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Undergraduate Analysis Serge Lang

Undergraduate Analysis par Serge Lang

Undergraduate Analysis Serge Lang

État - Bon état
Épuisé
Bon état

Résumé

An introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

Undergraduate Analysis Résumé

Undergraduate Analysis Serge Lang

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

From the reviews: This material can be gone over quickly by the really well-prepared reader, for it is one of the book's pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it. --AMERICAN MATHEMATICAL SOCIETY

Undergraduate Analysis Avis

Second Edition

S. Lang

Undergraduate Analysis

[A] fine book . . . logically self-contained . . . This material can be gone over quickly by the really well-prepared reader, for it is one of the book's pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it.-AMERICAN MATHEMATICAL SOCIETY

Sommaire

Chapter 0: Sets and Mappings Chapter 1: Real Numbers Chapter 2: Limits and Continuous Functions Chapter 3: Differentiation Chapter 4: Elementary Functions Chapter 5: The Elementary Real Integral Chapter 6: Normed Vector Spaces Chapter 7: Limits Chapter 8: Compactness Chapter 9: Series Chapter 10: The Integral in One Variable Appendix: The Lebesgue Integral Chapter 11: Approximation with Convolutions Chapter 12: Fourier Series Chapter 13, Improper Integrals Chapter 14: The Fourier Integral Chapter 15: Calculus in Vector Spaces Chapter 16: The Winding Number and Global Potential Functions Chapter 17: Derivatives in Vector Spaces Chapter 18: Inverse Mapping Theorem Chapter 19: Ordinary Differential Equations Chapter 20: Multiple Integration Chapter 22: Differential Forms Appendix

Informations supplémentaires

CIN0387948414G
9780387948416
0387948414
Undergraduate Analysis Serge Lang
Serge Lang
Undergraduate Texts in Mathematics
Occasion - Bon état
Relié
Springer-Verlag New York Inc.
20050628
642
N/A
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