Mathematical Methods in the Physical Sciences (alternative?)

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SUMMARY

The forum discussion centers on the search for alternative mathematical methods textbooks that balance clarity and problem-solving. Users express dissatisfaction with "Mathematical Methods in the Physical Sciences" by Boas, citing its confusing explanations. Recommendations include "Mathematical Methods for Physicists" by Arfken and Weber, which is noted for its practical approach, and several classic texts such as Morse & Feshbach and Courant & Hilbert. Users also seek modern alternatives that simplify complex concepts while providing rigorous derivations.

PREREQUISITES
  • Familiarity with basic mathematical concepts used in physics
  • Understanding of problem-solving techniques in physical sciences
  • Knowledge of undergraduate-level physics
  • Experience with mathematical derivations and applications
NEXT STEPS
  • Research "Mathematical Methods for Physicists" by Arfken and Weber for practical applications
  • Explore "Mathematical Methods in the Physical Sciences" by Boas for its problem-solving approach
  • Investigate modern alternatives like "Mathematical Methods for Physicists" by Fetter and Walecka
  • Review classic texts such as Morse & Feshbach for rigorous mathematical foundations
USEFUL FOR

Students and educators in physics, particularly those seeking accessible mathematical methods resources, as well as anyone looking to enhance their problem-solving skills in physical sciences.

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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