A Mathematical Introduction to Fluid Mechanics

by Alexandre J. Chorin, Jerrold E. Marsden

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, 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.

Genres: Physics, Mathematics, Textbooks, Science

172 pages, Hardcover

First published April 1, 1979

Reviews

[Logan · Rating 4 out of 5]

Okay so my four star rating requires some explanation, I can completely understand the low ratings, the book is extremely unforgiving, gives as little details as possible, doesn't illuminate concepts in a very stimulating way and some errors. BUT i do believe that a positive learning experience can be had with this book if approached it in the right way and that your goals are inline with how the book is. So basically i would say that this book is not for someone who wants to have concepts explode in their mind, this book is an extreme analytical challenge that can be very rewarding if the time is spent on it. Especially if you are like me, an undergrad physics student. It either assumes you have more mathematical maturity than i have, or it purposely doesn't elaborate on things so that if forces you to bang your head on the desk until you find what your missing. Either way it's a challenging read that i would recommend if you are looking for something roughly how i describe.

[Curtis Penner · Rating 1 out of 5]

This book contained numerous typographical errors to the point where I only finish the book just to see how many I could find. The authors continuously changes up their notation, and does not explain well why the change in notation. Explanations are weak in general.

The authors did not provide a true introduction to the mathematical fluid dynamics, but instead offered an introduction to their interest in the fluid dynamics. The better part of this book was that it was thin, so I didn’t have to spend more time than necessary with it.