I need a fluid mechanics textbook

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SUMMARY

The discussion centers on the search for a modern fluid mechanics textbook suitable for an Astronomy major, emphasizing the need for recent mathematical advancements in the field. The user initially considered Landau's book but was advised that it does not incorporate the latest developments in fluid mechanics. Participants suggest that while Landau/Lifshitz volume 6 is highly regarded, it may still lack contemporary mathematical techniques. The user seeks a textbook that effectively integrates Tensor Analysis and is relevant to their major.

PREREQUISITES
  • Understanding of Tensor Analysis
  • Familiarity with fluid mechanics principles
  • Knowledge of mathematical physics
  • Basic concepts in Astronomy
NEXT STEPS
  • Research modern fluid mechanics textbooks that incorporate recent mathematical advancements
  • Explore Tensor Analysis applications in fluid dynamics
  • Investigate the latest editions of Landau/Lifshitz series for updates
  • Look into university-recommended textbooks for fluid mechanics in Astronomy
USEFUL FOR

Astronomy students, physics majors, educators in fluid mechanics, and anyone seeking to understand the intersection of modern mathematics and fluid dynamics.

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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