Real and functional analysis /
Lang, Serge 1927-2005
Real and functional analysis / Serge Lang. - Third edition. - xiv, 580 páginas : figuras. - Graduate Texts in Mathematics ; no. 142 .
Incluye índice.
Bibliografía : páginas 569-571
PART ONE. General topology. Chapter I. Sets. - Chapter II. Topological spaces. - Chapter III. Continuous functions on compact sets. - PART TWO. Banach and Hilbert spaces. Chapter V. Hilbert spaces. - PART THREE. Integration. Chapter VI. The general integration. - Chapter VII. Duality and representation theorems. - Chapter VIII. Some applications of integration. - Chapter IX. Integration and measures on locally compact spaces. - Chapter X. Rieman-Stieltjes integral and measure. - Chapter XI. Distributions. - Chapter XII. Integration on locally compact groups. - PART FOUR. Calculus. Chapter XIII. Differential calculus. - Chapter XIV. Inverse mappings and differential equations. - PART FIVE. Functional analysis. Chapter XV. The open mapping theorem, factor spaces, and duality. - Chapter XVI. The spectrum. - Chapter XVII. Compact and fredholm operators. - Chapter XVIII. Spectral theorem for Bounded Hermitian operators. - Chapter XIX. Further spectral theorems. - Chapter XX. Spectral measures. - PART SIX. Global analysis. Chapter XXI. Local integration of differential forms. - Chapter XXII. Manifolds. - Chapter XXIII. Integration and measures on manifolds.
0387940014
Análisis matemático
Análisis funcional
Funciones continuas
Espacios topológicos
Espacios de Banach
Espacios de Hilbert
Cálculo diferencial
Análisis funcional
Ciencias físicas
515.7 / L269r 1993
Real and functional analysis / Serge Lang. - Third edition. - xiv, 580 páginas : figuras. - Graduate Texts in Mathematics ; no. 142 .
Incluye índice.
Bibliografía : páginas 569-571
PART ONE. General topology. Chapter I. Sets. - Chapter II. Topological spaces. - Chapter III. Continuous functions on compact sets. - PART TWO. Banach and Hilbert spaces. Chapter V. Hilbert spaces. - PART THREE. Integration. Chapter VI. The general integration. - Chapter VII. Duality and representation theorems. - Chapter VIII. Some applications of integration. - Chapter IX. Integration and measures on locally compact spaces. - Chapter X. Rieman-Stieltjes integral and measure. - Chapter XI. Distributions. - Chapter XII. Integration on locally compact groups. - PART FOUR. Calculus. Chapter XIII. Differential calculus. - Chapter XIV. Inverse mappings and differential equations. - PART FIVE. Functional analysis. Chapter XV. The open mapping theorem, factor spaces, and duality. - Chapter XVI. The spectrum. - Chapter XVII. Compact and fredholm operators. - Chapter XVIII. Spectral theorem for Bounded Hermitian operators. - Chapter XIX. Further spectral theorems. - Chapter XX. Spectral measures. - PART SIX. Global analysis. Chapter XXI. Local integration of differential forms. - Chapter XXII. Manifolds. - Chapter XXIII. Integration and measures on manifolds.
0387940014
Análisis matemático
Análisis funcional
Funciones continuas
Espacios topológicos
Espacios de Banach
Espacios de Hilbert
Cálculo diferencial
Análisis funcional
Ciencias físicas
515.7 / L269r 1993