Complex analysis, complex variables

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.

A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

This second volume of two presents analytic equivalents to the Riemann hypothesis.

This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

This book presents introductions to the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers.

This book presents introductions to the essential mathematical aspects of complexity science, suitable for advanced undergraduate/masters-level students and researchers.

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

Provides a complete description of representation theorems with direct proofs for both classes of Hardy spaces.

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

Original research and expert surveys on Riemann surfaces.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi–Grothendieck theory of dessins d''enfants.

Why is Google Analytics 4 the most modern data model available for digital marketing analytics?

Why is Google Analytics 4 the most modern data model available for digital marketing analytics?

This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail.

This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups.

Offers an exact, non-asymptotic approach to studying large-scale features of finite networks that arise in real applications.

This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications.

This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications.

Fractional calculus is used to model many real-life situations from science and engineering.

Fractional calculus is used to model many real-life situations from science and engineering.

The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications.

The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications.

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids.

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids.

Bringing together two fundamental texts from Frederic Pham's research on singular integrals, the first part of this book focuses on topological and geometrical aspects while the second explains the analytic approach.

This book provides an introduction to complex analysis in several variables.

Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals.

Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis.

Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz's proof of the isoperimetric inequality using Fourier series.

One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings.

In 1932 Norbert Wiener gave a series of lectures on Fourier analysis at the Univer- sity of Cambridge.

It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana- lytic Functions.

Since its emergence as an important research area in the early 1980s, the topic of wavelets has undergone tremendous development on both theoretical and applied fronts.