A Comprehensive Course in Analysis, 5 Volume Set by Barry Simon

A Comprehensive Course in Analysis #1-4

by Barry Simon

A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.

Hardcover

About the author

Barry Simon is an eminent American mathematical physicist and the IBM Professor of Mathematics and Theoretical Physics (Emeritus) at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics (particularly Schrödinger operators), including the connections to atomic and molecular physics. He has authored more than 300 publications on mathematics and physics.

More particularly, his work has focused on broad areas of mathematical physics and analysis covering: quantum field theory, statistical mechanics, Brownian motion, random matrix theory, general nonrelativistic quantum mechanics (including N-body systems and resonances), nonrelativistic quantum mechanics in electric and magnetic fields, the semi-classical limit, the singular continuous spectrum, random and ergodic Schrödinger operators, orthogonal polynomials, and non-selfadjoint spectral theory.

Dr. Simon is a fellow of the American Mathematical Society (2012), a winner of the Henri Poincaré Prize (2012), a winner of the János Bolyai International Mathematical Prize (2015), a winner of the 2016 Steele Prize for Lifetime Achievement, and a winner of the Dannie Heineman Prize for Mathematical Physics (2018).