The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Thoroughly updated... Læs mere
This user-friendly textbook offers an introduction to complex analysis. Unlike other textbooks, it follows Weierstrass' approach, and includes several elegant proofs that were recently... Læs mere
Many mathematicians today believe mathematical works from past centuries are inaccessible, not useful, or both. This book demonstrates that... Læs mere
Recent years have seen a flurry of advances in Fourier restriction theory, with significant applications in number theory, PDEs and geometric analysis.... Læs mere
Arising from a real analysis course given by the author, this textbook is an ideal rigorous undergraduate treatment of the subject. The exposition is concise and to the point,... Læs mere
This book covers the spectral theory of Toeplitz forms and Wiener-Hopf integral operators and their applications in harmonic and functional analysis. With exercises and... Læs mere
This is the first of three volumes that provide a full and detailed account of all those elements of real and complex... Læs mere
This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures.... Læs mere
This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real... Læs mere
This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation,... Læs mere
Focuses on the underlying mathematics necessary to use Sage efficiently and is illustrated with concrete examples. Part I is accessible to high school and undergraduate students and Parts II, III, and IV are suitable for graduate students, teachers, and researchers.
Provides basic, essential knowledge of some of the tools of real analysis: the Hardy-Littlewood maximal operator, the Calderon-Zygmund theory, the Littlewood-Paley... Læs mere