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＜電子ブック＞
A Mathematical Introduction to Fluid Mechanics / by Alexandre J. Chorin, Jerrold E. Marsden
(Texts in Applied Mathematics. ISSN:21969949 ; 4)

版	3rd ed. 1993.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1993
本文言語	英語
大きさ	XII, 172 p : online resource
著者標目	*Chorin, Alexandre J author Marsden, Jerrold E author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Mechanics, Applied LCSH:Continuum mechanics FREE:Theoretical, Mathematical and Computational Physics FREE:Engineering Mechanics FREE:Continuum Mechanics
一般注記	Preface -- 1. The Equations of Motion: 1.1. Euler's Equations. 1.2. Rotation and Vorticity. 1.3. The Navier-Stokes Equations -- 2. Potential Flow and Slightly Viscous Flow: 2.1. Potential Flow. 2.2. Boundary Layers. 2.3. Vortex Sheets. 2.4. Remarks on Stability and Bifurcation -- 3. Gas Flow in One Dimension: 3.1. Characteristics. 3.2. Shocks. 3.3. The Riemann Problem. 3.4. Combustion Waves 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 clas­ 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, whichwill 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-0883-9

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