Theory of Pseudo-analytic Functions

Theory of Pseudo-analytic Functions PDF Author: Lipman Bers
Publisher:
ISBN: 9780598887412
Category : Functional analysis
Languages : en
Pages : 187

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Book Description

Theory of Pseudo-analytic Functions

Theory of Pseudo-analytic Functions PDF Author: Lipman Bers
Publisher:
ISBN: 9780598887412
Category : Functional analysis
Languages : en
Pages : 187

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Book Description


Applied Pseudoanalytic Function Theory

Applied Pseudoanalytic Function Theory PDF Author: Vladislav V. Kravchenko
Publisher: Springer Science & Business Media
ISBN: 3034600046
Category : Mathematics
Languages : en
Pages : 179

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Book Description
Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical physics. This relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations. It is directed to undergraduates, graduate students and researchers interested in complex-analytic methods, solution techniques for equations of mathematical physics, partial and ordinary differential equations.

Review of the Theory of Pseudo-analytic Functions

Review of the Theory of Pseudo-analytic Functions PDF Author: Boele Lieuwe Jan Braaksma
Publisher:
ISBN:
Category :
Languages : en
Pages : 79

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Theory of Pseudo-Analytic Functions

Theory of Pseudo-Analytic Functions PDF Author: Lipman Bers
Publisher:
ISBN:
Category :
Languages : en
Pages : 374

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Book Description


Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type

Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type PDF Author: Samuil D. Eidelman
Publisher: Birkhäuser
ISBN: 3034878443
Category : Mathematics
Languages : en
Pages : 395

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Book Description
This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.

Analytic Pseudo-Differential Operators and their Applications

Analytic Pseudo-Differential Operators and their Applications PDF Author: Julii A. Dubinskii
Publisher: Springer Science & Business Media
ISBN: 9401132089
Category : Mathematics
Languages : en
Pages : 265

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Book Description
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aIle:' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

Analytic Functions

Analytic Functions PDF Author: Lars Valerian Ahlfors
Publisher: Princeton University Press
ISBN: 1400876702
Category : Mathematics
Languages : en
Pages : 206

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Book Description
A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations of complex analytic manifolds. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

AN ESSAY ON THE MATHEMATICAL METHODS OF THEORY OF GENERAL RELATIVITY

AN ESSAY ON THE MATHEMATICAL METHODS OF THEORY OF GENERAL RELATIVITY PDF Author: Edoardo Confalonieri
Publisher: Edoardo Confalonieri
ISBN:
Category :
Languages : en
Pages : 2233

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Book Description
The basic concepts of a method for a general integral of the Field Equations of the Theory of General Relativity are outlined. An extended and revised version is currently in preparation, and it will be uploaded as soon as ready for publication.

Selected Works of Lipman Bers

Selected Works of Lipman Bers PDF Author: Lipman Bers
Publisher: American Mathematical Soc.
ISBN: 9780821809969
Category : Mathematics
Languages : en
Pages : 648

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Book Description


An Introduction to Analytic Functions

An Introduction to Analytic Functions PDF Author: John Sheridan Mac Nerney
Publisher: Springer Nature
ISBN: 303042085X
Category : Mathematics
Languages : en
Pages : 96

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Book Description
When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult” for students to prove for themselves. Accordingly, Mac Nerney provides no proofs. What he does instead is to compose and arrange the investigation in his own unique style, so that a contextual proof is always available to the persistent student who enjoys a challenge. The central idea is to empower students by allowing them to discover and rely on their own mathematical abilities. This text may be used in a variety of settings, including: the usual classroom or seminar, but with the teacher acting mainly as a moderator while the students present their discoveries, a small-group setting in which the students present their discoveries to each other, and independent study. The Editors, William E. Kaufman (who was Mac Nerney’s last PhD student) and Ryan C. Schwiebert, have composed the original typed Work into LaTeX ; they have updated the notation, terminology, and some of the prose for modern usage, but the organization of content has been strictly preserved. About this Book, some new exercises, and an index have also been added.