Intermediate calculus : infinite series /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Geveci, Tunc (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2016.
Temas:
Calculus.
Series, Infinite.
Calcul infinitésimal.
Séries infinies.
calculus.
Calculus
Series, Infinite
Libros electronicos.
Acceso en línea:Texto completo
Texto completo
Tabla de Contenidos:
  • 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].

Ejemplares similares