Multidimensional real analysis. II, Integration / J.J. Duistermaat and J.A.C. Kolk ; translated from the Dutch by J.P. van Braam Houckgeest.

Format:

Book

Author/Creator:

Duistermaat, J. J. (Johannes Jisse), 1942- author.

Kolk, Johan A. C., 1947- author.

Contributor:

Braam Houckgeest, J. P. van, translator.

Series:

Cambridge studies in advanced mathematics ; 87.

Cambridge studies in advanced mathematics ; 87

Language:

Dutch

English

Subjects (All):

Mathematical analysis.

Functions of real variables.

Mathematical analysis--Problems, exercises, etc.

Functions of real variables--Problems, exercises, etc.

Physical Description:

1 online resource (xviii, pages 423-798) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Summary:

Part two of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of integral analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study.

Contents:

Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgments; Introduction; Chapter 6 Integration; Chapter 7 Integration over Submanifolds; Chapter 8 Oriented Integration; Exercises; Notation; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and indexes.

ISBN:

1-107-14774-3

1-280-47780-6

9786610477807

0-511-19520-6

0-511-19586-9

0-511-19379-3

0-511-31422-1

0-511-61672-4

0-511-19453-6

OCLC:

123413716