Lectures on the theory of functions of real variables /
| Основен автор: | Pierpont, James, -1938. |
|---|---|
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Boston : New York [etc.] :
Ginn & co.,
[c1905-12]
|
| Предмети: | |
| Онлайн достъп: |
http://resolver.library.cornell.edu/math/2143846 http://resolver.library.cornell.edu/math/2143846a |
| Подобни документи: |
Online version::
Lectures on the theory of functions of real variables. |
Съдържание:
- vol. 1. Rational numbers
- Irrational numbers
- Exponentials and logarithms
- The elementary functions. Notion of a function in general
- First notions concerning point aggregates
- Limits of functions
- Continuity and discontinuity of functions
- Differentiation
- Implicit functions
- Indeterminate forms
- Maxima and minima
- Integration
- Proper integrals
- Improper integrals. Integrand infinite
- Improper integrals. Interval of integration infinite
- Multiple proper integrals
- vol. 2. Point sets and proper integrals
- Improper multiple integrals
- Series
- Multiple series
- Series of functions
- Power series
- Infinite products
- Aggregates
- Ordinal numbers
- Point sets
- Measure
- Lebesgue integrals
- Fourier's series
- Discontinuous functions
- Derivates, extremes, variation
- Sub- and infra-uniform convergence
- Geometric notions.