Mathematical Methods in the Physical Sciences (alternative?)

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Discussion Overview

The discussion centers around recommendations for books on mathematical methods in the physical sciences, focusing on preferences for texts that either simplify concepts or provide clear problem-solving approaches. Participants express their experiences with specific textbooks and seek alternatives that cater to different learning styles.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses dissatisfaction with a specific book, indicating it is confusing and not the best for learning core concepts.
  • Another participant finds the same book practical for solving physics problems but acknowledges it may not be suitable for all learners.
  • There are requests for recommendations for books that explain concepts in simpler terms and those that provide clear problem-solving steps.
  • Some participants mention classic texts like Morse & Feshbach, Courant & Hilbert, and Mathews & Walker, noting they are not easy to read.
  • Modern alternatives are suggested, with links provided, but their accessibility is not universally agreed upon.
  • One participant notes a preference for a more rigorous treatment than what Boas offers, indicating a desire for formal derivations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best books, as opinions vary widely regarding the clarity and usefulness of different texts. Multiple competing views on preferred learning styles and book recommendations remain present.

Contextual Notes

Participants express varying levels of familiarity with the books mentioned, and there are indications of differing expectations regarding the balance between rigor and accessibility in mathematical methods texts.

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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