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Author : Calvin Hayden Wilcox
Publisher :
ISBN 13 :
Total Pages : 494 pages
Book Rating : 4.:/5 (763 download)
Download or read book Mathematical Methods in the Theory of Wave Motion written by Calvin Hayden Wilcox and published by . This book was released on 1965 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Billingham
Publisher : Cambridge University Press
ISBN 13 : 1316583910
Total Pages : 476 pages
Book Rating : 4.3/5 (165 download)
Download or read book Wave Motion written by J. Billingham and published by Cambridge University Press. This book was released on 2001-01-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
Author : G. R. Baldock
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (318 download)
Download or read book Mathematical Theory of Wave Motion written by G. R. Baldock and published by . This book was released on 1981 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian L. Davis
Publisher : Princeton University Press
ISBN 13 : 0691223378
Total Pages : 411 pages
Book Rating : 4.6/5 (912 download)
Download or read book Mathematics of Wave Propagation written by Julian L. Davis and published by Princeton University Press. This book was released on 2021-01-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.
Author : AlexandreJ. Chorin
Publisher : Springer Science & Business Media
ISBN 13 : 1461395836
Total Pages : 345 pages
Book Rating : 4.4/5 (613 download)
Download or read book Wave Motion: Theory, Modelling, and Computation written by AlexandreJ. Chorin and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 60th birthday of Peter Lax was celebrated at Berkeley by a conference entitled Wave Motion: theory, application and computation held at the mathematical Sciences Research Institute, June 9-12, 1986. Peter Lax has made profound and essential contributions to the topics described by the title of the conference, and has also contributed in important ways to many other mathematical subjects, and as a result this conference volume dedicated to him includes research work on a variety of topics, not all clearly related to its title.
Author : R. Courant
Publisher : Trieste Publishing
ISBN 13 : 9780649716371
Total Pages : 306 pages
Book Rating : 4.7/5 (163 download)
Download or read book Supersonic Flow and Shock Waves written by R. Courant and published by Trieste Publishing. This book was released on 2017-10-04 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.
Author : Joel Franklin
Publisher : Cambridge University Press
ISBN 13 : 1108864279
Total Pages : 275 pages
Book Rating : 4.1/5 (88 download)
Download or read book Mathematical Methods for Oscillations and Waves written by Joel Franklin and published by Cambridge University Press. This book was released on 2020-03-05 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, complex variables and numerical methods are all introduced and bear relevance to a wide range of physical problems. Expanded and novel applications of these methods highlight their utility in less familiar areas, and advertise those areas that will become more important as students continue. This highlights both the utility of each method in progressing with problems of increasing complexity while also allowing students to see how a simplified problem becomes 're-complexified'. Advanced topics include nonlinear partial differential equations, and relativistic and quantum mechanical variants of problems like the harmonic oscillator. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin's treatment make it a valuable teaching resource.
Author : Arkadi Berezovski
Publisher : Springer Nature
ISBN 13 : 3030299511
Total Pages : 376 pages
Book Rating : 4.0/5 (32 download)
Download or read book Applied Wave Mathematics II written by Arkadi Berezovski and published by Springer Nature. This book was released on 2019-11-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Author : J. J. Stoker
Publisher : John Wiley & Sons
ISBN 13 : 1118031350
Total Pages : 598 pages
Book Rating : 4.1/5 (18 download)
Download or read book Water Waves written by J. J. Stoker and published by John Wiley & Sons. This book was released on 2011-08-15 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an integrated account of the mathematical hypothesis of wave motion in liquids with a free surface, subjected to gravitational and other forces. Uses both potential and linear wave equation theories, together with applications such as the Laplace and Fourier transform methods, conformal mapping and complex variable techniques in general or integral equations, methods employing a Green's function. Coverage includes fundamental hydrodynamics, waves on sloping beaches, problems involving waves in shallow water, the motion of ships and much more.
Author : C.M. Linton
Publisher : CRC Press
ISBN 13 : 1420036068
Total Pages : 317 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Mathematical Techniques for Wave/Structure Interactions written by C.M. Linton and published by CRC Press. This book was released on 2001-02-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the
Author : Trilochan Sahoo
Publisher : CRC Press
ISBN 13 : 1466506040
Total Pages : 244 pages
Book Rating : 4.4/5 (665 download)
Download or read book Mathematical Techniques for Wave Interaction with Flexible Structures written by Trilochan Sahoo and published by CRC Press. This book was released on 2012-10-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying higher order boundary conditions with the applications of the theory of ordinary and partial differential equations, Fourier analysis, and more. Features: Provides a focused mathematical treatment for gravity wave interaction with floating and submerged flexible structures Highlights solution methods for a special class of boundary value problems in wave structure interaction Introduces and expands upon differential equations and the fundamentals of wave structure interaction problems This is an ideal handbook for naval architects, ocean engineers, and geophysicists dealing with the design of floating and/or flexible marine structures. The book’s underlying mathematical tools can be easily extended to deal with physical problems in the area of acoustics, electromagnetic waves, wave propagation in elastic media, and solid‐state physics. Designed for both the classroom and independent study, Mathematical Techniques for Wave Interaction with Flexible Structures enables readers to appreciate and apply the mathematical tools of wave structure interaction research to their own work.
Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 0691148376
Total Pages : 616 pages
Book Rating : 4.6/5 (911 download)
Download or read book Rays, Waves, and Scattering written by John A. Adam and published by Princeton University Press. This book was released on 2017-05-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes. Provides a panoramic look at wave motion in many different contexts Features problems and exercises throughout Includes numerous appendixes, some on topics not often covered An ideal reference book for practitioners Can also serve as a supplemental text in classical applied mathematics, particularly wave theory and mathematical methods in physics and engineering Accessible to anyone with a strong background in ordinary differential equations, partial differential equations, and functions of a complex variable
Author : Joel Franklin
Publisher : Cambridge University Press
ISBN 13 : 1108488226
Total Pages : 275 pages
Book Rating : 4.1/5 (84 download)
Download or read book Mathematical Methods for Oscillators and Waves written by Joel Franklin and published by Cambridge University Press. This book was released on 2020-03-05 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anchored in simple physics problems, the author provides a focused introduction to mathematical methods in a structured manner.
Author : S. L. Gavrilyuk
Publisher : Springer
ISBN 13 : 3319492772
Total Pages : 149 pages
Book Rating : 4.3/5 (194 download)
Download or read book Waves in Continuous Media written by S. L. Gavrilyuk and published by Springer. This book was released on 2017-01-27 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
Author : Herbert berall
Publisher : World Scientific
ISBN 13 : 9789810229818
Total Pages : 334 pages
Book Rating : 4.2/5 (298 download)
Download or read book Wave Motion, Intelligent Structures and Nonlinear Mechanics written by Herbert berall and published by World Scientific. This book was released on 1995 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers on the subject of applied system dynamics and control written by experts in this field. It offers the reader a sampling of exciting research areas in three fast-growing branches: (i) Wave Motion (ii) Intelligent Structures (iii) Nonlinear Mechanics. The topics covered include flow instability, nonlinear mode localization autoparametric systems with pendula, and geometric stiffening in multibody dynamics. Mathematical methods include perturbation methods, modern control theory, nonlinear neural nets, and resonance scattering theory of berall-Ripoche-Maze. Applications include sound-induced structural vibrations, fiber acoustic waveguides, vibration suppression of structures, linear control of gyroscopic systems, and nonlinear control of distributed systems.This book shows how applied system dynamics and control is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.
Author : J. J. Stoker
Publisher : Forgotten Books
ISBN 13 : 9780331463378
Total Pages : 598 pages
Book Rating : 4.4/5 (633 download)
Download or read book Water Waves written by J. J. Stoker and published by Forgotten Books. This book was released on 2017-11-19 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Water Waves: The Mathematical Theory With Applications The subject of surface gravity waves has great variety whether regarded from the point of View of the types of physical problem which occur, or from the point of View of the mathematical ideas and methods needed to attack them. The physical problems range from discussion of wave motion over sloping beaches to flood waves in rivers, the motion of ships in a sea-way, free oscillations of enclosed bodies of water such as lakes and harbors, and the propagation of frontal discontinuities in the atmosphere, to mention just a few. The mathematical tools employed comprise just about the whole of the tools developed in the classical linear mathematical physics concerned with partial differential equations, as well as a good part of what has been learned about the nonlinear problems of mathe matical physics. Thus potential theory and the theory of the linear wave equation, together with such tools as conformal mapping and complex variable methods in general, the Laplace and Fourier transform techniques, methods employing a Green's function, integral equations, etc. Are used. The nonlinear problems are of both elliptic and hyperbolic type. In spite of the diversity of the material, the book, is not a collection of disconnected topics, written for specialists, and lacking unity and coherence. Instead, considerable pains have been taken to supply the fundamental background in hydrodynamics and also in some of the mathematics needed and to plan the book in order that it should be as much as possible a self - contained and readable whole. Though the contents of the book are outlined in detail below, it has some point to indicate briefly here its general plan. There are four main parts of the book. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book Wave Motion and Vibration Theory written by American Mathematical Society and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
