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Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials

by Barry Simon

This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon...


Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers

by Dan Rockmore

For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history...


Fourier Analysis: An Introduction

by Elias M. Stein & Rami Shakarchi

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis....


Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin

by Lawrence Weinstein & John A. Adam

Guesstimation is a book that unlocks the power of approximation--it's popular mathematics rounded to the nearest power of ten! The ability to estimate is an important skill in daily life. More and more leading...