Lindsay N. Childs

eBook, PDF

A Concrete Introduction to Higher Algebra (eBook, PDF)

Beschreibung

This book is written as an introduction to higher algebra for students with a background of a year of claculus. The objective of the book is to give students enough experience in the algebraic theory of the integers and polynomials to appreciate the basic concepts of abstract algebra.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 35.03MB

Barrierefreiheit

• Text-to-Speech
• E-Mail des Verlags für Barrierefreiheitsfragen: [e-mail]
• Keine Einschränkung der Vorlesefunktionen, außer bei spezifischen Ausnahmen
• Bekannt für fehlende wesentliche Barrierefreiheitsmerkmale

Produktdetails

• Verlag: Springer US
• Seitenzahl: 522
• Erscheinungstermin: 4. Dezember 2012
• Englisch
• ISBN-13: 9781441987020
• Artikelnr.: 44043514

Rezensionen

From the reviews: "The user-friendly exposition is appropriate for the intended audience. Exercises often appear in the text at the point they are relevant, as well as at the end of the section or chapter. Hints for selected exercises are given at the end of the book. There is sufficient material for a two-semester course and various suggestions for one-semester courses are provided. Although the overall organization remains the same in the second edition¿Changes include the following: greater emphasis on finite groups, more explicit use of homomorphisms, increased use of the Chinese remainder theorem, coverage of cubic and quartic polynomial equations, and applications which use the discrete Fourier transform." MATHEMATICAL REVIEWS From

the reviews of the third edition: "This book can serve as both an introduction to number theory and abstract algebra, sacrifices have to be made with respect to its algebraic content. ... the book has been written with a high degree of rigor and accuracy and I definitely recommend it for consideration as the basis of an alternative route into abstract algebra and its applications." (The Mathematical Association of America, April, 2009) "The target audience remains students requiring a substantial introduction to the elements of university-level algebra. ... the text proceeds throughout on a foundation built from the students' familiarity with integers and polynomials over fields. Great care is taken to proceed to abstract concepts by way of familiar examples, and a great many exercises are provided throughout the text. ... A noteworthy feature of the book is the inclusion of extensive material on applications, to such topics as cryptography and factoring polynomials." (Kenneth A. Brown, Mathematical Reviews, Issue 2009 i)