Mathematics applied to Physics; textbooks.

AI Thread Summary
A physics undergraduate is seeking a textbook that effectively demonstrates the application of calculus in physics. The focus is on finding a math textbook that provides practical examples related to physical laws and quantities, or a physics textbook that clarifies the mathematical processes involved in deriving equations. Several recommendations are made, including "Mathematical Methods in the Physical Sciences" by Boas, "Schaum's Advanced Maths for Engineers and Scientists" by Spiegel, and "Mathematical Methods for Physics and Engineering" by Hobson, Riley, and Bence. The latter is particularly highlighted, with users expressing positive experiences with both it and Boas, suggesting that either would be a solid choice for the intended study.
bert2002
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Hello all.

I'm looking for a good textbook about how the mathematics, particularly calculus is applied in physics. I've done some calculus as i am a physics undergraduate student but i want to better learn the math and see how it is applied in physics as i find that a lot more interesting.

What i am essentially looking for is a math textbook, geared mostly towards calculus that gives examples of how to apply the rules of math in physics. I understand the rules are generally exactly the same but it is much nicer when the math is applied to laws and quantities that i recognise in Physics as it is is mostly the physics i am interested in.

Or a physics textbook that explains the mathematical steps and procedures that are taking place in deriving equations and solving problems.

Thanks
 
Physics news on Phys.org
Mathematical Methods in the Physical Sciences - Boas
Schaum's Advanced Maths for Engineers and Scientists - Spiegel
Advanced Engineering Mathematics - Kreizig
Mathematics of Physics and Chemistry -Margenau
Math Methods for Physicists - Arfken
 
Thanks for the responses.

I'm thinking about getting this textbook

http: //www.amazon.com/Mathematical-Methods-Physics-Engineering-Comprehensive/dp/0521679710/ref=tag_stp_s2_edpp_url

- Mathematical Methods for Physics and Engineering (3rd edition): A Comprehensive Guide - Hobson, Riley, Bence

Any thoughts from people who have used it ?
 
bert2002 said:
Thanks for the responses.

I'm thinking about getting this textbook

http: //www.amazon.com/Mathematical-Methods-Physics-Engineering-Comprehensive/dp/0521679710/ref=tag_stp_s2_edpp_url

- Mathematical Methods for Physics and Engineering (3rd edition): A Comprehensive Guide - Hobson, Riley, Bence

Any thoughts from people who have used it ?
I've actually primarily used Riley. I like it. Between that and Boas it really doesn't matter which you pick.
 
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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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