This is a book on basic analysis and related topics. It
presents the most important theorems in measure and
integration, an introduction to functional analysis, the
big advanced calculus theorems about the Frechet
derivative including the implicit function theorem, and
other topics including fixed point theorems and
applications, the Brouwer degree, and an introduction to
the generalized Riemann integral. Although there are
some abstract topics, the emphasis is on analysis which
takes place in the context of n dimensional Euclidean
space.
The book is directed to advanced undergraduates and
beginning graduate students in math and physical science
who are interested in analysis and is self contained for
this audience. It could be used as a textbook for a two
semester course. 
Kenneth
Kuttler
received his Ph.D from the University of Texas at Austin
in 1981. He is a professor of mathematics at Brigham
Young University. Previous to being at Brigham Young
University he was an associate professor in the Math
Science department at Michigan Tech. University for
roughly 15 years. His research interest is in
abstract methods for nonlinear
partial differential equations and variational
inequalities. Professor Kuttler has been teaching
various math courses. His publications include many
research papers in his specialty and a graduate
textbook, Modern Analysis (1996, CRC Press).
