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What sections of mathematics should be studied to master the volumes of Donald Knuth?
Hello! Stumbled upon volumes by Donald Knuth. Clearly, this is pure mathematics. Without a good base, they cannot be mastered.
1) Mathematical analysis
2) Euclidean geometry
3) Analytic/Projective geometry
4) Elementary and/or differential topology
5) Set theory
6) Boolean algebra
7) Linear algebra
8) Graphs
9) Automata theory
10) Discrete mathematics
11) Probability theory and statistics
12) Differential and / or Integral calculus (popularly "diffury" and "intura")
13) Number theory
14) Algebra (perhaps some inequalities, for example, Young's, Hölder's, Cauchy-Bunyakovsky, Chebyshev, Cauchy, transinequality)
15) Elements of combinatorics
It is clear that it is difficult to study all this, it is difficult to keep in mind, all the more something is forgotten. Which of the following should I study to master the volumes of Donald Knuth?
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Knuth himself answered your question with the book "Concrete Mathematics" (translated into Russian under the title "Concrete Mathematics").
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