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Basic Complex Analysis

is devoted to basic complex analysis. It interweaves three analytic threads associated with Cauchy, Riemann, and Weierstrass, respectively. Cauchy's;

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Introduction to Functions of a Complex Variable

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their;

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Introduction to Functions of a Complex Variable

This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their;

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Complex Analysis

of complex analysis, such as the maximum principle, Liouville's theorem, and Schwarz's lemma. The book covers all the essential material on complex;

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Complex Variables

chapters examine the elementary theory and the general Cauchy theorem and its applications, including singularities, residue theory, the open;

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Complex Analysis

inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator. Contents Complex numbers and functions Cauchy's Theorem and Cauchy's;

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Cauchy and the Creation of Complex Function Theory

theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions;

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Cauchy and the Creation of Complex Function Theory

theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions;

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Mostly Surfaces

, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some;

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Measure and Probability

Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to;

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Measure and Probability

Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems and contains an entire chapter devoted to;

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The Cauchy Transform, Potential Theory and Conformal Mapping

and another two on complexity of the objects of complex analysis and improved Riemann mapping theorems. The book is suitable for pure and;

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Multidimensional Integral Representations

, Cauchy-Fantappie, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems;

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Functional Calculi

of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem;

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CR Manifolds and the Tangential Cauchy Riemann Complex

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy;

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CR Manifolds and the Tangential Cauchy-Riemann Complex

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy;

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Friendly Approach To Complex Analysis, A

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several;

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Friendly Approach To Complex Analysis, A

The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several;

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The Divergence Theorem and Sets of Finite Perimeter

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration - no generalized;

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The Divergence Theorem and Sets of Finite Perimeter

This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration - no generalized;

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Complex Integration and Cauchy's Theorem

Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a;

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Complex Analysis with Applications to Number Theory

of current interest, such as Cauchy theorems, Picard's theorems, Riemann-Zeta function, Dirichlet theorem, gamma function and harmonic functions.;

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Complex Analysis with Applications to Number Theory

of current interest, such as Cauchy theorems, Picard's theorems, Riemann-Zeta function, Dirichlet theorem, gamma function and harmonic functions.;

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The Cauchy-Riemann Complex

elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds.;

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Calculus with Complex Numbers

explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation;

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Calculus with Complex Numbers

explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation;

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Theory and Applications of Abstract Semilinear Cauchy Problems

-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This;

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