Book about math techniques in physics

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The discussion centers on finding a book that effectively demonstrates the application of mathematical techniques in physics, emphasizing the need for clear examples of how specific mathematical concepts are utilized in various physical problems. Participants mention "Mathematical Methods in the Physical Sciences" by Boas as a strong recommendation, noting its comprehensive coverage and good explanations of mathematical concepts. However, there is a desire for a resource that explicitly connects mathematical techniques, like Fourier series and vector calculus, to their applications in physics, such as solving the heat equation and classical electromagnetism. The conversation highlights the importance of understanding the practical relevance of mathematical methods in enhancing interest and comprehension in physics.
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Hello everyone,

Does anybody know a good book with the sole purpose of showing the use of mathematical techniques in physics?(technique by technique and with examples of real applications)
e.g.: Identity matrices are commonly used in x type of problems in physics, etc.

Like most people my interest in something is dramatically heightened when I know why I can use something for, same thing with math in physics.
 
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Boas- Mathematical Methods in the Physical Sciences.
 
Thnx. Any other ones?
 
This

https://www.amazon.com/dp/0306450364/?tag=pfamazon01-20

is by the prof who teaches the excellent Yale Physics 200 course available free on video. Don't let the crappy description on Amazon's page mislead you; it covers far more than differential calculus. Read the reviews.
 
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Thnx Brocks,

The explanation of the math seems really good in this book.
However, it does not tell you where the concepts are used for in physics.
What I am looking for is something more like a list:

Fourier series: to solve the heat equation, ...

Also the other way around:
In the field of classical electromagnetism the following math concepts/topics are extensively used: Vector calculus, complex numbers,...
 
I'm putting in a second vote for Boas. Just used it for a class this term and it was excellent!
 
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I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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