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Mathematical Analysis II
This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Espe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2016.
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| Edición: | 2nd ed. 2016. |
| Colección: | Universitext,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 9 Continuous Mappings (General Theory)
- 10 Differential Calculus from a General Viewpoint
- 11 Multiple Integrals
- 12 Surfaces and Differential Forms in Rn
- 13 Line and Surface Integrals
- 14 Elements of Vector Analysis and Field Theory
- 15 Integration of Differential Forms on Manifolds
- 16 Uniform Convergence and Basic Operations of Analysis
- 17 Integrals Depending on a Parameter
- 18 Fourier Series and the Fourier Transform
- 19 Asymptotic Expansions
- Topics and Questions for Midterm Examinations
- Examination Topics
- Examination Problems (Series and Integrals Depending on a Parameter)
- Intermediate Problems (Integral Calculus of Several Variables)
- Appendices: A Series as a Tool (Introductory Lecture)
- B Change of Variables in Multiple Integrals
- C Multidimensional Geometry and Functions of a Very Large Number of Variables
- D Operators of Field Theory in Curvilinear Coordinates
- E Modern Formula of Newton-Leibniz
- References
- Index of Basic Notation
- Subject Index
- Name Index.