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Advanced Basics of Geometric Measure Theory

ByMaria Roginskaya

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This book is based on lecture notes for a short course for Masters level or senior undergraduate students. It may also serve as easy (and hopefully pleasant) reading for researchers in a different field of Mathematics. The main purpose of the book is to look closely at some results that are basic for modern Analysis and which fascinated the author when she was a student, and to show how they constitute a foundation for the branch of Analysis known as Geometric Measure Theory. The secondary aim of the book is to give a straightforward but reasonably complete introduction to the definition of Hausdorff measure and Hausdorff dimension and to illustrate how non-trivial they can be. The course has no ambition to replace a serious course on Geometric Measure Theory, but rather to encourage the student to take such a course. The author comes from Russia. For the past 17 years she has worked at Chalmers University of Technology in Gothenburg, Sweden. She also had visiting positions in Canada, France, and Poland.

Details

Publication Date
Jul 23, 2015
Language
English
ISBN
9781326367435
Category
Science & Medicine
Copyright
All Rights Reserved - Standard Copyright License
Contributors
By (author): Maria Roginskaya

Specifications

Pages
104
Binding
Perfect Bound
Interior Color
Black & White
Dimensions
A5 (5.83 x 8.27 in / 148 x 210 mm)

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