How to Think About Abstract Algebra

How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory.

I'd very strongly recommend it to undergraduates studying maths, Sixth formers about to study maths, and anyone who did a maths degree a while ago and wants to revisit groups, rings and fields. I also recommend that any first year pure maths lecturers reading this should add this book to their course's reading list.

Auteur
Lara Alcock is a Reader in Mathematics Education at Loughborough University. She collaborates with colleagues, PhD students and project students to conduct research on mathematical thinking and learning, specializing in reasoning among undergraduate mathematics students and professional mathematicians. She is author of two previous research-informed study guides for undergraduate students: How to Study for a Mathematics Degree and How to Think about Analysis. She also authored the popular mathematics book Mathematics Rebooted: A Fresh Approach to Understanding.

Texte du rabat

How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory.

Contenu

• 1: What is Abstract Algebra?

• 2: Axioms and Denitions

• 3: Theorems and Proofs

• 4: Studying Abstract Algebra

• 5: Binary Operations

• 6: Groups and Subgroups

• 7: Quotient Groups

• 8: Isomorphisms and Homomorphisms

• 9: Rings

• References