Mathematical Methods in the Physical Sciences (alternative?)

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The discussion centers on finding alternative mathematical methods books that either simplify problem-solving or provide clearer explanations of concepts. The original book mentioned, "Mathematical Methods for Physicists," is criticized for being confusing and not fully meeting the needs of students. Recommendations include looking for books that present core concepts in an accessible manner, akin to a "mathematical methods for dummies" approach, as well as those that offer clear problem-solving steps. Notable suggestions include "Mathematical Methods for Physicists" by Arfken and Weber, which is recognized for its practical application in solving physics problems. Other classic texts like Morse & Feshbach, Courant & Hilbert, and Mathews & Walker are acknowledged but noted for their complexity. Modern alternatives are also suggested, with a focus on books that balance rigor and readability for undergraduate students.
RaulTheUCSCSlug
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Is there any alternative books that teach you how to just do the problems rather than emphasizing why, and is there any books that emphasize why in an easier format? Something like a "mathematical methods for dummies" book?

This is the book I'm referring to ( https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20 ) if you are not familiar with it and I personally think that the book is not the best. I dislike it. It seems to be in between of what could be two great books. Some of the problems are really great, some explanations are great, but other times it is a bit confusing and I can't decipher what they are saying.

I guess I'm looking for two book suggestions:
1.) Simple to read through and get core concepts ("explain to me as if I was 5" type of book)
2.) A good book with problems and solutions that go through the steps very clearly with a solution

Thank you for your recommendations.

I heard a book by Arfkin is good, does anyone know the name of the book?
 
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RaulTheUCSCSlug said:
This is the book I'm referring to ( https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20 ) if you are not familiar with it and I personally think that the book is not the best.
I enjoyed that book during my undergrad. But I must admit that this book presents its content mostly in a readily-applicable-to-solve-physics-problem manner - it's a practical textbook in my opinion. The author does the derivations adjusted to how physics students will use the math to solve physical problem. Nevertheless, to me the explanations are clear and accessible as this book is largely designed for undergrads.
RaulTheUCSCSlug said:
I heard a book by Arfkin is good, does anyone know the name of the book?
Probably you mean "Mathematical Methods for Physicists" by Arfken and Weber. I heard this book is also commonly used among physics students, but I don't know to which level of college it is aligned.
 
blue_leaf77 said:
I enjoyed that book during my undergrad. But I must admit that this book presents its content mostly in a readily-applicable-to-solve-physics-problem manner - it's a practical textbook in my opinion. .

Do you have a recommendation of any other mathematical methods books that would be a bit easier to comprehend? I feel myself getting lost in the jumps boas does from explaining the basic concepts to jumping straight to certain complex ideas with little explanation.
 
RaulTheUCSCSlug said:
Do you have a recommendation of any other mathematical methods books that would be a bit easier to comprehend?
This undergraduate book is more rigorous than Boas', since you appear to be looking for a more formal treatment for the derivations.
 
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Hello Intellectuals! So far it seems to be reasonable to learn mathematics in a rigorous way by not solely considering the techniques of problem solving or the applications of a particular subject or concept. Also to truly appreciate the beauty of mathematical endeavor one need to learn the reasoning behind the origination of concepts in mathematics, so as a beginner it appears to be worthwhile to learn the highly abstract aspects of mathematics like proofs, logic, and topics in pure...

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