Intermediate calculus : infinite series [E-Book] / Tunc Geveci.
Saved in:
Full text |
|
Personal Name(s): | Geveci, Tunc., author |
Imprint: |
New York, [New York] (222 East 46th Street, New York, NY 10017) :
Momentum Press,
2016
|
Physical Description: |
1 online resource (iv, 146 pages) : illustrations. |
Note: |
englisch |
ISBN: |
9781606508671 |
Subject (LOC): |
- 1. Approximation of arbitrary functions using Taylor polynomials
- Taylor polynomials based at 0
- Taylor polynomials based at an arbitrary point
- 2. Error in approximation using Taylor polynomials
- The error in the approximation by a Taylor polynomial
- The limit as the order of Taylor polynomial increases
- 3. Introduction to the infinite series
- 4. Tests for absolute convergence
- The monotone convergence principle and absolute
- Convergence
- The ratio test
- The root test
- The proofs of the ratio test and the root test
- 5. An introduction to power series
- The definitions
- Convergence properties of a power series
- Differentiation of functions defined by power series
- 6. Using termwise integration, multiplication and division to determine Taylor series
- Termwise integration of power series
- Arithmetic operations on Taylor series
- The binomial series
- 7. Testing for absolute convergence with the integral and comparison tests
- The integral test
- Error estimates related to the integral test
- Comparison tests
- 8. Using conditional convergence to determine alternating series
- Alternating series
- 9. An introduction to the Fourier series
- Fourier series of 2[pi]-periodic functions
- Fourier series when the period is different from 2[pi]
- Index.