Classical I need a fluid mechanics textbook

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A sophomore majoring in Astronomy seeks recommendations for a modern textbook that effectively utilizes Tensor Analysis and incorporates recent mathematical advancements, as their current resource, Landau's book, is considered outdated. The student has completed Hassani's Mathematical Physics and courses in Real Variable Functions and Functional Analysis. They express a desire for a book that aligns with their major and acknowledges the evolving nature of mathematical techniques in fluid mechanics, noting that their tutor has indicated many new methods have emerged in the last two decades. One participant suggests that Landau/Lifshitz volume 6 is a strong resource for fluid dynamics, highlighting its relatively recent German edition from 1991, while acknowledging that other volumes in the series may not be as current.
LiD
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Hello, everyone, please forgive me for my poor English.
I'm a sophomore, major in Astronomy. I've finished Hassani's book(Mathematical Physics). And I've learned Real variable function and functional analysis (I do not know what exact name of this course)
I'd like to buy a textbook with following virtues.
1 It take full advantage of Tensor Analysis and so on, enabling me to know how powerful the mathematicians are. My teacher said Landau's book is too old to employ the achievements contributed by the mathematicians in recent years.(But he do not know which book employs them... -_-|||)
2 I don't know what is useful in Astronomy, but I want it suits my major (You can skip this if you have no interest in astronomy)
Thanks for taking your time~
 
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LiD said:
Hello, everyone, please forgive me for my poor English.
I'm a sophomore, major in Astronomy. I've finished Hassani's book(Mathematical Physics). And I've learned Real variable function and functional analysis (I do not know what exact name of this course)
I'd like to buy a textbook with following virtues.
1 It take full advantage of Tensor Analysis and so on, enabling me to know how powerful the mathematicians are. My teacher said Landau's book is too old to employ the achievements contributed by the mathematicians in recent years.(But he do not know which book employs them... -_-|||)
2 I don't know what is useful in Astronomy, but I want it suits my major (You can skip this if you have no interest in astronomy)
Thanks for taking your time~
I don't see where you need a fluid mechanics text for any of the above. Wrong thread title?
 
I need a fluid mechanics text indeed.
I bought Landau's book but my tutor said that in past 20 or more years many new mathematical skills have been found to solve the problems in fluid mechanics, which of cause, not included in Landau's book.
And I hope the book suits my major (Astronomy).
If the ideal book doesn't exists, a book used by most of universities will work.
Thx for taking your time again:)
 
I think, Landau/Lifshitz volume 6 is one of the best books on fluid dynamics ever written. It's also pretty new (at least the German edition is from 1991). This is true for the whole series (except vol. IV on Quantum Electrodynamics, which is pretty old-fashioned).
 
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