Explorations in Number Theory : Commuting through the Numberverse

Language: English

Published by Springer, Palgrave Macmillan, 2022

3030989305 / 9783030989309

Series: Book 166 of 170 - Undergraduate Texts in Mathematics

  • Hardcover
  • New
See all details

Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

5-star seller

AbeBooks seller since August 14, 2006

View this seller's items
Hardcover

Condition: New

£ 51.96

£ 54.94 shipping 
Ships from Germany to U.S.A.

Quantity: 4 available

Add to basket

Item description from seller

Druck auf Anfrage Neuware - Printed after ordering - This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structures as they discover the key concepts of elementary number theory. Inquiry-based learning (IBL) appears throughout the chapters, allowing students to develop insights for upcoming sections while simultaneously strengthening their understanding of previously covered topics.The text is organized around three core themes: the notion of what a 'number' is, and the premise that it takes familiarity with a large variety of number systems to fully explore number theory; the use of Diophantine equations as catalysts for introducing and developing structural ideas; and the role of abstract algebra in number theory, in particular the extent to which it provides the Fundamental Theorem of Arithmetic for various new number systems. Other aspects of modern number theory - including the study of elliptic curves, the analogs between integer and polynomial arithmetic, p-adic arithmetic, and relationships between the spectra of primes in various rings - are included in smaller but persistent threads woven through chapters and exercise sets.Each chapter concludes with exercises organized in four categories: Calculations and Informal Proofs, Formal Proofs, Computation and Experimentation, and General Number Theory Awareness. IBL 'Exploration' worksheets appear in many sections, some of which involve numerical investigations. To assist students who may not have experience with programming languages, Python worksheets are available on the book's website. The final chapter provides five additional IBL explorations that reinforce and expand what students have learned, and can be used as starting points for independent projects. The topics covered in these explorations are public key cryptography, Lagrange's four-square theorem, units and Pell's Equation, various cases of the solution to Fermat's Last Theorem, and a peek into other deeper mysteries of algebraic number theory.Students should have a basic familiarity with complex numbers, matrix algebra, vector spaces, and proof techniques, as well as a spirit of adventure to explore the 'numberverse.'.

Seller Inventory # 9783030989309

Title
Explorations in Number Theory : Commuting through the Numberverse
Author
Cam McLeman
Publisher
Springer, Palgrave Macmillan
Publication year
2022
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3030989305
ISBN 13
9783030989309
Item weight
817 grams
Dimensions
241x160x26 mm
Series
Book 166 of 170: Undergraduate Texts in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

Shipping rates from Germany to U.S.A.

Item30 to 40 business days7 to 14 business days
First item£ 54.94£ 63.51
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Payment methods

VisaMastercardAmerican ExpressApple PayGoogle Pay
Bank Wire Transfer
Check
Paypal

Store description

Das Unternehmen AHA-BUCH GmbH: Seit der Gründung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisgünstig wie möglich ihren Bücherwunsch zu erfüllen. Unsere Firma beschäftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine Wünsche! Auf über 3700 m2 Fläche haben wir über 100.000 Bücher, Modernes Antiquariat und Spiele auf Lager.

Specialty

Kinderbücher & Kinderhör Casetten, German Books, Software, Natur & Tiere, Ratgeber, Sachbücher, Englische Bücher, Medizin & Gesundheit, Universität & Studium

Seller's business information

AHA-BUCH GmbH

Garlebsen 48
Einbeck, Germany 37574