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Author : J. E. Chappelear
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (31 download)
Download or read book On the Theory of the Highest Waves written by J. E. Chappelear and published by . This book was released on 1959 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. B. CHAPPELEAR
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book ON THE THEORY OF THE HIGHEST WAVES. written by J. B. CHAPPELEAR and published by . This book was released on 1959 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Knobel
Publisher : American Mathematical Soc.
ISBN 13 : 0821820397
Total Pages : 212 pages
Book Rating : 4.8/5 (218 download)
Download or read book An Introduction to the Mathematical Theory of Waves written by Roger Knobel and published by American Mathematical Soc.. This book was released on 2000 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : William Thomson Baron Kelvin
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical and Physical Papers written by William Thomson Baron Kelvin and published by . This book was released on 1884 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vassily Babich
Publisher : CRC Press
ISBN 13 : 1315314754
Total Pages : 286 pages
Book Rating : 4.3/5 (153 download)
Download or read book Elastic Waves written by Vassily Babich and published by CRC Press. This book was released on 2018-04-09 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.
Author : M. S. Longuet-Higgins
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (86 download)
Download or read book Theory of the Almost-highest Wave written by M. S. Longuet-Higgins and published by . This book was released on 1977 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas J. Bridges
Publisher : Cambridge University Press
ISBN 13 : 1107565561
Total Pages : 299 pages
Book Rating : 4.1/5 (75 download)
Download or read book Lectures on the Theory of Water Waves written by Thomas J. Bridges and published by Cambridge University Press. This book was released on 2016-02-04 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A range of experts contribute introductory-level lectures on active topics in the theory of water waves.
Author : Hisashi Okamoto
Publisher : World Scientific
ISBN 13 : 9789810244507
Total Pages : 248 pages
Book Rating : 4.2/5 (445 download)
Download or read book The Mathematical Theory of Permanent Progressive Water-waves written by Hisashi Okamoto and published by World Scientific. This book was released on 2001 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Massimo Franceschetti
Publisher : Cambridge University Press
ISBN 13 : 1107022312
Total Pages : 477 pages
Book Rating : 4.1/5 (7 download)
Download or read book Wave Theory of Information written by Massimo Franceschetti and published by Cambridge University Press. This book was released on 2017-11-30 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expert guide to the relationship between information theory and the physics of wave propagation, covering stochastic and deterministic approaches, engineering applications, and the universal physical limits of radiation. It is an ideal reference for researchers and graduate students in electrical engineering, physics, and applied mathematics.
Author : Robin Stanley Johnson
Publisher : Cambridge University Press
ISBN 13 : 9780521598323
Total Pages : 468 pages
Book Rating : 4.5/5 (983 download)
Download or read book A Modern Introduction to the Mathematical Theory of Water Waves written by Robin Stanley Johnson and published by Cambridge University Press. This book was released on 1997-10-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers classical and modern problems in linear and non-linear water-wave theory.
Author : J. E. Chappelear
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 (121 download)
Download or read book The Theory of Waves of Finite Height written by J. E. Chappelear and published by . This book was released on 1956 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
ISBN 13 : 364200251X
Total Pages : 700 pages
Book Rating : 4.6/5 (42 download)
Download or read book Partial Differential Equations and Solitary Waves Theory written by Abdul-Majid Wazwaz and published by Springer Science & Business Media. This book was released on 2010-05-28 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Partial Differential Equations and Solitary Waves Theory" is a self-contained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Well-selected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota’s bilinear method or the tanh-coth method. A self-contained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multi-soliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA.
Author : Fedor I. Fedorov
Publisher : Springer Science & Business Media
ISBN 13 : 1475712758
Total Pages : 377 pages
Book Rating : 4.4/5 (757 download)
Download or read book Theory of Elastic Waves in Crystals written by Fedor I. Fedorov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The translation into English of Academician Fedorov's ex cellent treatise on elastic wave propagation in solids has come at an opportune time. His systematic exposition of all aspects of this field is most lucid and straightforward. The author has gone to considerable pains to develop in his mathematical background a consistent tensor framework which acts as a unifying motif through out the various aspects of the subject. In many respects his approach will appear quite novel as his treatment introduces several concepts and parameters previously unfamiliar to the literature of the West. Extensive tables in the final chapters illustrate the application of these ideas to the exist ing body of experimental data. The book is both extensive and comprehensive in al1 phases of the subject. Workers in the fields of ultrasonic propagation and elastic properties will find this treatise of great interest and direct concern. H. B. Huntington Rensselaer Polytechnic Institute Troy, New York November 1967 v Preface to the American Edition In preparing this edition I have corrected various misprints and errors appearing in the Russian edition, but I have also incorpo rated some substantial changes and additions, the latter representing some results I and my colleagues have recently obtained and pub_ lished in Russian journals. For example, in section 32 I have added a general derivation of the equation for the seetion of the wave surface by a symmetry plane for cubic, hexagonal, tetragonal, and orthorhombic crystals.
Author : Peter L. Monkmeyer
Publisher :
ISBN 13 :
Total Pages : 37 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Higher Order Theory for Deep Water Waves written by Peter L. Monkmeyer and published by . This book was released on 1966 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical problem of describing the characteristics of deep water waves of finite amplitude is considered. The method of analysis initially follows that of Nekrasov, but differs in that a non-linear algebraic equation is derived. This equation is solved to the third, fifth and fifteenth order by means of a digital computer and the data is presented in tabular form. Expressions for the wave speed and wave shape, predicted by the analysis, are compared with the results obtained by Stokes. The highest wave in water is also discussed. (Author).
Author : James Johnston Stoker
Publisher : Courier Dover Publications
ISBN 13 : 0486839923
Total Pages : 593 pages
Book Rating : 4.4/5 (868 download)
Download or read book Water Waves: The Mathematical Theory with Applications written by James Johnston Stoker and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Marco Brambilla
Publisher : Oxford University Press
ISBN 13 : 9780198559566
Total Pages : 658 pages
Book Rating : 4.5/5 (595 download)
Download or read book Kinetic Theory of Plasma Waves written by Marco Brambilla and published by Oxford University Press. This book was released on 1998 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the propagation and absorption of high frequency waves in plasmas. The text collects in a structured and self-contained way the basic knowledge on the broad and varied behavior of plasma waves, adopting the microscopic kinetic description of the plasma as unifying principle. The internal coherence of the theory is explicitly stressed, and interesting physical phenomena peculiar to plasmas are discussed in detail, including collisionless damping of waves, the development of stochasticity in the interactions of charged particles with electromagnetic waves, and nonlinear interactions between waves. The most common and useful approximations used in solving practical problems are derived as special cases from the more general kinetic approach, thereby clarifying their meaning and domain of applicability. This exposition should be useful to plasma physicists both as an introduction and a reference to this field of research.
Author : Thomas Jefferson Jackson See
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (1 download)
Download or read book Electrodynamics Wave-theory of Physical Forces written by Thomas Jefferson Jackson See and published by . This book was released on 1922 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
