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Klappentext In A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across. Zusammenfassung Degree students of mathematics are often daunted by the mass of definitions and theorems with which they must familiarize themselves. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses. Inhaltsverzeichnis 1. Some mathematical language; 2. Sets and functions; 3. Equivalence relations and quotient sets; 4. Number systems I; 5. Groups I; 6. Rings and fields; 7. Homomorphisms and quotient algebra's; 8. Vector spaces and matrices; 9. Linear Equations and rank; 10. Determinants and multi linear mappings; 11. Polynomials; 12. Groups II; 13. Number systems II; 14. Fields and polynomials; 15. Lattices and Boolean algebra; 16. Ordinal numbers; 17. Eigenvectors and eigenvalues; 18. Quadratic forms and inner products; 19. Categories and functors; 20. Metric spaces and continuity; 21. Topological spaces and continuity; 22. Metric Spaces II; 23. The real numbers; 24. Real-valued function of real variable; 25. Differentiable functions of one variable; 26. Functions of several real variables; 27. Integration; 28. Infinite series and products; 29. Improper integrals; 30. Curves and arc length; 31. Functions of a complex variable; 32. Multiple integrals; 33. Logarithmic, exponential and trigonometric functions; 34. Vector algebra; 35. Vector calculus; 36. Line and surface integrals; 37. Measure and lebesgue integration; 38. Fourier series; Appendix 1 some 'named' theorems and properties; Appendix 2 Alphabets used in mathematics; Index of symbols; Subject index.
