Differential and integral calculus /
| Основен автор: | Landau, Edmund, 1877-1938. |
|---|---|
| Формат: | Книга |
| Език: | English German |
| Публикувано: |
New York :
Chelsea Pub. Co.,
1951, c1950.
|
| Предмети: | |
| Подобни документи: |
Online version::
Differential and integral calculus. |
Съдържание:
- pt. I. Differential calculus
- Limits as n = [lemniscate]
- Logarithms, powers, and roots
- Functions and continuity
- Limits as x = [xi]
- Definition of the derivative
- General theorems on the formation of the derivative
- Increase, decrease, maximum, minimum
- general properties of continuous functions on closed intervals
- Rolle's theorem and the theorem of the mean
- Derivatives of higher order; Taylor's theorem
- "0/0" and similar matters
- Infinite series
- Uniform convergence
- Power series
- Exponential series and binomial series
- The trigonometric functions
- Functions of two variables and partial derivatives
- Inverse functions and implicit functions
- The inverse trigonometric functions
- Some necessary algebraic theorems
- pt. II. Integral calculus
- Definition of the integral
- Basic formulas of the integral calculus
- The integration of rational functions
- The integration of certain non-rational functions
- Concept of the definite integral
- Theorems on the definite integral
- The integration of infinite series
- The improper integral
- The integral with infinite limits
- The gamma function
- Fourier series.