Mathematical analysis /

Detalles Bibliográficos
Autor principal: Zorich, V. A. (Vladimir Antonovich)
Otros Autores: Cooke, Roger, 1942- (coaut.)
Formato: Libro
Lenguaje:English
Russian
Publicado: Berlin : Springer, c2004.
Colección:Universitext
Materias:
Análisis matemático.
Tabla de Contenidos:
  • v. 1. Some general mathematical concepts and notation
  • The real numbers
  • Limits
  • Continuous functions
  • Differential calculus
  • Integration
  • Functions of several variables
  • Differential calculus in several variables
  • Some problems from the midterm examinations
  • Examination topics
  • v. 2. Continuos mappings (General theory)
  • Differential calculus from a general viewpoint
  • Multiple integrals
  • Surfaces and differential forms in R
  • Line and surface integrals
  • Elements of vector analysis and field theory
  • Integration of differential forms on manifolds
  • Uniform convergence and basic operations of analysis
  • Integrals depending on a parameter
  • Fourier series and the Fourier transform
  • Asymptotic expansions
  • Topics and questions for midterm examinations
  • Examination topics.

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