Multidimensional Real Analysis 2 Volume Hardback Set (Cambridge Studies in Advanced Mathematics)

Multidimensional Real Analysis 2 Volume Hardback Set (Cambridge Studies in Advanced Mathematics)

By: J. A. C. Kolk (author), J. J. Duistermaat (author)Other Formats

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Description

Two volume set of the authors' comprehensive and innovative work on multidimensional real analysis. These books are based on extensive teaching experience at Utrecht University and give a thorough account of analysis in multidimensional Euclidean space. They are 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 these books present an original treatment of the subject and they contain 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 these books ideal as either the text for a course, a source of problems for a seminar or for self study.

Contents

Volume 1: 1. Continuity; 2. Differentiation; 3. Inverse function and implicit function theorems; 4. Manifolds; 5. Tangent spaces; Exercises. Volume 2: 1. Integration; 2. Integration over submanifolds; 3. Oriented integration; Exercises.

Product Details

  • ISBN13: 9780521829304
  • Format: Other Formats
  • Number Of Pages: 840
  • ID: 9780521829304
  • weight: 1538
  • ISBN10: 0521829305

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