This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown 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 is beyond the usual curriculum in physics.
: Physics and Astronomy, Distribution, Finite, Hilbert space, Operator, Topology, Variable, functional analysis, general relativity, linear optimization, mathematical physics, mathematics, model, particle physics, quantum field theory, statistical mechanics