Real and Functional Analysis: Third Edition: 142 - Rilegato

Lang, Serge

Rilegato

ISBN 10: 0387940014 ISBN 13: 9780387940014

Casa editrice: Springer Verlag, 1993

Riassunto

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

Su questo libro

Contenuti:

I Sets.- II Topological Spaces.- III Continuous Functions on Compact Sets.- IV Banach Spaces.- V Hilbert Space.- VI The General Integral.- VII Duality and Representation Theorems.- VIII Some Applications of Integration.- IX Integration and Measures on Locally Compact Spaces.- X Riemann-Stieltjes Integral and Measure.- XI Distributions.- XII Integration on Locally Compact Groups.- XIII Differential Calculus.- XIV Inverse Mappings and Differential Equations.- XV The Open Mapping Theorem, Factor Spaces, and Duality.- XVI The Spectrum.- XVII Compact and Fredholm Operators.- XVIII Spectral Theorem for Bounded Hermltian Operators.- XIX Further Spectral Theorems.- XX Spectral Measures.- XXI Local Integration off Differential Forms.- XXII Manifolds.- XXIII Integration and Measures on Manifolds.- Table of Notation.

Product Description:

Book by Lang Serge

Su questa edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1993
• ISBN 10: 0387940014
• ISBN 13: 9780387940014
• Rilegatura: Copertina rigida
• Numero di pagine: 600