This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The...
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic...
Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary...
In the past decade, category theory has widened its scope and now interĀ acts with many areas of mathematics. This book develops some of the interactions...
A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a...
Stochastic Filtering Theory uses probability tools to estimate unobservable stochastic processes that arise in many applied fields including communication...
Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing). Interdisciplinary focus with hands...
This book evolved from a course at our university for beginning graduate stu dents in mathematics-particularly students who intended to specialize in ap plied...
Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an...
Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The...