A Good Review of Waves for E-Mag, Acoustics & Vibrations

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The discussion centers on finding a solid review of waves, particularly in preparation for studying E-Mag, acoustics, and vibrations. The user expresses a need for a stronger foundation in analyzing trigonometric functions and Fourier series, emphasizing the importance of developing intuition in wave concepts. A. P. French's "Vibrations and Waves" is considered, but its elementary approach raises concerns about depth. Suggestions include exploring MIT's online lectures and relevant chapters from Stone & Goldbart and Olver, which may provide the analytical depth desired. Howard Georgi's "The Physics of Waves" is also mentioned as a potential resource. The conversation highlights the need for accessible problem solutions and advanced wave recommendations from the Manchester University website. Overall, the focus is on finding comprehensive resources that bridge foundational knowledge with advanced applications in wave physics.
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I'm looking for a good review of Waves before I go into E-Mag, acoustics and vibrations stuff. What would be a solid book for that? I feel like I didn't have a strong foundation in analysing trigonometric functions, and a very weak base using Fourier series, especially with applications.

Right now, I'm thinking about A. P. French's Vibrations and Waves, but it seems to only go over only elementary concepts. The normal introductory physics books only seem to give equations and not go into any analytical depth, and I would like to develop some intuition with this type of stuff, especially considering how important waves are.

Any better suggestions?
 
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atyy, I like the mit lectures; they seem to be what I'm looking for. The notes don't seem bad...I'll certainly look at the relevant chapters. Though the book seems much too advanced for what I'm looking for.

George Jones, the book seems to be great! Are there solutions to the problems anywhere?
 
I was just looking at the "advanced waves" recommendations on the Manchester University website, they may suit your needs:

http://www.physics.manchester.ac.uk/undergraduate/courses/course-handbook/10_syllabuses/physics_level2/phys_20171.html
 
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I would recommend A. P. French's Vibrations and Waves as well as Waves (Berkeley Physics Course, Vol. 3) by Frank S. Crawford.
 
This thread only works as a summary from the original source: List of STEM Masterworks in Physics, Mechanics, Electrodynamics... The original thread got very long and somewhat hard to read so I have compiled the recommendations from that thread in an online (Google Drive) spreadsheet. SUMMARY Permits are granted so you can make comments on the spreadsheet but I'll initially be the only one capable of edition. This is to avoid the possibility of someone deleting everything either by mistake...
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...
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