数学拾遗 all the mathematics you missed but need to know
by T.Garrity
英文版
目录:
Preface
On the Structure of Mathematics
brief Summaries of Topics
0.1 Linear Algebra
0.2 Real Analysis
0.3 Differentiating Vector-Valued Functions
0.4 Point Set Topology
0.5 Classical Tsokes' theorems
0.6 Diferential forms and Stokes' Theorem
0.7 Curvature for Curves and Surfaces
0.8 Geometry
0.9 comples Analysis
0.10 Countability and the Axiom of Choice
0.11 Algebra
0.12 Lebesgue Integration
0.13 Fourier Analylsis
0.14 Differential Equations
0.15 Combinatorics and Probability Theory
0.16 Algorithms
1 Linear Algebra
2 * and * Real Analysis
3 Calculus for Vector-Valued Functions
4 Point Set Topology
5 Classical Stokes' Theorems
6 diffenrential Forms and Stokes' Thm.
7 Curvature for Curves and Surfaces
8 Geometry
9 Complex Analysis
10 countability and the Axiom of choice
11 Algebra
12 Lebesgue Integration
13 fourier Analysis
14 differential Equations
15 Combinatorics and Probability
16 Algorithms
A Equivalence Relations