Number Systems: A Path into Rigorous Mathematics 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.

The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author’s motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems.

Features

Approachable for first year undergraduates, but still of interest to more advanced students and postgraduates
Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof
Draws attention to connections with other areas of mathematics
Plenty of exercises for students, both straightforward problems and more in-depth investigations
Introduces many concepts that are required in more advanced topics in mathematics

New to the second edition

Complete solutions to all exercises, and hints for the in-depth investigations
Extensive changes to chapters 4 and 5, including defining integral domains as distinct from commutative rings, a more complete discussion of irreducibles, primes and unique factorisation, and more topics in elementary number theory
A completely revised chapter 8, giving a more coherent account of quadratic rings and their unique (or non-unique) factorisation properties
A thorough correction of typos and errors across all chapters
Updates to the bibliography

Informazioni sull?autore

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

We carry a comprehensive range of out of print and rare books.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Condizioni di vendita e spedizione

Condizioni di vendita

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Diritto di recesso

Condizioni di spedizione

All books securely packaged. Some books ship from Ireland.

Tariffe di spedizione nazionale per U.S.A.

Tariffe di spedizione nazionale per U.S.A.
Quantit� dell?ordine	Da 14 a 20 giorni lavorativi	Da 13 a 14 giorni lavorativi
Primo articolo	EUR 8.97	EUR 17.93

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.