A History of Abstract Algebra

From Algebraic Equations to Modern Algebra

GRAY, Jeremy Taal: Engels

Paperback

€ 42,50

Afwijkende levertijd: 10-12 werkdagen
A History of Abstract Algebra

Paperback

€ 42,50

Nieuwe boeken gratis bezorgd t/m 31-12-2021 naar NL*
Altijd de laagste prijs voor nieuwe Nederlandstalige boeken
Verlengde retourtermijn: ruilen of retourneren t/m 10 januari 2022
Koop lokaal, ook online!
Bekijk winkelvoorraad

This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject.

Beginning with Gauss's theory of numbers and Galois's ideas, the book progresses to Dedekind and Kronecker, Jordan and Klein, Steinitz, Hilbert, and Emmy Noether. Approaching mathematical topics from a historical perspective, the author explores quadratic forms, quadratic reciprocity, Fermat's Last Theorem, cyclotomy, quintic equations, Galois theory, commutative rings, abstract fields, ideal theory, invariant theory, and group theory. Readers will learn what Galois accomplished, how difficult the proofs of his theorems were, and how important Camille Jordan and Felix Klein were in the eventual acceptance of Galois's approach to the solution of equations. The book also describes the relationship between Kummer's ideal numbers and Dedekind's ideals, and discusses why Dedekind felt his solution to the divisor problem was better than Kummer's.



Designed for a course in the history of modern algebra, this book is aimed at undergraduate students with an introductory background in algebra but will also appeal to researchers with a general interest in the topic. With exercises at the end of each chapter and appendices providing material difficult to find elsewhere, this book is self-contained and therefore suitable for self-study.
ISBN
9783319947723
Vorm
Paperback
Uitgever
Springer International Publishing AG
Druk
1e
Verschenen
01-01-2018
Taal
Engels
Pagina's
415 pp.
Genre
Literaire fictie
Geen recensies beschikbaar.
pro-mbooks3 : libris