Green`s Functions with Applications, Duffy, Dean G.

Автор: Yuri A. Melnikov; Volodymyr N. Borodin
Название: Green`s Functions
ISBN: 3319572423 ISBN-13(EAN): 9783319572420
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.

Автор: Vladimir Maz`ya; Alexander Movchan; Michael Nieves
Название: Green`s Kernels and Meso-Scale Approximations in Perforated Domains
ISBN: 3319003569 ISBN-13(EAN): 9783319003566
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Part I: Green's functions in singularly perturbed domains: Uniform asymptotic formulae for Green's functions for the Laplacian in domains with small perforations.- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green's kernels.- Green's function for the Dirichlet boundary value problem in a domain with several inclusions.- Numerical simulations based on the asymptotic approximations.- Other examples of asymptotic approximations of Green's functions in singularly perturbed domains.- Part II: Green's tensors for vector elasticity in bodies with small defects: Green's tensor for the Dirichlet boundary value problem in a domain with a single inclusion.- Green's tensor in bodies with multiple rigid inclusions.- Green's tensor for the mixed boundary value problem in a domain with a small hole.- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems.- Mixed boundary value problems in multiply-perforated domains.

Автор: Mickens
Название: Generalized Trigonometric and Hyperbolic Functions
ISBN: 1138333018 ISBN-13(EAN): 9781138333017
Издательство: Taylor&Francis
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Цена: 163330.00 T
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Описание: The aim of this book is to highlight, to those in the area of generalized trigonometric functions, of an alternative path to the creation and analysis of these classes of functions.

Автор: Luna-Elizarrarбs M. Elena
Название: Bicomplex Holomorphic Functions
ISBN: 3319248669 ISBN-13(EAN): 9783319248660
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Introduction.- 1.The Bicomplex Numbers.- 2.Algebraic Structures of the Set of Bicomplex Numbers.- 3.Geometry and Trigonometric Representations of Bicomplex.- 4.Lines and curves in BC.- 5.Limits and Continuity.- 6.Elementary Bicomplex Functions.- 7.Bicomplex Derivability and Differentiability.- 8.Some properties of bicomplex holomorphic functions.- 9.Second order complex and hyperbolic differential operators.- 10.Sequences and series of bicomplex functions.- 11.Integral formulas and theorems.- Bibliography.

Автор: Christensen
Название: Functions, spaces, and expansions
ISBN: 0817649794 ISBN-13(EAN): 9780817649791
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering.

Автор: Rother, Tom
Название: Green`s functions in classical physics
ISBN: 3319524364 ISBN-13(EAN): 9783319524368
Издательство: Springer
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Цена: 41920.00 T
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This book presents the Green's function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green's function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green's function formalism.

In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green's functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book.

Автор: Karsten Balzer; Michael Bonitz
Название: Nonequilibrium Green`s Functions Approach to Inhomogeneous Systems
ISBN: 364235081X ISBN-13(EAN): 9783642350818
Издательство: Springer
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Цена: 32560.00 T
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Описание: This research monograph provides a pedagogical and self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, up to and including a survey of recent breakthroughs pioneered by the authors and other groups.

Автор: Kythe, Prem K.
Название: Green`s Functions and Linear Differential Equations
ISBN: 1439840083 ISBN-13(EAN): 9781439840085
Издательство: Taylor&Francis
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Цена: 148010.00 T
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Автор: Melnikov Yuri A., Borodin Volodymyr N.
Название: Green`s Functions: Potential Fields on Surfaces
ISBN: 3319861115 ISBN-13(EAN): 9783319861111
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.

Автор: Horing, Norman J. Morgenstern (emeritus Professor, Department Of Physics And Engineering Physics, Stevens Institute Of Technology, Hoboken, Usa)
Название: Quantum statistical field theory
ISBN: 0198791941 ISBN-13(EAN): 9780198791942
Издательство: Oxford Academ
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Цена: 95040.00 T
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Описание: The methods of coupled quantum field theory, which have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics, are at the core of this book.

Автор: Zolfaghari, Behrouz,
Название: Statistical trend analysis of physically unclonable functions :
ISBN: 036775455X ISBN-13(EAN): 9780367754556
Издательство: Taylor&Francis
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Цена: 51030.00 T
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Описание: Statistical Trend Analysis of Physically Unclonable Functions first presents a review on cryptographic hardware and hardware-assisted cryptography. Afterwards, the authors present a combined survey and research work on PUFs using a systematic approach.

Автор: Pilipovic Steven Et Al
Название: Asymptotic Behavior Of Generalized Functions
ISBN: 9814366846 ISBN-13(EAN): 9789814366847
Издательство: World Scientific Publishing
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Цена: 100320.00 T
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Описание: The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions.