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How to Become a Pure Mathematician (or Statistician):
a List of Undergraduate and Basic Graduate Textbooks and Lecture
Notes

Stage 1

Halmos P.R. Naive Set Theory
Graham R.L., Knuth D.E. and Patashnik O. Concrete Mathematics: A
Foundation for Computer Science
Hardy G.H. A Course of Pure Mathematics
Spivak M. Calculus

Stage 2

Shilov G.E. Linear Algebra
Courant R. and John F. Introduction to Calculus and Analysis II/1, II/
2
Brown J.W. and Churchill R.V. Complex Variables and Applications
Simmons G.F. and Krantz S.G. Differential Equations: Theory,
Technique, and Practice

Stage 3

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