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  • Complex Variables

    Introduction and Applications

    Series Book 35 - Cambridge Texts in Applied Mathematics
    Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in ... Read more

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  • Special Functions

    A Graduate Text

    Series Book 126 - Cambridge Studies in Advanced Mathematics
    The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The ... Read more

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  • Fractals in Probability and Analysis

    Series Book 162 - Cambridge Studies in Advanced Mathematics
    This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman ... Read more

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  • Excursions in Harmonic Analysis, Volume 3

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals ... Read more

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  • Variable Lebesgue Spaces

    Foundations and Harmonic Analysis

    Series series Mathematics and Statistics (R0)
    This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial ... Read more

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  • Classical and Multilinear Harmonic Analysis: Volume 2

    Series Book 138 - Cambridge Studies in Advanced Mathematics
    This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert ... Read more

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  • New Trends in Applied Harmonic Analysis

    Sparse Representations, Compressed Sensing, and Multifractal Analysis

    Series series Mathematics and Statistics (R0)
    This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through ... Read more

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  • Handbook of Complex Analysis

    Edited by Reiner Kuhnau ...
    Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings ... Read more

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  • The Real and the Complex: A History of Analysis in the 19th Century

    by Jeremy Gray ...
    Series series Mathematics and Statistics (R0)
    This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass.This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in ... Read more

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  • Complex Analysis

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    A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subjectWritten with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and ... Read more

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  • Methods of Fourier Analysis and Approximation Theory

    Series series Mathematics and Statistics (R0)
    Different facets of interplay between harmonic analysis and approximation theory are covered in this volume. The topics included are Fourier analysis, function spaces, optimization theory, partial differential equations, and their links to modern developments in the approximation theory. The articles of this collection were originated from two events. The first event took place during the 9th ... Read more

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  • Excursions in Harmonic Analysis, Volume 1

    The February Fourier Talks at the Norbert Wiener Center

    Series series Mathematics and Statistics (R0)
    The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at ... Read more

    $89.09 USD