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So I am in the 8th grade and I have completed algebra 1. Next year, I will be taking geometry and algebra 2. I would like any good book recommendations that teach geometry. Something that is perfect for beginners, but is still quite challenging and thorough.

Thanks!

J. W. Tanner
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2 Answers2

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Last year, i was fully obsessed with the book "Eulcidean Geometry in Mathematical Olympiads" by Evan Chen.

For olympiad aspirants, its truly one of the best books you can find. And yes, you can find a free pdf, and for that you need to email me at [email protected]

It starts from the very basics, and increases its level and also contain lots exercises, which shoukd be good for one olympiad aspirant. So i highly recommed this book.

Personally, this book induced in me a 'temporary' love for geometry :D

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I'd recommend any of these, approximately in decreasing order of difficulty (though they're all for beginners):

  • A School Geometry by Forder. Highly instructive problems. The level of rigor and difficulty increases considerably as the book goes on.

  • Basic Geometry by Birkhoff and Beatley. An axiomatic approach, but with a simplified axiom system that allows you to get to harder (i.e., less intuitively obvious) material faster than in other treatments.

  • Geometry by Lang and Murrow. The first author was a mathematician and a prolific textbook writer. The focus is on familiarizing the reader with geometric facts much more than on the deductive system, introducing proofs gently. Uses coordinates wherever this simplifies the treatment.