This is the first volume of a modern introduction to quantum
field theory which addresses both mathematicians and physicists, at
levels ranging from advanced undergraduate students to professional
scientists. The book bridges the acknowledged gap between the
different languages used by mathematicians and physicists. For
students of mathematics the author shows that detailed knowledge of
the physical background helps to motivate the mathematical subjects
and to discover interesting interrelationships between quite
different mathematical topics. For students of physics, fairly
advanced mathematics is presented, which goes beyond the usual
curriculum in physics.
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