Multidimensional real analysis

Author(s)

• Duistermaat, J. J. (Johannes Jisse)
• Kolk, Johan A. C.
• Braam Houckgeest, J. P. van

Bibliographic Information

Multidimensional real analysis

J.J. Duistermaat, J.A.C. Kolk ; translated from Dutch by J.P. van Braam Houckgeest

（Cambridge studies in advanced mathematics, 86-87）

Cambridge University Press, 2004

• v. 1
• v. 2

Note

Includes indexes

Contents of Works

• v. 1. Differentiation
• v. 2. Integration

Description and Table of Contents

Volume

v. 1 ISBN 9780521551144

Description

Part one 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 differential 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.

Table of Contents

• Preface
• Acknowledgements
• Introduction
• 1. Continuity
• 2. Differentiation
• 3. Inverse function and implicit function theorems
• 4. Manifolds
• 5. Tangent spaces
• Exercises
• Notation
• Index.

Volume

v. 2 ISBN 9780521829250

Description

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.

Table of Contents

• 1. Integration
• 2. Integration over submanifolds
• 3. Oriented integration
• Exercises.

by "Nielsen BookData"

Details

• NCID: BA67318972
• ISBN:
  • 0521551145
  • 0521829259
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: dut
• Place of Publication: Cambridge
• Pages/Volumes: 2 v.
• Size: 24 cm
• Classification:
  • LCC : QA301
  • DC21 : 515
• Subject Headings:
  • LCSH : Mathematical analysis -- Problems, exercises, etc
  • LCSH : Functions of real variables -- Problems, exercises, etc
• Parent Bibliography ID:
  • BA00109761