A Mathematical Introduction to Fluid Mechanics
β Scribed by Alexandre J. Chorin, Jerrold E. Marsden (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 1993
- Tongue
- English
- Leaves
- 183
- Series
- Texts in Applied Mathematics 4
- Edition
- 3
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clasΒ sical techniques of applied mathematics. This renewal of interest, bothin research and teaching, 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 Ievel 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 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 Mathematical Seiences (AMS) series, which will focus on advanced textbooks and research Ievel monographs. Preface This book is based on a one-term coursein fluid mechanics originally taught in the Department of Mathematics of the U niversity of California, Berkeley, during the spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approximation procedures.
β¦ Table of Contents
Front Matter....Pages N1-xi
The Equations of Motion....Pages 1-46
Potential Flow and Slightly Viscous Flow....Pages 47-101
Gas Flow in One Dimension....Pages 103-161
Back Matter....Pages 163-171
β¦ Subjects
Theoretical, Mathematical and Computational Physics; Theoretical and Applied Mechanics; Fluid- and Aerodynamics
π SIMILAR VOLUMES
<p>Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the clasΒ sical techniques of applied mathematics. This renewal of interest, bothin r
<span>A presentation of some of the basic ideas of fluid mechanics in a mathematically attractive manner. The text illustrates the physical background and motivation for some constructions used in recent mathematical and numerical work on the Navier- Stokes equations and on hyperbolic systems, so as
The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for some constructions that have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperboli