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 to interest students in this at once beautiful and difficult subject. This third edition incorporates a number of updates and revisions, while retaining the spirit and scope of the original book.
A Mathematical Introduction to Fluid Mechanics: v. 4
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From the reviews: "… The book contains some of the basic ideas of fluid mechanics in a mathematically attractive manner...has the very advantage of providing the solution of the differential equations using the new and modern techniques...the material is very well presented both the mathematical arguments as well as the physical input." Physicalia
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13 of 14 people found the following review helpful:
5.0 out of 5 stars
A clean and fast presenation of fluid mechanics.,
By A Customer
This review is from: A Mathematical Introduction to Fluid Mechanics (Texts in Applied Mathematics) (v. 4) (Hardcover)
An ideal book for the applied mathematician and mathematical physicist. This little text is deceptive in scope, covering the constitutive equations of motion, vorticity, and up through problems in gas dynamics. The book is also quite appropriate for self study, even more beneficial if studied in conjunction with G.K. Batchelor's classic text "An Introduction to Fluid Dynamics" for additional physical insight. Overall Marsden and Chorin have developed a classic introductory text.
2 of 2 people found the following review helpful:
3.0 out of 5 stars
A challenging book to the non-mathematician!,
This review is from: A Mathematical Introduction to Fluid Mechanics (Texts in Applied Mathematics) (v. 4) (Hardcover)
I would agree with the first reviewer's comments that this is an excellent book for someone with a strong advanced math background. It is a very concise mathematical treatment of fluid mechanics. I can also see why the 2nd reviewer had some issues. I would not recommend this book for an undergrad class as it does not have very strong verbal descriptions of the mathematical formulas which would make understanding somewhat difficult to the non-mathematician, but I would not trust his judgment on accuracy. This book is very good for the graduate engineer that wants to challenge his understanding of fluid mechanics to a more mathematical understanding. If you are not confident in your math skills however, you may want to look elsewhere.
5.0 out of 5 stars
good book, good seller,
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This review is from: A mathematical introduction to fluid mechanics, Second Edition (Texts in applied mathematics) (Hardcover)
The book is excellent for a mathematician or a engineering student with good math basis. You do not need to know a lot of advance math in order to follow the book. However I think more formalism should be included in some essential parts of the book and it also should include a few more examples.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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combustion waves, jth vortex, detonation branch, slightly viscous flow, deflagration branch, piston path, incompressible potential flow, centered rarefaction wave, centered wave, vortex sheets, entropy condition, circulation theorem, transport theorem, boundary layer equations, ideal flow, isentropic flow Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gas Flow, The Equations of Motion, One Dimension, Potential Flow, Boundary Layers, Pure Appl, Some Remarks, Cambridge Univ, Rational Mech, Compound Wave Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
combustion waves, jth vortex, detonation branch, slightly viscous flow, deflagration branch, piston path, incompressible potential flow, centered rarefaction wave, centered wave, vortex sheets, entropy condition, circulation theorem, transport theorem, boundary layer equations, ideal flow, isentropic flow Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gas Flow, The Equations of Motion, One Dimension, Potential Flow, Boundary Layers, Pure Appl, Some Remarks, Cambridge Univ, Rational Mech, Compound Wave Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
100
books
cite this book:
See all 100 books citing this book
- Computational Modeling in Biological Fluid Dynamics (The IMA Volumes in Mathematics and its Applications) by Lisa J. Fauci on page 70, page 140, and page 185
- Partial Differential Equations: Basic Theory (Texts in Applied Mathematics) by Michael E. Taylor in Front Matter, and page 174
- Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (Texts in Applied Mathematics) by Jerrold E. Marsden in Front Matter, and Back Matter
- Handbook of Mathematical Fluid Dynamics, Volume 1 by S. Friedlander on page 331, and page 79
- Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics) by Stephen Wiggins in Front Matter, and Back Matter
See all 100 books citing this book
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