Mathematics - Its Content, Methods, and Meaning

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Posted on 2010-05-19. By anonymous.

Description




Quote:
Hailed by The New York Times Book Review as "...nothing less than a major contribution to the scientific culture of this world," this major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and non-Euclidean geometry, topology, functional analysis, and more.

Contents
Volume 1
1. A general view of mathematics
2. Analysis
3. Analytic Geometry
4. Algebra: Theory of algebraic equations
5. Ordinary differential equations
Volume 2
6. Partial differential equations
7. Curves and surfaces
8. The calculus of variations
9. Functions of a complex variable
10. Prime numbers
11. The theory of probability
12. Approximations of functions
13. Approximation methods and computing techniques
14. Electronic computing machines
Volume 3
15. Theory of functions of a real variable
16. Linear algebra
17. Non-Euclidean geometry
18. Topology
19. Functional analysis
20. Groups and other algebraic systems

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