Joseph L. Taylor, University of Utah, Salt Lake City, UT, USA
Foundations of Analysis is an excellent new text for undergraduate
students in real analysis. More than other texts in the subject, it
is clear, concise and to the point, without extra bells and
whistles. It also has many good exercises that help illustrate the
material. My students were very satisfied with it." - Nat Smale,
University of Utah
"I have taught our Foundations of Analysis course (based on Joe
Taylor's book) several times recently, and have enjoyed doing so.
The book is well-written, clear, and concise, and supplies the
students with very good introductory discussions of the various
topics, correct and well-thought-out proofs, and appropriate,
helpful examples. The end-of-chapter problems supplement the body
of the text very well (and range nicely from simple exercises to
really challenging problems)." - Robert Brooks, University of
Utah
"An excellent text for students whose future will include contact
with mathematical analysis, whatever their discipline might be. It
is content-comprehensive and pedagogically sound. There are
exercises adequate to guarantee thorough grounding in the basic
facts, and problems to initiate thought and gain experience in
proofs and counterexamples. Moreover, the text takes the reader
near enough to the frontier of analysis at the calculus level that
the teacher can challenge the students with questions that are at
the ragged edge of research for undergraduate students. I like it a
lot." - Don Tucker, University of Utah
"My students appreciate the concise style of the book and the many
helpful examples." - W.M. McGovern, University of Washington
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