I have a background in Calculus (Simmons and Lang), Linear Algebra (Lang), and Differential Equations (Simmons). I want to read a book in Mathematical Methods but I find that the treatment is just too superficial. Examples are, Mathematical Methods by Boas, Hassani, and Hobson. I want to know some suggestions on books about the topics in those Mathematical Methods books, mainly I would like to focus on two topics: Integral Transforms (Fourier Analysis, Laplace transforms, etc) and Complex Analysis. I know there many suggestions in other threads but the catch here is that my goal is not to study each topic with a depth as say with what a mathematician wants but the level should be about for example, I've learned Calculus through say, Lang but I don't want to study books like Spivak, but Lang is certainly enough to get me through my study of Physics and of course with a certain amount of rigor in the Math aspect so as it wouldn't be called "cookbook/engineering math". To summarize, I would like to read books with a balance between theoretical and computational aspect, also it shouldn't assume familiarity and it's better if it is not too thick (~300-400 pages is about right) since I don't have the luxury of time but if it will sacrifice quality then I'll just stick to the one which is better, I just prefer moderate amount of pages i.e Lang. So far I have gathered some resources that I think will meet what I have in mind but feel free to give your opinion in my findings. Integral Transforms: Fourier Series by Tolstov (Sadly this doesn't include Laplace transform) Fourier Series and Boundary Value Problems by Brown and Churchill (Engineery?) Complex Analysis: Complex Variables and Applications by Brown and Churchill ( Somehow longer, engineery?) Probability: Introduction to Probability 2nd Edition by Bertsekas and Tsitsiklis (Longer but I cannot find any better treatment, I have read the first two chapters and I'm very satisfied with it so I'll stick with it, opinions are still welcome) Calculus of Variations: Any classical mechanics book I think will do? (I find that Goldstein's treatment is too focused on the topics of classical mechanics but I don't know any other topics I could have used CoV). Mathematics of Classical and Quantum Mechanics by Byron and Fuller (The chapter on Calculus of Variations is spot on and I think for physicist's needs, it is enough?) *Tensor Analysis and Group Theory are excluded since it is more specialized (in a sense, any undergraduate in physics can get away without it aside from little bits here and there unless you are taking GR, Graduate QM, particle physics, also I already have resources that I'm satisfied with).