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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 Variables

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

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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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Basic Complex Analysis

Cauchy integral theorem when the contour is the boundary of a Jordan region, continued fractions, two proofs of the big Picard theorem, the;

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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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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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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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Elementary Fixed Point Theorems

principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy-Kowalevsky theorem for partial differential equations and the;

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The Cauchy Transform, Potential Theory and Conformal Mapping

The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the;

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Complex Analysis

, it follows Weierstrass' approach, stressing the importance of power series expansions instead of starting with the Cauchy integral formula;

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Selected Papers Of Masatake Kuranishi

embedding problem of Cauchy-Riemann structures. Kuranishi proved a fundamental embedding theorem in Cauchy-Riemann geometry. (iii) His work on;

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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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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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Friendly Approach To Complex Analysis, A

minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy;

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Friendly Approach To Complex Analysis, A

minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy-Riemann equations, the Cauchy;

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Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57

The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), will be forthcoming.;

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Variational Principles for Discrete Surfaces

on using analytic methods in the study of some of the fundamental results and problems of polyhedral geometry: for instance, the Cauchy;

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Ramsey Theory

1930 and Erdos and Szekeres article from 1935, while placing the various theorems in the context of T. S. Motzkin s thought on the subject;

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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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Cauchy Problem For Noneffectively Hyperbolic Operators

spaces, the Gevrey class of order 1 s 5.In this lecture, we provide a general picture of the Cauchy problem for noneffectively hyperbolic;

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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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