GCSE higher / A-Level introductory books

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SUMMARY

The discussion centers on recommendations for introductory mathematics books suitable for GCSE higher and A-Level students. Key suggestions include "Basic Mathematics" by Serge Lang and "What is Mathematics" by Richard Courant, both praised for their clear explanations and problem sets. Participants emphasize the importance of persistence and utilizing resources effectively to overcome challenges in learning mathematics. The conversation highlights the emotional journey of learning math, balancing frustration with the beauty of the subject.

PREREQUISITES
  • Basic understanding of mathematical concepts
  • Familiarity with problem-solving techniques
  • Ability to engage with text-based and equation-based materials
  • Motivation to learn and practice mathematics
NEXT STEPS
  • Explore "Basic Mathematics" by Serge Lang for foundational concepts
  • Read "What is Mathematics" by Richard Courant for deeper insights
  • Practice problem-solving on a whiteboard to enhance learning
  • Join online forums or study groups to discuss mathematical concepts
USEFUL FOR

Students preparing for GCSE higher and A-Level mathematics, self-learners seeking structured resources, and anyone looking to build a strong foundation in mathematics.

uperkurk
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So finally after many years of avoiding it due to pure fear of the subject, I've decided I am going to learn maths no matter how hard it is for me.

The question is which book should I get? With so many out there I am looking for something with plenty of problems, a mixture of text based and your typical equation style would be nice. Also the book needs to explain the steps in a clear manner.

Any suggestions?
 
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Hey uperkurk.

I have seen quite a few members recommend Basic Mathematics by Serge Lang for people in your situation.

But aside from that, I want to encourage you to do mathematics and realize that it really is like other pursuits in that if you put in the time and effort, use your resources wisely, and follow (and seek out) others who are experienced, then you will progress and probably surprise yourself in the process.

Good luck with it all!
 
Use What is Mathematics by Courant along with Basic Mathematics by Lang. Have a great begin.
 
The serge lang book looks awesome. There seems to be a lot in there I have never learnt. Just a quick question, a lot of people say math is beautiful, but for those of you who do math as a hobby, do you ever become frustrated that you can't really apply it to much? Aside from the problems in your next book.
 
Just purchased the basic mathematics book by serge lang, also got a whiteboard and some pens just because I think i'll be making plenty of mistakes haha. Also it allows me to write freely without having to worry about not fitting it on all 1 page ect.

Thanks for the advice :) I've made the first step, let's hope it goes well from here on
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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