Topology, Calculus and Approximation

Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of To...

Descripción completa

Detalles Bibliográficos
Autor principal: Komornik, Vilmos (-)
Autor Corporativo: SpringerLink (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: London : Springer London 2017.
Colección:Springer Undergraduate Mathematics Series ;
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b35687526*spi
Tabla de Contenidos:
  • Part 1. Topology
  • Chapter 1. Metric spaces
  • Chapter 2. Topological spaces
  • Chapter 3. Normed spaces
  • Part 2. Differential calculus
  • Chapter 4. The Derivative
  • Chapter 5. Higher-order derivatives
  • Chapter 6. Ordinary differential equations
  • Chapter 7. Implicit functions and their applications
  • Part 3. Approximation methods
  • Chapter 8. Interpolation
  • Chapter 9. Orthogonal polynomials
  • Chapter 10. Numerical integration
  • Chapter 11. Finding roots
  • Chapter 12. Numerical solution of differential equations.