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.
Rezensionen / Stimmen
'Throughout the text is carefully organized, proofs are complete and rigorous and the material is completed by carefully worked examples.' Zentralblatt fur Mathematik
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
25 Line drawings, unspecified
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 28 mm
Gewicht
ISBN-13
978-0-521-82925-0 (9780521829250)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Universiteit Utrecht, The Netherlands
Universiteit Utrecht, The Netherlands
Übersetzung
1. Integration; 2. Integration over submanifolds; 3. Oriented integration; Exercises.