 An introduction to the mathematical theory of waves

• 196 Pages
• 0.46 MB
• English
by
American Mathematical Society, Institute for Advanced Study , Providence, R.I
Wave motion, Theo
Classifications The Physical Object Statement Roger Knobel. Series Student mathematical library -- v. 3. -- IAS/Park City mathematical subseries, Student mathematical library -- v. 3., Student mathematical library LC Classifications QA927 .K693 2000 Pagination xiv, 196 p. : Open Library OL13569061M ISBN 10 0821820397 LC Control Number 99039055 OCLC/WorldCa 41967027

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 Cited by:   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.

Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques. Next, traveling waves are covered, such as solitary waves.

An Introduction to the Mathematical Theory of Waves Roger Knobel Publication Year: ISBN ISBN Student Mathematical Library, vol.

3 This page is maintained by the An introduction to the mathematical theory of waves book. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory.

This sets the ground for a study of more modern aspects, problems that give. This is why I am ecstatic to have found such a brilliantly written book as Roger Knobel's An Introduction to the Mathematical Theory of Waves. The goal of this book is to make accessible the basic theory of partial differential equations to undergraduates who are assumed to have only completed the basic calculus sequence and preferably a course in.

The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations. Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations.

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 Cited by: Buy An Introduction to the Mathematical Theory of Waves (Student Mathematical Library) UK ed.

by Roger A. Knobel (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2). In any current course on wave propagation, it seemed essential to mention, at least, the quite amazing results being found on exact, solu- Vries equation and its solutions originated in water wave theory, this ﬁts well with the other material.

Like the other topics, the mathematical re- 1 Introduction to Nonlinear Waves 1. Chapter 1. Introduction. Humans have interacted with some form of waves for a very long time, though of course they were not known as such. Speech and sound, for example, which enabled communication among ourselves and the creation of music, date from tens of.

An Introduction to the Mathematical Theory of Waves Written for undergraduate students in mathematics, engineering, and science programs, this book provides an introduction to basic terminology and concepts found in mathematical studies of wave phenomena.

An introduction to the mathematical theory of waves. [Roger Knobel] -- "Linear and nonlinear waves are a central part of the theory of PDEs. This book begins with a description of one-dimensional waves and their visualization through computer-aided techniques.

Description An introduction to the mathematical theory of waves EPUB

Water Waves: The Mathematical Theory with Applications. Author(s): J. Stoker; About this book. 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. Virtually every classical mathematical technique appears somewhere within its confines.

Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory.

- An Introduction to the Mathematical Theory of Waves Student Mathematical Library, V 3 by Roger Knobel. You Searched For: An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) From: Seattle Goodwill (Seattle, WA, U.S.A.).

An Introduction to Acoustics S.W. Rienstra & A. Hirschberg Eindhoven University of Technology 28 Nov This is an extended and revised edition of IWDE Comments and corrections are gratefully accepted.

This ﬁle may be used and printed, but for personal or educational purposes only.

Details An introduction to the mathematical theory of waves EPUB

c S.W. Rienstra & A. Hirschberg   An Introduction to the Mathematical Theory of Waves. Written for undergraduate students in mathematics, engineering, and science programs, this book provides an introduction to basic terminology and concepts found in mathematical studies of wave s: 1.

radiation of electromagnetic waves. Partial differential equations also play a toward both their numerical analysis and the qualitative theory. This book provides an introduction to the basic properties of partial dif-ferential equations (PDEs) and to the techniques that have proved useful in too much mathematical knowledge for the File Size: 2MB.

An Introduction to the Mathematical Theory of Waves by Roger Knobel,available at Book Depository with free delivery worldwide.5/5(5). For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems.

Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave.

give an introduction to various kinds of PDE describing waves. In particular we will focus on nonlinear equations. In this chapter we introduce some basic concepts and give an overview of the contents of the lecture notes.

Linear waves Sinusoidal waves The ﬁrst encounter with the mathematical theory of waves is usually with cosine File Size: 1MB. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics.

New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals.

In order to READ Online or Download A Modern Introduction To The Mathematical Theory Of Water Waves ebooks in PDF, ePUB, Tuebl and Mobi format, you need to create a FREE account.

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An introduction to mathematical physics. This book is intended primarily as a class-book for mathematical students and as an introduction to the advanced treatises dealing with the subjects of the different chapters, but since the analysis is kept as simple as possible, It will be useful for chemists and others who wish to learn the principles of these subjects.

This book provides an introduction to the eld of optics from a physics perspective. It focuses primarily on the wave and ray descriptions of light, but also includes a brief intro-duction to the quantum description of light.

Topics covered include re ection and trans. The following Matlab project contains the source code and Matlab examples used for an introduction to the mathematical theory of waves. Written for undergraduate students in mathematics, engineering, and science programs, this book provides an introduction to basic terminology and concepts found in mathematical studies of wave phenomena.

The Elliott Wave Theory is interpreted as follows: Five waves move in the direction of the main trend, followed by three waves in a correction (totaling a move).

This move then becomes two Author: Investopedia Staff. An Introduction to Wavelet Analysis provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and application of wavelet bases.

The book develops the basic theory of wavelet bases and transforms without assuming any knowledge of Lebesgue integration or the theory of abstract Hilbert spaces.

Search the world's most comprehensive index of full-text books. My library. Books shelved as mathematical-physics: Topology, Geometry and Gauge Fields: Foundations by Gregory L. Naber, Mathematical Methods in the Physical Science.1.

Mathematical preliminaries Some classical problems in water-wave theory Weakly nonlinear dispersive waves Slow modulation of dispersive waves Epilogue. (source: Nielsen Book Data) Summary The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least years.The superﬁcial answer lies in the mathematics of wave phenomena.

Periodic behavior of any kind, one might argue, leads to similar mathematics. Perhaps this is the unifying principle. Inthisbook,Iintroduceyoutoadeeper,physicalanswertothequestions.

Themathemat-ics of waves is important, to be sure. Indeed, I devote much of the book to the.