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Autore: | Geveci Tunc |
Titolo: | Intermediate calculus : infinite series / / Tunc Geveci |
Pubblicazione: | New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016 |
Descrizione fisica: | 1 online resource (iv, 146 pages) : illustrations |
Disciplina: | 515 |
Soggetto topico: | Calculus |
Series, Infinite | |
Soggetto genere / forma: | Libros electronicos. |
Note generali: | Co-published with Cognella Academic Publishing. |
Includes index. | |
Nota di contenuto: | 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. | |
Titolo autorizzato: | Intermediate calculus |
ISBN: | 1-60650-867-9 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910467312103321 |
Lo trovi qui: | Univ. Federico II |
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