Principles of Real Analysis - Couverture rigide

Aliprantis, Charalambos D.; Burkinshaw, Owen

4

9 �valuations de Goodreads

9780120502554: Principles of Real Analysis

Couverture rigide

ISBN 10 : 0120502550 ISBN 13 : 9780120502554

Editeur : Academic Press Inc, 1990

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Book by Aliprantis Charalambos D Burkinshaw Owen

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur :

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 r�f�rence � une autre �dition de ce titre.