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A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions

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Complex Variables

Riemann mapping theorem receives a thorough treatment, along with factorization of analytic functions. As an application of many of the ideas and;

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Analytic Functions

theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced;

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Complex Analysis

properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an;

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Complex Analysis

In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy's;

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An Introduction to Fourier Analysis

together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform;

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An Introduction to Fourier Analysis

together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform;

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Cambridge Tracts in Mathematics

The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent;

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Lectures On Profinite Topics In Group Theory

book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original;

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London Mathematical Society Student Texts

book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original;

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Zeta Functions Of Reductive Groups And Their Zeros

. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from;

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Theory of Functions of a Real Variable

account of integration theory and a practical introduction to functional analysis. Prerequisites include a background in the foundations;

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Introduction to p-adic Analytic Number Theory

This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint;

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Classical Complex Analysis

Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches;

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Classical Complex Analysis

Classical Complex Analysis, available in two volumes, provides a clear, broad and solid introduction to one of the remarkable branches;

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Fundamentals of Advanced Mathematics V3

groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory;

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Dynamics of Transcendental Functions

developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric;

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Transcendental Representations with Applications to Solids and Fluids

chapters. The last chapter presents a set of detailed examples. Each chapter begins with an introduction and concludes with related topics;

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Complex Variables And Their Applications

, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites.With an emphasis on clear and careful;

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Real and Complex Analysis

This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic;

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Applied And Computational Complex Analysis

applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly;

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Functions of a Complex Variable

undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis;

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Rational Approximations and Orthogonality

authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory;

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Advanced Calculus, An Introduction To Mathematical Analysis

This book is an introduction to mathematical analysis (i.e real analysis) at a fairly elementary level. A great (unusual) emphasis is given;

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Dirichlet Series and Holomorphic Functions in High Dimensions

Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea;

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The Concept of a Riemann Surface

ideas of Riemann's theory of algebraic functions and their integrals but also to examine the related ideas and theorems with an unprecedented;

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Understanding Infinity

Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical;

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