This book contains a collection of exercises (called "tapas") at
undergraduate level, mainly from the fields of real analysis, calculus,
matrices, convexity, and optimization.
Most of the problems presented here are non-standard and some require
broad knowledge of different mathematical subjects in order to be
solved. The author provides some hints and (partial) answers and also
puts these carefully chosen exercises into context, presents information
on their origins, and comments on possible extensions. With stars
marking the levels of difficulty, these tapas show or prove something
interesting, challenge the reader to solve and learn, and may have
surprising results.
This first volume of Mathematical Tapas will appeal to mathematicians,
motivated undergraduate students from science-based areas, and those
generally interested in mathematics.