Fluid Dynamics (Applied Mathematical Sciences, 5) by Richard von Mises (PDF)

Description

In the summer of 1941 Brown University undertook a Program of Advanced Instruction and Research in Mechanics. This in fact was the precursor to the present day Division of Applied Mathematics. Certainly an outstanding feature of this program must have been the lectures in Fluid Dynamics by Professor Friedrichs and the late Professor von Mises. Their notes were prepared in mimeograph form and given a wide distribution at that time. Since their appearance these lectures have had a strong influence on teaching and research in the subject. As the reader soon learns the notes have lost none of their vitality over the years. Indeed in certain instances only in the last few years has the -field caught up with the ideas developed in the course of these lectures. Many ideas of value are still to be found in these notes and the Editors are most happy to be able to include this volume in the series. The corrections which have accumulated over the years have been incorporated, and in addition an index has been added. With these exceptions all desire to revise has been resisted. Also in this connection we are very grateful to Dr. T. H. Chong for carefully overseeing the preparation of the present manuscript.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐この本の冒頭にR.von Misesの流体力学の講義ノートをタイプしたものということが書かれてている。説明図などはロットリングでえがかれており手書きに近い印象をうけるが、返ってそれが読者の本質的な理解をたすけることになっている。本書には写真がないが、それは参考文献にあげられているS.Goldstein:Modern Developments in Fluid Dynamics,2 vols.を参照すればよいということらしい。内要は１）完全流体、２）二次元翼、３）三次元翼、４）粘性流体、５）圧縮性流体の五章からなり、基礎的な定理が天下り方式ではなく、講義風に丁寧に解説されている。複素関数の留数定理などは本書中に説明があるのでMapleなどを利用すれば高校数学の程度で十分理解が可能とおもう。

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