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[null,"1.","Record Nr.",null,"UNINA9910467312103321"]
[null,null,"Autore",null,"Geveci Tunc"]
[null,null,"Titolo",null,"Intermediate calculus : infinite series / / Tunc Geveci"]
[null,null,"Pubbl/distr/stampa",null,"New York, [New York] (222 East 46th Street, New York, NY 10017) : , : Momentum Press, , 2016"]
[null,null,"ISBN",null,"1-60650-867-9"]
[null,null,"Descrizione fisica",null,"1 online resource (iv, 146 pages) : illustrations"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Calculus"]
[{"$nulls":4},"Series, Infinite"]
[{"$nulls":4},"Libros electronicos."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Co-published with Cognella Academic Publishing."]
[{"$nulls":4},"Includes index."]
[null,null,"Nota di contenuto",null,"1. Approximation of arbitrary functions using Taylor polynomials -- Taylor polynomials based at 0 -- Taylor polynomials based at an arbitrary point --"]
[{"$nulls":4},"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 --"]
[{"$nulls":4},"3. Introduction to the infinite series --"]
[{"$nulls":4},"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 --"]
[{"$nulls":4},"5. An introduction to power series -- The definitions -- Convergence properties of a power series -- Differentiation of functions defined by power series --"]
[{"$nulls":4},"6. Using termwise integration, multiplication and division to determine Taylor series -- Termwise integration of power series -- Arithmetic operations on Taylor series -- The binomial series --"]
[{"$nulls":4},"7. Testing for absolute convergence with the integral and comparison tests -- The integral test -- Error estimates related to the integral test -- Comparison tests --"]
[{"$nulls":4},"8. Using conditional convergence to determine alternating series -- Alternating series --"]
[{"$nulls":4},"9. An introduction to the Fourier series -- Fourier series of 2[pi]-periodic functions -- Fourier series when the period is different from 2"]
[{"$nulls":4},"[pi] --"]
[{"$nulls":4},"Index."]