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For example, there is a page titled 'Elementary Trigonometry' that assumes knowledge of various basic trigonometric identities that I have never encountered, such as sin(A B) = sin A cos B cos A sin B To me, simply learning a formula like this does not mean that I will be able to use it in practice I would also like to read books covering the whole syllabus of the BMO, such as combinatorics and number theory, which I haven't been taught at all.I was wondering if you guys know of any maths books that explains these areas more thoroughly or from a simpler level?Just an absolutely outstanding set of problems ranging from introductory to Olympiad level problems to challenge all types of kids looking to learn from their books.
The algebra one might be harder to get to grips with without buying the beginner one or whatever it's called as the intermediate one leaps in quite quickly.
These two books might also be worth a shout, the first being essential for practice questions with solutions provided: The Mathematical Olympiad Handbook: An Introduction to Problem Solving based on the First 32 British Mathematical Olympiads 1965-1996 A Primer for Mathematics Competitions I own two with their answer booklets.
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If you are interested in any of the online classes that accompany these books or the various problem series classes that Ao PS offers, below you can find the schedule of classes.
The counting and probability one certainly looks accessible.
These two books might also be worth a shout, the first being essential for practice questions with solutions provided: The Mathematical Olympiad Handbook: An Introduction to Problem Solving based on the First 32 British Mathematical Olympiads 1965-1996 A Primer for Mathematics Competitions I have a book called a Mathematical Olympiad Primer by Geoff Smith.
I’m working through two of Art of Problem Solving’s math books with the kids this year.
My older son is studying “Introduction to Geometry” and my younger son is studying their “Introduction to Number Theory” book. item=intro:geometry I’ve never taught any elementary math before, but the approach that Richard Rusczyk and his team take to explaining the subjects really resonates with me.
The newest Intermediate Algebra book covers topics from Algebra II and Pre Calculus. Many of the top math competitors in the country credit these books and the online classes that are offered through Ao PS that follow the books with their success.
A lot of the material found in these books is not found in conventional textbooks.