Complex analysis, complex variables

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions.

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

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering.

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

This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane.

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way.

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.

Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques.

This volume is part of the collaboration agreement between Springer and the ISAAC society.

Modern text examining the interplay between measure theory and Fourier analysis.

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

This book provides an introduction to the basic ideas and tools used in mathematical analysis.

This book discusses recent developments in and the latest research on mathematics, statistics and their applications.

In recent years there has been increasing interaction among various branches of mathematics.

Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entree at the intersection of two important fields of research:  complex analysis and harmonic analysis.

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics.

The book incorporates research papers and surveys written byparticipants ofan International Scientific Programme onApproximation Theory jointly supervised by Institute forConstructive Mathematics of University of South Florida atTampa, USA and the Euler International MathematicalInstituteat St.

Das Buch bietet eine vollständige Darstellung der Funktionentheorie, beginnend mit der Theorie der Riemann`schen Flächen einschließlich Uniformisierungstheorie sowie einer ausführlichen Darstellung der Theorie der kompakten Riemann`schen Flächen, Riemann-Roch`schem Satz, Abel`schem Theorem und Jacobi`schem Umkehrtheorem.

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

The present monograph is devoted to the complex theory of differential equations.

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations.

Nunmehr kann ich auch den zweiten Teil meiner Lehre von den Kettenbrüchen, der den analytischen Kettenbrüchen gewidmet ist, als Band 11 in neuer Be­ arbeitung den Fachgenossen vorlegen.

Traditionally, Sociology has identified its subject matter as a distinct set - social phenomena - that can be taken as quite different and largely disconnected from potentially relevant disciplines such as Psychology, Economics or Planetary Ecology.

A problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork.

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.

Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entree at the intersection of two important fields of research: harmonic analysis and  probability.

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

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis.

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

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis.

This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds.

About one half of the papers in this volume are based on lectures which were pre- sented at a conference at Leipzig University in August 1994, which was dedicated to Vladimir Petrovich Potapov.

The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces.

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

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.

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