Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics PDF Author: Stefan Bergman
Publisher: Courier Corporation
ISBN: 0486445534
Category : Mathematics
Languages : en
Pages : 450

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Book Description
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics PDF Author: Stefan Bergman
Publisher: Courier Corporation
ISBN: 0486445534
Category : Mathematics
Languages : en
Pages : 450

Get Book Here

Book Description
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Kernel Functions and Elliptic Differential Equations in Mathematical Physics PDF Author: Stefan Bergman
Publisher:
ISBN:
Category :
Languages : en
Pages : 432

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Book Description


Kernel Functions and Differential Equations

Kernel Functions and Differential Equations PDF Author:
Publisher: Academic Press
ISBN: 008087312X
Category : Mathematics
Languages : en
Pages : 447

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Book Description
Kernel Functions and Differential Equations

Transformations, Transmutations, and Kernel Functions, Volume II

Transformations, Transmutations, and Kernel Functions, Volume II PDF Author: H Begehr
Publisher: CRC Press
ISBN: 1000951510
Category : Mathematics
Languages : en
Pages : 286

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Book Description
Complex analytical methods are a powerful tool for special partial differential equations and systems. To make these methods applicable for a wider class, transformations and transmutations are used.

The Bergman Kernel and Related Topics

The Bergman Kernel and Related Topics PDF Author: Kengo Hirachi
Publisher: Springer Nature
ISBN: 981999506X
Category :
Languages : en
Pages : 372

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Book Description


Introduction to the Theory of Algebraic Numbers and Fuctions

Introduction to the Theory of Algebraic Numbers and Fuctions PDF Author:
Publisher: Academic Press
ISBN: 0080873359
Category : Mathematics
Languages : en
Pages : 341

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Book Description
Introduction to the Theory of Algebraic Numbers and Fuctions

Hypercomplex Analysis: New Perspectives and Applications

Hypercomplex Analysis: New Perspectives and Applications PDF Author: Swanhild Bernstein
Publisher: Springer
ISBN: 3319087711
Category : Mathematics
Languages : en
Pages : 228

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Book Description
Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions, Clifford analysis which relies on Clifford algebras, and generalizations of complex variables to higher dimensions such as split-complex variables. This book includes a selection of papers presented at the session on quaternionic and hypercomplex analysis at the ISAAC conference 2013 in Krakow, Poland. The topics covered represent new perspectives and current trends in hypercomplex analysis and applications to mathematical physics, image analysis and processing, and mechanics.

Handbook of Complex Analysis

Handbook of Complex Analysis PDF Author: Reiner Kuhnau
Publisher: Elsevier
ISBN: 0080495176
Category : Mathematics
Languages : en
Pages : 876

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Book Description
Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Spectral Theory of Random Matrices

Spectral Theory of Random Matrices PDF Author: Vyacheslav L. Girko
Publisher: Academic Press
ISBN: 0080873618
Category : Computers
Languages : en
Pages : 568

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Book Description
Spectral Theory of Random Matrices

Applied and Computational Complex Analysis, Volume 3

Applied and Computational Complex Analysis, Volume 3 PDF Author: Peter Henrici
Publisher: John Wiley & Sons
ISBN: 9780471589860
Category : Mathematics
Languages : en
Pages : 660

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Book Description
Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.