Complex analysis, complex variables

A world model: economies, trade, migration, security and development aid.

A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject Written 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.

Modern Real and Complex Analysis Thorough, well-written, and encyclopedic in its coverage, this textoffers a lucid presentation of all the topics essential to graduatestudy in analysis.

This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.

An introduction to complex variables that caters for undergraduate students in applied mathematics, science, and engineering.

Demonstrates how complexity theory and statistical mechanics help define the language groups and model the language dynamics.

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

This user-friendly textbook follows Weierstrass'' approach to offer a self-contained introduction to complex analysis.

A complete introduction to recent advances in preprocessing analysis, or kernelization, with extensive examples using a single data set.

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

Provides an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science.

Provides an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science.

A complete introduction to recent advances in preprocessing analysis, or kernelization, with extensive examples using a single data set.

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.