The Mathematical Theory Of Wave Motion

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Mathematical Theory Of Wave Motion

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Author : G. R. Baldock
language : en
Publisher:
Release Date : 1981

Mathematical Theory Of Wave Motion written by G. R. Baldock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Wave-motion, Theory of categories.

Mathematical Theory Of Wave Motion

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Author : G. R. Baldock
language : en
Publisher:
Release Date : 1981

Mathematical Theory Of Wave Motion written by G. R. Baldock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.

An Introduction To The Mathematical Theory Of Waves

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Author : Roger Knobel
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

An Introduction To The Mathematical Theory Of Waves written by Roger Knobel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

The Mathematical Theory Of Wave Motion

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Author : G. R. Baldock
language : en
Publisher:
Release Date : 1981

The Mathematical Theory Of Wave Motion written by G. R. Baldock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Wave-motion, Theory of categories.

Water Waves The Mathematical Theory With Applications

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Author : James Johnston Stoker
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17

Water Waves The Mathematical Theory With Applications written by James Johnston Stoker and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Science categories.

First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

A Treatise On The Mathematical Theory Of Elasticity

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Author :
language : en
Publisher: CUP Archive
Release Date : 1920

A Treatise On The Mathematical Theory Of Elasticity written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1920 with categories.

Foundations Of The Mathematical Theory Of Electromagnetic Waves

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Author : Carl Müller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Foundations Of The Mathematical Theory Of Electromagnetic Waves written by Carl Müller 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 2013-06-29 with Mathematics categories.

A Treatise On The Mathematical Theory Of Elasticity

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Author : Augustus Edward Hough Love
language : en
Publisher:
Release Date : 1892

A Treatise On The Mathematical Theory Of Elasticity written by Augustus Edward Hough Love and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with Elasticity categories.

An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.

A Modern Introduction To The Mathematical Theory Of Water Waves

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Author : Robin Stanley Johnson
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-28

A Modern Introduction To The Mathematical Theory Of Water Waves written by Robin Stanley Johnson 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 1997-10-28 with Mathematics categories.

This text considers classical and modern problems in linear and non-linear water-wave theory.

The Mathematical Theory Of Permanent Progressive Water Waves

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Author : Hisashi Okamoto
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-09-28

The Mathematical Theory Of Permanent Progressive Water Waves written by Hisashi Okamoto and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-28 with Mathematics categories.

This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered.The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level. Numerical experiments are reported so that any reader can re-examine the results with minimal labor: the methods used in this book are well-known and are described as clearly as possible. Thus, the reader with an elementary knowledge of numerical computation will have little difficulty in the re-examination.