Author: H. Levine Publisher: Elsevier ISBN: 0444601953 Category : Science Languages : en Pages : 515
Book Description
Unidirectional Wave Motions provides a comprehensive discussion of the formulations and their consequent elaborations which have found demonstrable value in wave analysis. The deliberate focus on unidirectional waves permits a relatively simple mathematical development, without leaving significant gaps in methodology and capability. The book is organized into three parts. The first part deals with the particulars of individual wave equations; the geometry or kinematics of wave forms; and general matters bearing on the transport of energy and momentum as well as dispersion or frequency sensitivity. The second part focuses on aspects of wave generation by localized and extended sources. The third part examines the effects of interaction between specified primary waves and medium irregularities (e.g., obstacles, inclusions, or local variations in the material parameters). Information about these irregularities or scatterers, ranging from microscopic to terrestrial scales, may be gleaned through the attendant phenomena of reflection, refraction, and diffraction, which are fundamental to wave theory.
Author: J. Billingham Publisher: Cambridge University Press ISBN: 1316583910 Category : Mathematics Languages : en Pages : 476
Book Description
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: Karl F. Graff Publisher: Courier Corporation ISBN: 0486139573 Category : Science Languages : en Pages : 690
Book Description
Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.
Author: Erich Zauderer Publisher: John Wiley & Sons ISBN: 1118031407 Category : Mathematics Languages : en Pages : 968
Book Description
This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial differential equations (PDEs). The author provides all the theory and tools necessary to solve problems via exact, approximate, and numerical methods. The Third Edition retains all the hallmarks of its previous editions, including an emphasis on practical applications, clear writing style and logical organization, and extensive use of real-world examples. Among the new and revised material, the book features: * A new section at the end of each original chapter, exhibiting the use of specially constructed Maple procedures that solve PDEs via many of the methods presented in the chapters. The results can be evaluated numerically or displayed graphically. * Two new chapters that present finite difference and finite element methods for the solution of PDEs. Newly constructed Maple procedures are provided and used to carry out each of these methods. All the numerical results can be displayed graphically. * A related FTP site that includes all the Maple code used in the text. * New exercises in each chapter, and answers to many of the exercises are provided via the FTP site. A supplementary Instructor's Solutions Manual is available. The book begins with a demonstration of how the three basic types of equations-parabolic, hyperbolic, and elliptic-can be derived from random walk models. It then covers an exceptionally broad range of topics, including questions of stability, analysis of singularities, transform methods, Green's functions, and perturbation and asymptotic treatments. Approximation methods for simplifying complicated problems and solutions are described, and linear and nonlinear problems not easily solved by standard methods are examined in depth. Examples from the fields of engineering and physical sciences are used liberally throughout the text to help illustrate how theory and techniques are applied to actual problems. With its extensive use of examples and exercises, this text is recommended for advanced undergraduates and graduate students in engineering, science, and applied mathematics, as well as professionals in any of these fields. It is possible to use the text, as in the past, without use of the new Maple material.
Author: Mike R. Leeder Publisher: John Wiley & Sons ISBN: 1444311409 Category : Science Languages : en Pages : 621
Book Description
Sedimentology is a core discipline of earth and environmental sciences. It enquires the origins, transport and deposition of mineral sediment on the Earth's surface. The subject is a link between positive effects arising from the building of relief by tectonics and the negative action of denudation in drainage catchments and tectonic subsidence in sedimentary basins. The author addresses the principles of the subject, emphasising the advantages of a general science approach and the importance of understanding modern processes. Sedimentology and Sedimentary Basins is not an encyclopaedia, but attempts to stimulate interdisciplinary thought across the whole subject area and related disciplines. The book has been designed to meet the needs of earth and environmental science undergraduates.
Author: M.R. Leeder Publisher: Springer Science & Business Media ISBN: 9400959869 Category : Science Languages : en Pages : 355
Book Description
The origin, dispersal, deposition and burial of natural sediment grains is the central concern of sedimentology. The subject is truly inter disciplinary, commands the attention of Earth scientists, is of consider able interest to fluid dynamicists and civil engineers, and it finds widespread practical applications in industry. Sedimentology may be approached from two viewpoints: a descrip tive approach, as exemplified by traditional petrography and facies analysis, and a quantitative approach through the physical and chemical sciences. Both approaches are complementary and must be used in tandem if the recent remarkable progress in the field is to be sustained. This text aims to introduce such a combined approach to senior undergraduate students, graduate students and to interested professional Earth scientists. Thus the many descriptive diagrams in the text are counterbalanced by the use of basic physical and chemical reasoning through equations. I have tried to construct a text that follows logically on from the origin of sediment grains through fluid flow, transport, deposition and diagenesis (the change from sediment to rock). The text has been written assuming that some basic previous instruction has been given in the Earth sciences and in general physics and chemistry. Certain important derivations are given in appendices. I have avoided advanced mathematical treatment since it is my opinion that recogni tion of the basic physical or chemical basis to a problem is more important to the student than the formal mathematical reduction of poorly gathered data. As T. H.
Author: H. Levine
Author: William L. Quirin
Author: J. Billingham
Author: G. R. Baldock
Author: Karl F. Graff
Author: Erich Zauderer
Author: Charles Alfred Coulson
Author: Mike R. Leeder
Author: M.R. Leeder
Author: