E. J. McShane, Integration, Princeton University Press, 1944 (Princeton Mathematical Series vol. 7). Lebesgue and Lebesgue-Stieltjes integration built from the Daniell point of view, written before measure theory settled into its modern textbook shape.
Mathematics
H. J. Lipkin, Lie Groups for Pedestrians, North-Holland, 1965; Dover reprint of the 2nd edition, 2002. Group theory for physicists by way of isospin, SU(3) and the harmonic oscillator, with the algebra kept as close to the physics as it will go.
N. G. de Bruijn, Asymptotic Methods in Analysis, North-Holland, 1958 (Bibliotheca Mathematica vol. IV). The classic short course on asymptotic expansions: the O and o calculus, implicit functions, summation by Euler’s formula, Laplace’s method, saddle points, the method of stationary phase, iterated functions and differential equations. A 1958 hardcover copy.
Kenneth Hoffman and Ray Kunze, Linear Algebra, Prentice-Hall, 1961 (first edition). The rigorous MIT text: linear equations and vector spaces, linear transformations, polynomials, determinants, elementary canonical forms, the rational and Jordan forms, inner product spaces, and bilinear forms. A 1961 Prentice-Hall hardcover copy.
These are all the books that I own / have owned in the past. I have not read them all, neither will I ever be able to.
You walked past the rendered SVG on your way here.
This was the first and most green Problem Set. It teetered on the edge of Higher Secondary and Recreational mathematics:
Here are the books that I have taken the time to create metadata and/or notes for.