Introductory Book on Group Theory for HS freshman?

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SUMMARY

The discussion centers on finding an introductory book on group theory suitable for high school freshmen. A specific recommendation is made for the book "A Book of Abstract Algebra" by Charles Pinter, which is praised for its short chapters and engaging problems. Another suggestion is "Contemporary Abstract Algebra" by Joseph Gallian, noted for its depth and coverage of advanced topics such as the insolvability of the quintic. Both texts are deemed appropriate for students with a solid foundation in mathematics and an interest in advanced concepts.

PREREQUISITES
  • Understanding of basic algebraic concepts
  • Familiarity with mathematical proofs
  • Basic knowledge of symmetry and transformations
  • Readiness for calculus-level mathematics
NEXT STEPS
  • Explore "A Book of Abstract Algebra" by Charles Pinter for foundational concepts
  • Study "Contemporary Abstract Algebra" by Joseph Gallian for advanced topics
  • Investigate online resources for supplementary materials on group theory
  • Practice problem-solving in group theory to reinforce understanding
USEFUL FOR

High school students, mathematics educators, and parents seeking to introduce advanced mathematical concepts to young learners.

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I am looking for an introductory book on group theory for my son who is a high school freshman. He has a good grasp of the basics of mathematics and is ready to take calculus classes. He has a very strong intuitive grasp of symmetry and transformations, so I thought that he may be ready to be exposed to group theory. (I know I did when I was in high school, when I had a wonderful math teacher who was working on his PhD thesis while he was teaching and took the time to take the best kids in his class aside and teach them advanced math topics).

Are there any recommendations for good introductory group theory books? We are going through some of the online resources, but I thought a formal textbook treatment may also be useful.

Thanks in advance!
 
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