Charalambos D. Aliprantis

Principles of Real Analysis

Herausgegeben:Burkinshaw, Owen

• Gebundenes Buch

Produktbeschreibung

Introduces students to the fundamentals of the theory of measure and functional analysis. This work includes a chapter on Hilbert spaces, and covers the basic theory of integration using a practical synthesis of the "Daniell Method" and the measure theoretic approach. It also offers a connection between real analysis and functional analysis.

Produktdetails

• Verlag: Academic Press / Elsevier Science & Technology
• Artikelnr. des Verlages: C2009-0-22274-4
• 3. Aufl.
• Seitenzahl: 415
• Englisch
• Abmessung: 228mm x 152mm x 234mm
• Gewicht: 780g
• ISBN-13: 9780120502578
• ISBN-10: 0120502577
• Artikelnr.: 21718496

Inhaltsangabe

Fundamentals of Real Analysis
Topology and Continuity
The Theory of Measure
The Lebesgue Integral
Normed Spaces and Lp-Spaces
Hilbert Spaces
Special Topics in Integration
Bibliography

Rezensionen

"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student." --J. Lorenz in ZENTRALBLATT FUR MATEMATIK

"A clear and precise treatment of the subject. All details are given in the text...I used a portion of the book on extension of measures and product measures in a graduate course in real analysis. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use." --CASPAR GOFFMAN, Department of Mathematics, Purdue University