Intermediate calculus : infinite series / / Tunc Geveci

• Autore: Geveci Tunc
• 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