Оглавление


Introduction
I. Elementary mathematics
1. Fundamental operations on rational numbers
2. Higher arithmetical operations
3. Development of the number system
4. Algebraic equations
5. Functions
6. Percentages, interest and annuities
7. Plane geometry
8. Solid geometry
9. Descriptive geometry
10. Trigonometry
11. Plane trigonometry
12. Spherical trigonometry
13. Analytic geometry of the plane
II. Steps towards higher mathematics
14. Set theory
15. The elements of mathematical logic
16. Groups and fields
17. Linear algebra
18. Sequences, series, limits
19. Differential calculus
20. Integral calculus
21. Series of functions
22. Ordinary differential equations
23. Complex analysis
24. Analytic geometry of space
25. Projective geometry
26. Differential geometry, convex bodies, integral geometry
27. Probability theory and statistics
28. Calculus of errors, adjustment of data, approximation theory
29. Numerical analysis
30. Mathematical optimization
III. Brief reports on selected topics
31. Number theory
32. Algebraic geometry
33. Further algebraic structures
34. Topology
35. Measure theory
36. Graph theory
37. Potential theory and partial differential equations
38. Calculus of variations
39. Integral equations
40. Functional analysis
41. Foundation of geometry  Euclidean and nonEuclidean geometry
42. Foundations of mathematics
Tables