Multidimensional real analysis
著者
書誌事項
Multidimensional real analysis
（Cambridge studies in advanced mathematics, 86-87）
Cambridge University Press, 2004
- v. 1
- v. 2
大学図書館所蔵 件 / 全50件
-
v. 1. : Differentiation/D 8842080001434,
v. 2. : Integration/D 8842080001445 -
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes indexes
収録内容
- v. 1. Differentiation
- v. 2. Integration
内容説明・目次
- 巻冊次
-
v. 1 ISBN 9780521551144
内容説明
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.
目次
- Preface
- Acknowledgements
- Introduction
- 1. Continuity
- 2. Differentiation
- 3. Inverse function and implicit function theorems
- 4. Manifolds
- 5. Tangent spaces
- Exercises
- Notation
- Index.
- 巻冊次
-
v. 2 ISBN 9780521829250
内容説明
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.
目次
- 1. Integration
- 2. Integration over submanifolds
- 3. Oriented integration
- Exercises.
「Nielsen BookData」 より