Suchergebnisse

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 non-Euclidean geometry -- 42. Foundations of mathematics -- Tables.