Studying Somewhat Basic Mathematics and Physics books

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A 13-year-old student, currently studying Edexcel Mathematics at Higher Plus and IGCSE Science, seeks recommendations for physics and mathematics books to enhance their skills ahead of Christmas. They express ambition and a desire to excel in mathematics, despite not yet studying physics. Suggestions include "How to Ace Calculus," which offers a foundational understanding of calculus, and books featuring high school-level competition problems to develop problem-solving skills. The emphasis is on the importance of honing problem-solving abilities over merely learning specific subjects, with a recommendation to consult teachers for additional book suggestions.
Aeolus
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hello, I'm 13 years old but i skipped a few years so i am a bit ahead of the normal schedule however I'm not yet at calculus and that kind of stuff, however Christmas is approaching! this means of course good physics and mathematics books the only problem is finding the right ones. I'm currently studying the Edexcel Mathematics at Higher Plus level and Science (though unfortunately not started physics just yet, but i want to know now instead of later!) at IGCSE level (could not choose higher or anything like that). My teachers say i have shown great talent and natural skill in mathematics but i want to become excellent at it instead of just good. I am quite ambitious so don't take me lightly. Help me get some good books for christmas please :)

Cheers
 
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How to Ace Calculus: the streetwise guide

If you are interested in calculus, that book is a real easy read... gives a nice basic foundation of Calculus.
 
I suggest that you get one or more books that contain problems from competitions at, say, the high school level. Your teachers might be able to recommend suitable books. The https://www.amazon.com/s/ref=nb_sb_...ontest+problem+book&x=0&y=0&tag=pfamazon01-20 series provides challenging problems with solutions. You can look at these books on Amazon to see whether they appeal to you. Developing your problem-solving skills is much more important (IMO) than learning specific subjects.
 
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