Junior level course for math majors―generally required―usually for 2 terms. Chapters 1-5 are for 1st semester, chapters 6-10 for 2nd semester. Text offers strategies of proof for major theorems. This is a "friendly, baby Rudin." Covers both single and multivariable analysis.
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William Wade received his PhD in harmonic analysis from the University of California―Riverside. He has been a professor of the Department of Mathematics at the University of Tennessee for more than forty years. During that time, he has received multiple awards including two Fulbright Scholarships, the Chancellor's Award for Research and Creative Achievements, the Dean's Award for Extraordinary Service, and the National Alumni Association Outstanding Teaching Award.
Wade’s research interests include problems of uniqueness, growth and dyadic harmonic analysis, on which he has published numerous papers, two books and given multiple presentations on three continents. His current publication, An Introduction to Analysis,is now in its fourth edition.
In his spare time, Wade loves to travel and take photographs to document his trips. He is also musically inclined, and enjoys playing classical music, mainly baroque on the trumpet, recorder, and piano.
Designed as a "bridge" between undergraduate calculus to graduate level courses that use analytical ideas, this text provides a rigorous treatment of the subject.
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