Articles liés à Principles of Real Analysis

Principles of Real Analysis - Couverture rigide

Aliprantis, Charalambos D.

 
9780120502578: Principles of Real Analysis
Couverture rigide
ISBN 10 : 0120502577 ISBN 13 : 9780120502578
Editeur : Academic Press Inc, 1998

Synopsis

With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

  • Gives a unique presentation of integration theory
  • Over 150 new exercises integrated throughout the text
  • Presents a new chapter on Hilbert Spaces
  • Provides a rigorous introduction to measure theory
  • Illustrated with new and varied examples in each chapter
  • Introduces topological ideas in a friendly manner
  • Offers a clear connection between real analysis and functional analysis
  • Includes brief biographies of mathematicians

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Academic Press Inc
Date d'édition
1998
Langue
anglais
ISBN 10 
0120502577
ISBN 13 
9780120502578
Reliure
Relié
Numéro d'édition
3
Nombre de pages
436
Éditeur
Burkinshaw Owen
Coordonnées du fabricant
non disponible
Personne responsable
Yeepin GmbH
492000000000
sunshine12232@outlook.com

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