Was plane geometry your favourite math course in high school? Did you
like proving theorems? Are you sick of memorising integrals? If so, real
analysis could be your cup of tea. In contrast to calculus and
elementary algebra, it involves neither formula manipulation nor
applications to other fields of science. None. It is Pure Mathematics,
and it is sure to appeal to the budding pure mathematician. In this new
introduction to undergraduate real analysis the author takes a different
approach from past studies of the subject, by stressing the importance
of pictures in mathematics and hard problems. The exposition is informal
and relaxed, with many helpful asides, examples and occasional comments
from mathematicians like Dieudonne, Littlewood and Osserman. The author
has taught the subject many times over the last 35 years at Berkeley
and this book is based on the honours version of this course. The book
contains an excellent selection of more than 500 exercises.Download
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