Introduction to Green`s Functions in Physics, K.A.I.L. Wijewardena Gamalath

Автор: Friedel Hartmann
Название: Green`s Functions and Finite Elements
ISBN: 3642429238 ISBN-13(EAN): 9783642429231
Издательство: Springer
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Цена: 113180.00 T
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Описание: This book shows how Finite Elements fulfill the strategy of Green`s functions, helping the reader to better assess solutions of standard programs and to find the optimal model of a given problem. Covers discretization error and "goal oriented refinement."

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Bengt Fornberg, Cecile Piret
Название: Complex Variables and Analytic Functions: An Illustrated Introduction
ISBN: 1611975972 ISBN-13(EAN): 9781611975970
Издательство: Mare Nostrum (Eurospan)
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Цена: 72730.00 T
Наличие на складе: Нет в наличии.
Описание: At almost all academic institutions worldwide, complex variables and analytic functions are utilized in courses on applied mathematics, physics, engineering, and other related subjects. For most students, formulas alone do not provide a sufficient introduction to this widely taught material, yet illustrations of functions are sparse in current books on the topic. This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts, including techniques for analytic continuation and discussions of elliptic functions and of Wiener–Hopf methods. It also presents current advances in research, highlighting the subject’s active and fascinating frontier.The primary audience for this textbook is undergraduate students taking an introductory course on complex variables and analytic functions. It is also geared toward graduate students taking a second semester course on these topics, engineers and physicists who use complex variables in their work, and students and researchers at any level who want a reference book on the subject.

Автор: Eleftherios N. Economou
Название: Green`s Functions in Quantum Physics
ISBN: 3642066917 ISBN-13(EAN): 9783642066917
Издательство: Springer
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Цена: 149060.00 T
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Описание: Green's Functions in Mathematical Physics.- Time-Independent Green's Functions.- Time-Dependent Green's Functions.- Green's Functions in One-Body Quantum Problems.- Physical Significance of G. Application to the Free-Particle Case.- Green's Functions and Perturbation Theory.- Green's Functions for Tight-Binding Hamiltonians.- Single Impurity Scattering.- Two or More Impurities; Disordered Systems.- Electrical Conductivity and Green's Functions.- Localization, Transport, and Green's Functions.- Green's Functions in Many-Body Systems.- Definitions.- Properties and Use of the Green's Functions.- Calculational Methods for g.- Applications.

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: Yuri A. Melnikov, Max Y. Melnikov
Название: Green`s Functions: Construction and Applications
ISBN: 311025302X ISBN-13(EAN): 9783110253023
Издательство: Walter de Gruyter
Цена: 161100.00 T
Наличие на складе: Невозможна поставка.
Описание: Green's functions represent one of the classical and widely used issues in the area of differential equations. This monograph is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented by the classical heat equation and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics. The book is attractive for practical needs: It contains many easily computable or computer friendly representations of Green's functions,includes all the standard Green's functions andmany novel ones, and provides innovative and new approaches that might lead to Green's functions. The book is a useful source for everyone who is studying or working in the fields of science, finance, or engineering that involve practical solution of partial differential equations.

Автор: Kazumi Watanabe
Название: Integral Transform Techniques for Green`s Function
ISBN: 3319345877 ISBN-13(EAN): 9783319345871
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book describes mathematical techniques for integral transforms in a detailed but concise manner. Further, an exact closed form Green`s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

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: Kazumi Watanabe
Название: Integral Transform Techniques for Green`s Function
ISBN: 3319174541 ISBN-13(EAN): 9783319174549
Издательство: Springer
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Цена: 121890.00 T
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Описание: This book describes mathematical techniques for integral transforms in a detailed but concise manner. Further, an exact closed form Green`s function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

Автор: Gunning, R.C.
Название: Introduction to Holomorphic Functions of Several Variables, Volume II
ISBN: 0367450798 ISBN-13(EAN): 9780367450793
Издательство: Taylor&Francis
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Цена: 63280.00 T
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Описание: This book introduces the reader to a wide range of topics in the theory of holomorphic functions of several variables, with fairly complete proofs. It reviews the relevant properties of subharmonic functions and discusses the basic properties of plurisubharmonic functions.

Автор: Curtiss, J. H.
Название: Introduction to Functions of a Complex Variable
ISBN: 0367452065 ISBN-13(EAN): 9780367452063
Издательство: Taylor&Francis
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Цена: 63280.00 T
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Описание: This book includes information on elementary general topology, the Cauchy Integral Theorem and concepts of homology and homotopy in their application to the Cauchy theory. It is intended for an introductory course in complex analysis at the first-year graduate and advanced undergraduate level.

Автор: Viola
Название: An Introduction to Special Functions
ISBN: 3319413449 ISBN-13(EAN): 9783319413440
Издательство: Springer
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Цена: 53100.00 T
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Описание: The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable tools in 'higher calculus' and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.