The book consists of thirty lectures on diverse topics, covering
much of the mathematical landscape rather than focusing on one
area. The reader will learn numerous results that often belong to
neither the standard undergraduate nor graduate curriculum and will
discover connections between classical and contemporary ideas in
algebra, combinatorics, geometry, and topology. The reader's effort
will be rewarded in seeing the harmony of each subject. The common
thread in the selected subjects is their illustration of the unity
and beauty of mathematics. Most lectures contain exercises, and
solutions or answers are given to selected exercises. A special
feature of the book is an abundance of drawings (more than four
hundred), artwork by an accomplished artist, and about a hundred
portraits of mathematicians. Almost every lecture contains
surprises for even the seasoned researcher.
General
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