Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]

Description

2012 Reprint of Volumes One and Two, 1957-1961. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. A. N. Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fi Review: A Mathematical Odyssey - While it takes some background in higher level mathematics, reading Kolmogorov’s Elements of the Theory of Functions and Functional Analysis is akin to hearing an architect describe the building of Notre Dame or a classicist discuss the Odyssey. Beginning with clear definitions, continuing with proofs of theorems and ending in meaningful results like the properties of functions that have a unique derivative or the difference between Lebesgue and Riemann integrals, Kolmogorov wrote a work that allows the collegiate mathematician to catch a glimmer of what supports a vaulted apse or the ring cycles that Homer exploits to full literary effect. It’s hard not to overstate how much pleasure a book like this can provide to the mathematically inclined. Yes, mathematics has advanced since Kolmogorov wrote this in 1957 but in terms of clarity of thought and language I believe the book to remain a classic. I only wish I could have appreciated how beautiful theoretical mathematics can be when I was in graduate school. Highly recommended to those with an intermediate background and interest in higher order mathematics. You are in for one of the great odysseys of the human intellect. Review: Excellent book - This is the masterpiece work. It should be the standard of mathematic books.