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.
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