| Description |
1 online resource (iv, 146 pages) : illustrations. |
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text rdacontent |
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computer rdamedia |
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online resource rdacarrier |
| Note |
Co-published with Cognella Academic Publishing. |
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Includes index. |
| Contents |
1. Approximation of arbitrary functions using Taylor polynomials -- Taylor polynomials based at 0 -- Taylor polynomials based at an arbitrary point -- |
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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 -- |
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3. Introduction to the infinite series -- |
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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 -- |
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5. An introduction to power series -- The definitions -- Convergence properties of a power series -- Differentiation of functions defined by power series -- |
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6. Using termwise integration, multiplication and division to determine Taylor series -- Termwise integration of power series -- Arithmetic operations on Taylor series -- The binomial series -- |
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7. Testing for absolute convergence with the integral and comparison tests -- The integral test -- Error estimates related to the integral test -- Comparison tests -- |
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8. Using conditional convergence to determine alternating series -- Alternating series -- |
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9. An introduction to the Fourier series -- Fourier series of 2[pi]-periodic functions -- Fourier series when the period is different from 2[pi] -- |
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Index. |
| Access |
Restricted to libraries which purchase an unrestricted PDF download via an IP. |
| Note |
Title from PDF title page (viewed on December 9, 2015). |
| Subject |
Calculus.
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Series, Infinite.
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| Genre/Form |
Libros electronicos.
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| ISBN |
9781606508671 (electronic bk.) |
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