Intro Math The Best Textbook for a Good Understanding of Mathematics

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A user seeking to bridge the gap between high school mathematics and university-level studies in mathematics and physics is looking for an up-to-date textbook that covers essential topics for 1st-2nd year university courses. They have a background in basic calculus and A-level mathematics but need a comprehensive resource to prepare for their upcoming studies. Recommendations include "Mathematical Methods in the Physical Sciences" by Mary L. Boas, which is frequently suggested for its clarity and relevance to physics. Additionally, Arfken's book is noted for those seeking a more advanced resource. The discussion emphasizes the importance of finding a textbook that effectively lays out necessary mathematical concepts for aspiring physics students.
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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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