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Aeronautical Engineering/practical uses for maths in engineering

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Question
I am hoping to study aeronautical engineering at university. Can you give me precise and practical examples of the importance of requiring skills in Mathematics?
Can you recommend some background reading ?

Answer
Yes - precisely speaking, engineers must have a working knowledge of algebra, vector analysis, trig, calculus, geometry, complex variables, differential equations (ordinary and partial), matrices, set theory, probability, and statistics.  
Good luck.
Paul

Aeronautical Engineering

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Paul Soderman

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Aeronautics, Fluid Mechanics, Aeroacoustics, Noise Control, Muffler Design, Wind Tunnel Research.... I know nothing about India - do not ask about schools, jobs, application requirements, career choices, etc. for India. Please, no text message verbiage; I prefer full words in full sentences. Thanks.

Experience

38 years as research engineer at NASA

Publications
AIAA, NASA

Education/Credentials
B.S. and M.S. Aeronautical Engineering - U. of Washington Graduate work Standford U.

Awards and Honors
AIAA Associate Fellow (American Institute of Aeronautics and Astronautics)

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