Is One Textbook Enough for Self-Studying Undergraduate Physics?

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SUMMARY

Self-studying undergraduate physics requires more than one textbook, particularly for mastering the necessary mathematics. While "Mathematical Methods in the Physical Sciences" by Boas is a valuable resource, it is essential to first grasp calculus through a dedicated textbook like Stewart's. The discussion emphasizes that foundational knowledge in calculus, differential equations, and linear algebra is crucial for effectively understanding physics concepts. Relying solely on a single mathematical methods textbook is insufficient for comprehensive learning.

PREREQUISITES
  • Understanding of calculus, preferably through Stewart's Calculus textbook.
  • Familiarity with differential equations, which can be clarified through dedicated resources.
  • Knowledge of linear algebra concepts to support mathematical understanding in physics.
  • Basic physics concepts to contextualize mathematical applications in physical sciences.
NEXT STEPS
  • Study Stewart's Calculus to build a solid foundation in calculus principles.
  • Explore Boas' "Mathematical Methods in the Physical Sciences" for mathematical applications in physics.
  • Learn differential equations using a specialized textbook to deepen understanding of dynamic systems.
  • Investigate linear algebra techniques to enhance problem-solving skills in physics contexts.
USEFUL FOR

Students and self-learners in physics, aspiring physicists, and educators seeking to understand the mathematical foundations necessary for undergraduate physics studies.

m.gigantic
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Can Someone learn all mathematics required for undergraduate physics from only one textbook (mathematical methods in physics texts ) prior to knowing anything in physics especially if he want to self study ? What are the advantages and disadvantages of this method? If I have superficial knowledge in calculus , Can I only read it in a mathematical methods textbook ( I have Riley , Hobson and Bence book which include a chapter on elementary calculus )? Or should I read a calculus book at the level of Stewart book for example ?
 
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m.gigantic said:
Can Someone learn all mathematics required for undergraduate physics from only one textbook (mathematical methods in physics texts ) prior to knowing anything in physics especially if he want to self study ?

All of undergraduate physics? No. Well... maybe if it was a really big book.
 
Probably not one book, but you can follow the standard curriculum set in a uni:

First would be a calculus book, like Stewart's.

Second maybe Boas' Mathematical Methods in the Physical Sciences. I think the second edition you can get super cheap.

Anything you don't understand in Boas you can get clarification in a Diff EQ, Calc, or a Linear Algebra book.
 

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