Waves and Compressible Flow

John R. Ockendon

ISBN 10: 1441923357 / ISBN 13: 9781441923356

Published by Springer New York, Springer US, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Mathematics is playing an ever more important role in the physical and biol- ical sciences, provoking a blurring of boundaries between scienti c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Contents The starred sections are self-contained and may be omitted at a rst reading.

Seller Inventory # 9781441923356

Bibliographic Details

• Title: Waves and Compressible Flow
• Publisher: Springer New York, Springer US
• Publication Date: 2010
• Language: English
• ISBN 10: 1441923357
• ISBN 13: 9781441923356
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 12D millimeters 235 millimeters width by 155 millimeters height by 12 millimeters depth
• Weight: 312 grams

About this title

Synopsis

This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools. Throughout, the aim is to enable physical intuition and analytical thinking to reinforce each other in a way that is easy to understand.

From the Back Cover

 

This book aims to give readers a broad mathematical basis for modeling and understanding the wide range of wave phenomena encountered in modern applications, especially in gasdynamics. The material originated from a coarse that has been taught at Oxford University for many years. It is a development of  Inviscid Fluid Flows, by H. Ockendon and A. B. Tayler (Springer, 1983), which has been retitled and completely rewritten to reflect current research interests. In particular, a more comprehensive collection of models is used to illustrate the underpinning mathematical methodologies. These methodologies have been expanded to include the basic ideas of hyperbolic differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how wave phenomena in other areas such as electromagnetism and solid mechanics can be treated using similar techniques.

Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences.