The three volumes of A Course in Mathematical Analysis provide a
full and detailed account of all those elements of real and complex
analysis that an undergraduate mathematics student can expect to
encounter in their first two or three years of study. Containing
hundreds of exercises, examples and applications, these books will
become an invaluable resource for both students and instructors.
This first volume focuses on the analysis of real-valued functions
of a real variable. Besides developing the basic theory it
describes many applications, including a chapter on Fourier series.
It also includes a Prologue in which the author introduces the
axioms of set theory and uses them to construct the real number
system. Volume II goes on to consider metric and topological spaces
and functions of several variables. Volume III covers complex
analysis and the theory of measure and integration.
General
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