Simon Rubinstein-Salzedo Books

Targeting high-school students transitioning to proof-based mathematics, this textbook focuses on developing skills in writing and understanding mathematical proofs. It explores commonly used proof techniques across various mathematical fields, particularly number theory, combinatorics, and analysis. Beyond mechanics, it introduces engaging mathematical concepts, enriching students' understanding while honing their proof-writing abilities.

Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology. This book assumes no background in abstract algebra or real analysis, and the material from those subjects is presented as needed in the text.