


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 