The VNR Concise Encyclopedia of MathematicsWalter Gellert A comprehensive color-coded compilation of information on elementary and higher mathematics and aspects of contemporary mathematics includes scores of worked-out problems, definitions, and theorems. |
Contents
Introduction | 7 |
Elementary mathematics 1 2 3 4 | 17 |
6 | 18 |
11 | 19 |
Fundamental operations on rational numbers | 22 |
Higher arithmetical operations | 47 |
Development of the number system | 69 |
Algebraic equations Functions | 80 |
29 | 591 |
Calculus of errors adjustment of data approximation theory | 607 |
Numerical analysis | 630 |
30 | 649 |
Mathematical optimization | 653 |
Brief reports on selected topics 31 Number theory | 669 |
32 | 672 |
Algebraic geometry | 675 |
Percentages interest and annuities | 139 |
Plane geometry | 146 |
Solid geometry Descriptive geometry | 184 |
Trigonometry | 220 |
Plane trigonometry | 241 |
Spherical trigonometry | 252 |
Analytic geometry of the plane | 282 |
Steps towards higher mathematics Set theory | 320 |
The elements of mathematical logic | 332 |
Groups and fields | 343 |
Sequences series limits 14 15 | 381 |
16 | 382 |
Linear algebra 18 19 | 383 |
Differential calculus 20 Integral calculus | 406 |
21 | 408 |
Series of functions | 479 |
22 | 487 |
Ordinary differential equations 23 | 500 |
Complex analysis | 517 |
Analytic geometry of space | 530 |
25 | 539 |
Projective geometry | 547 |
Differential geometry convex bodies integral geometry | 561 |
27 | 570 |
Probability theory and statistics | 575 |
Further algebraic structures | 678 |
Topology | 680 |
Measure theory | 687 |
Graph theory | 688 |
37 | 691 |
Potential theory and partial differential equations 38 | 693 |
Calculus of variations | 698 |
Integral equations | 703 |
Functional analysis | 705 |
Foundation of geometry Euclidean and nonEuclidean geometry | 711 |
Foundations of mathematics 11 17 | 717 |
80 | 724 |
146 | 726 |
406 | 727 |
479 | 730 |
500 | 738 |
547 | 739 |
607 | 740 |
630 | 745 |
680 | 747 |
688 | 748 |
705 | 749 |
723 | 750 |
Tables The contents of Chapters 14 and 15 refer in part to mathematical knowledge provided in sub sequent chapters | 756 |
Copyright | |