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On Generalized Solutions To The Wave Equation In Canonical Form


On Generalized Solutions To The Wave Equation In Canonical Form
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On Generalized Solutions To The Wave Equation In Canonical Form


On Generalized Solutions To The Wave Equation In Canonical Form
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Author : Victor Dévoué
language : en
Publisher:
Release Date : 2007

On Generalized Solutions To The Wave Equation In Canonical Form written by Victor Dévoué and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.




On Generalized Solutions To The Wave Equation In Canonical Forms


On Generalized Solutions To The Wave Equation In Canonical Forms
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Author : Victor Dévoué
language : en
Publisher:
Release Date : 2007

On Generalized Solutions To The Wave Equation In Canonical Forms written by Victor Dévoué and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.




An Introduction To Partial Differential Equations


An Introduction To Partial Differential Equations
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Author : Yehuda Pinchover
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-12

An Introduction To Partial Differential Equations written by Yehuda Pinchover and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-12 with Mathematics categories.


A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students whilst extended solution sets are available to lecturers from [email protected].



Exact Solutions Of Relativistic Wave Equations


Exact Solutions Of Relativistic Wave Equations
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Author : V.G. Bagrov
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-02-28

Exact Solutions Of Relativistic Wave Equations written by V.G. Bagrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-28 with Science categories.


'Et moi * .... si favait su comment en revenir. One service mathematics bllS rendered the je n'y serais point aile.' human race. It hal put common sense back Jules Verne where it bdongs, 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 Iinearities 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'etre of this series.



Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis


Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis
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Author : Dieter Guicking
language : en
Publisher: World Scientific
Release Date : 2001-07-31

Acoustic Interactions With Submerged Elastic Structures Part Iii Acoustic Propagation And Scattering Wavelets And Time Frequency Analysis written by Dieter Guicking and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-31 with Science categories.


The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.



Handbook Of Linear Partial Differential Equations For Engineers And Scientists


Handbook Of Linear Partial Differential Equations For Engineers And Scientists
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2015-12-23

Handbook Of Linear Partial Differential Equations For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.


This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.



An Elementary Course On Partial Differential Equations


An Elementary Course On Partial Differential Equations
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Author : Aftab Alam
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-05

An Elementary Course On Partial Differential Equations written by Aftab Alam and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-05 with Mathematics categories.


Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their historical backgrounds, theoretical rigour, and geometric significance. The book is divided into three parts. It starts with basic topics like ordinary differential equations, multivariable calculus, and geometry. This is followed by important techniques to solve certain types of partial differential equations. The last part is devoted to first, second, and higher-order PDEs. The chapters have been arranged to help students develop their knowledge gradually and systematically. Each method is discussed through theoretical descriptions in the form of theorems followed by illustrative problems to help the readers. Finally, numerous solved examples and practice problems helps the student learn to apply this knowledge.



Advanced Calculus For Mathematical Modeling In Engineering And Physics


Advanced Calculus For Mathematical Modeling In Engineering And Physics
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Author : David Stapleton
language : en
Publisher: Elsevier
Release Date : 2024-06-20

Advanced Calculus For Mathematical Modeling In Engineering And Physics written by David Stapleton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-20 with Mathematics categories.


Advanced Calculus for Mathematical Modeling in Engineering and Physics introduces the principles and methods of advanced calculus for mathematical modeling, through a balance of theory and application using a state space approach with elementary functional analysis. This framework facilitates a deeper understanding of the nature of mathematical models and of the behavior of their solutions. The work provides a variety of advanced calculus models for mathematical, physical science, and engineering audiences, with discussion of how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script, in recognition of the rising importance of associated numerical models. - Adopts a state space/functional analysis approach to advanced calculus-based models to provide a better understanding of the development of models and the behaviors of their solutions - Uniquely includes discrete analogies to calculus-based models, as well as the derivation of many advanced calculus models of physics and engineering– instead of only seeking solutions to the models - Offers online teaching support for qualified instructors (for selected solutions) and study materials for students (MATLAB/Octave scripts)



Partial Differential Equations Of Mathematical Physics And Integral Equations


Partial Differential Equations Of Mathematical Physics And Integral Equations
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Author : Ronald B. Guenther
language : en
Publisher: Courier Corporation
Release Date : 2012-09-19

Partial Differential Equations Of Mathematical Physics And Integral Equations written by Ronald B. Guenther and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-19 with Mathematics categories.


Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more. 1988 edition.



Nuclear Science Abstracts


Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1974

Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Nuclear energy categories.