How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.
✔ Author(s): Lara Alcock
✔ Title: How to Think About Abstract Algebra
✔ Rating : 4.5 out of 5 base on (93 reviews)
✔ ISBN-10: 0198843380
✔ ISBN-13: 9780198843382
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about How to Think About Abstract Algebra by Lara Alcock
Aileen Menzie
The world created in this book was unlike anything I've ever encountered. The author's imagination knows no bounds, and I was completely mesmerized by the fantastical setting.
Polly Hurlbutt
The rich historical context of the book added a layer of depth that I found fascinating. It was like stepping back in time and experiencing history firsthand.
Rosa Bax
This book is a work of art. The language, the imagery, the symbolism - everything came together beautifully to create a memorable reading experience.
