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Understanding Analysis
(Springer, 2015)
My primary goal in writing Understanding Analysis was to create an elementary
one-semester book that exposes students to the rich rewards inherent in
taking a mathematically rigorous approach to the study of functions ...
Real Analysis
(Springer, 2015)
Analysis forms an essential basis of mathematics as a whole, as well as of the natural
sciences, and more and more of the social sciences too. The theory of analysis (differentiation
and integration) was created—after ...
Introduction to Smooth Manifolds
(Springer, 2013)
Manifolds crop up everywhere in mathematics. These generalizations of curves and surfaces to arbitrarily many dimensions provide the mathematical context for understanding “space” in all of its manifestations. Today, the ...
Classical Fourier Analysis
(Springer, 2014)
The great response to the publication of my book Classical and Modern Fourier
Analysis in 2004 has been especially gratifying to me. I was delighted when Springer
offered to publish the second edition in 2008 in two ...