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This is the second volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. This book seeks 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 discover interesting interrelationships between quite diverse mathematical topics. For students of physics fairly advanced mathematics, beyond that included in the usual curriculum in physics, is presented. The present volume concerns a detailed study of the mathematical and physical aspects of the quantum theory of light.

Condensed matter. --- Mathematical physics. --- Quantum field theory. --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Calculus --- Electricity & Magnetism --- Quantum electrodynamics. --- Relativistic quantum field theory --- Electrodynamics, Quantum --- QED (Physics) --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Partial differential equations. --- Geometry. --- Physics. --- Analysis. --- Partial Differential Equations. --- Mathematical Methods in Physics. --- Theoretical, Mathematical and Computational Physics. --- Functional Analysis. --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Quantum field theory --- Schwinger action principle --- Global analysis (Mathematics). --- Differential equations, partial. --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Euclid's Elements --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Physical mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- 517.1 Mathematical analysis --- Mathematical analysis