodrigo, & W Sadowski (2016) Classical theory of the three-dimensional Navier-Stokes equations. OA Ladyzhenskaya (1963) The mathematical theory of viscous incomp …

For the purposes of what you describe in your question, I think Inkscape would probably be fine (it's quite good for drawing the type of 2D figure which you describe). I have used TikZ before but it c …

Someone told me that it is possible to solve the Yamabe problem using Ricci flow. The proof I know of is the one originally proposed by Yamabe and then completed by Trudinger, Aubin and Schoen (in pa …

Another possibility might be Mackey's Mathematical Foundations of Quantum Mechanics (Mackey obviously being an eminent researcher in functional analysis and noncommutative geometry). A positive review …

This misconception that mathematics is a young person's game seem to have been pushed most forcefully by Hardy, but the list of examples he gives is very misleading because they all died young and so …

As Franz says, it is impossible to know for definite which view the young Euler supported. However, Newton had already disposed of the Cartesian vortex theory in the Principia which was published almo …

This is a physics example rather than a mathematics example, but Albert Einstein did this many times. I believe on many occasions he in fact published multiple papers in the same issue of the same jo …

There are many sources on general relativity for mathematicians (see, for example, the lecture notes of Schoen and the textbook Geometric Relativity by Dan Lee). It's been a while since I read any che …

Not a survey per se, but a good article on the theorem is the one below which gives a quick, clear sketch of the second part of Schoen and Yau's proof of the positive mass theorem. It might be helpful …

In terms of physical motivation of $\phi^4$, if I remember rightly the references in the introduction to this paper might have some pointers. Dashen R and Neuberger H 1983 How to get an Upper Bound o …

In general reading entire textbooks in QFT is not the best way to learn QFT (or any subject in science and mathematics). I have not heard of the books, but my guess is that they are not going to be a …

If you're interested in model categories in the context of operads, the book Homotopy of Operads and Grothendieck-Teichmuller Groups Part 2: The Applications of Rational Homotopy Theory Methods by Ben …

For beginners 'A Course on Geometry Group Theory' by Brian Bowditch is nice although quite terse in places, but good for 'setting the scene'.

I was wondering if there were any recent references dealing with the theory of systems of elliptic PDEs: in particular, someone was telling me about something which sounded like 'Schur complementarity …

Did Bertrand Russell not close down Frege's programme of logic with his observation of Russell's paradox? In this case, a simple observation essentially shut down Frege's programme of research, thoug …