Geometry books for pre college level including olymiad level

In summary, for elementary and pre-college level Euclidean geometry, some suggested books are Elements, Advanced Euclidean Geometry by Roger A. Johnson, Kiselev's Geometry, Coxeter's Geometry Revisited, Coxeter's Introduction to Geometry, and Edwin Moise's books. Each of these books provides a solid introduction to the subject and offers different levels of detail and depth.
  • #1
simpy
18
0
please suggest the books 'must do' in eucleodian geometry for elementary and pre college level.
Is doing 'Advanced Eucleodian Geometry' by Roger A.johnson enough?
 
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  • #2
To learn Euclidean geometry, the best book would probably be Elements. If you can get your hands on those older volumes, it would really be nice.

Roger Johnson is good, here are some more suggestions

0) Kiselev's Geometry
Very basic, if you need a solid introduction to the subject.
http://www.sumizdat.org/

1) Coxeter - Geometry revisited
https://www.amazon.com/dp/0883856190/?tag=pfamazon01-20

2) Coxeter - Introduction to geometry. (I'm doing this one right now)
Very detailed and has much more than Euclidean
https://www.amazon.com/dp/0471504580/?tag=pfamazon01-20

3) Edwin Moise
https://www.amazon.com/dp/0201508672/?tag=pfamazon01-20
 
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  • #3
thanks...
 

1. What is the purpose of geometry books for pre-college level and olympiad level?

The purpose of these books is to provide a comprehensive understanding of geometry concepts and problem-solving skills to students at the pre-college and olympiad level. These books are designed to prepare students for higher level math courses and competitions.

2. What topics are typically covered in geometry books for pre-college level and olympiad level?

These books cover a wide range of topics including basic geometric principles, angles, triangles, polygons, circles, transformations, and coordinate geometry. They also often include more advanced topics such as trigonometry, geometric proofs, and constructions.

3. Are these books suitable for self-study or do they require a teacher's guidance?

These books can be used for self-study, but it is recommended to have a teacher or tutor to guide the student and provide additional explanations and practice problems. A teacher can also help students with any difficulties they may encounter while studying the material.

4. Do geometry books for pre-college level and olympiad level include exercises and practice problems?

Yes, these books typically include a variety of exercises and practice problems to help students apply the concepts they have learned. These problems range from basic to challenging, allowing students to test their understanding and improve their problem-solving skills.

5. How do geometry books for pre-college level and olympiad level differ from regular geometry textbooks?

Geometry books for pre-college level and olympiad level are designed to be more challenging and rigorous than regular geometry textbooks. They often include more advanced topics, as well as a greater emphasis on problem-solving and critical thinking skills. These books also prepare students for math competitions and olympiads, rather than just covering the standard curriculum.

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