The Best Textbook for a Good Understanding of Mathematics

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SUMMARY

The discussion centers on finding an appropriate mathematics textbook for students transitioning from high school to university-level studies, particularly in the context of physics. Participants recommend "Mathematical Methods in the Physical Sciences" by Mary L. Boas as a foundational text, suitable for covering essential topics required for 1st-2nd year university courses. Additionally, for more advanced studies, "Mathematical Methods for Physicists" by George B. Arfken is suggested. Both texts are recognized for their clarity and relevance to physics applications.

PREREQUISITES
  • Basic understanding of calculus concepts
  • Familiarity with high school mathematics
  • Interest in bridging the gap between high school and university mathematics
  • Desire to apply mathematical methods in physics
NEXT STEPS
  • Research "Mathematical Methods in the Physical Sciences" by Mary L. Boas
  • Explore "Mathematical Methods for Physicists" by George B. Arfken
  • Study additional resources on calculus and linear algebra
  • Look into online courses or tutorials that cover university-level mathematics
USEFUL FOR

This discussion is beneficial for prospective university students in mathematics and physics, educators seeking textbook recommendations, and anyone looking to strengthen their mathematical foundation for scientific applications.

CRNS
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Hi all,

I'm new here and have been studying Physics in my spare time for a couple of years now, but I always just seem to get by in the area of mathematics. Forgive me if I'm looking for something that doesn't exist or on the other hand is very easy to find as I'm not familiar with any of the current textbooks and what is good at the moment.

What I'm looking for is (with a view to be starting a university course in mathematics and physics quite soon) an up to date mathematics textbook that will cover all the topics that are required for 1st-2nd year university level studies and bridge the gap between high school maths and university maths. Preferably one that is geared towards physics as well.

I have a high school education in mathematics with some things I've picked up over my time doing physics but what I need is a book that lays it all out in front of me so I can work through all the topics I should know for that level at university.

Cheers and thanks in advance for any help
 
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Hi Greg,

Sorry I should have mentioned yeah I did basic calculus in high school, I'm not sure what the equivalent is in the US but I got A+ in A level maths in the UK but never took it further.

Cheers
 
I second the Boas book. At a more advanced level Arfken's book is also used.
 

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