02826nam 2200577 450 991046731210332120200520144314.01-60650-867-9(CKB)4330000000017416(OCoLC)939718503(CaBNvSL)swl00405901(MiAaPQ)EBC4389025(Au-PeEL)EBL4389025(CaPaEBR)ebr11152412(CaONFJC)MIL832656(OCoLC)939262334(EXLCZ)99433000000001741620151209d2016 fy 0engurcnu||||||||rdacontentrdamediardacarrierIntermediate calculus infinite series /Tunc GeveciNew York, [New York] (222 East 46th Street, New York, NY 10017) :Momentum Press,2016.1 online resource (iv, 146 pages) illustrationsCo-published with Cognella Academic Publishing.Includes index.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.CalculusSeries, InfiniteLibros electronicos.Calculus.Series, Infinite.515Geveci Tunc.755794FINmELBFINmELBBOOK9910467312103321Intermediate calculus2042128UNINA