Anthony Kay

Gebundenes Buch

Number Systems

A Path into Rigorous Mathematics

Beschreibung

This book aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

Autor

Anthony Kay was a Lecturer in Mathematical Sciences at Loughborough University for 32 years up to his retirement in 2020. Although his research has been in applications of mathematics, he has taught a wide range of topics in pure and applied mathematics to students at all levels, from first year to postgraduate.

Produktdetails

• Verlag: Taylor & Francis Ltd
• Seitenzahl: 318
• Erscheinungstermin: 15. September 2021
• Englisch
• Abmessung: 260mm x 183mm x 22mm
• Gewicht: 770g
• ISBN-13: 9780367180652
• ISBN-10: 0367180650
• Artikelnr.: 62231373

Rezensionen

"This is not exactly a standard elementary number theory textbook, nor is it focused only on proof-writing skills. Rather, it's a fascinating look at the properties of various number systems, beginning with the natural numbers and wending a fascinating path all the way through to a brief look at the octonions. Along the way, there's an appreciation for rigor and considerable effort dedicated to aiding the reader in thinking mathematically. With that in mind, it seems like this book would be a great choice for a transition course. Abelian groups and Dedekind cuts both make appearances, providing a possible bridge into later courses in abstract algebra or real analysis

But its appeal is not limited to prospective mathematics majors. Number Systems has the potential to serve as an excellent introduction for college students-at any level; the book grew out of a course for first-year students-to the non-computational side of our subject and to encourage them to think deeply about mathematics in a way that we'd all like to encourage. At the same time, this is also a book that holds a lot of appeal for seasoned professionals who want to revisit some ideas in a more recreational setting. It's always a pleasure to encounter familiar ideas in a novel setting, and this book does a fine job of providing that pleasure."
- Mark Bollman, MAA Reviews