This excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. These systems, which consist of sets of elements, operations, and relations among the elements, and prescriptive axioms, are abstractions and generalizations of various models which evolved from efforts to explain or discuss physical phenomena.
In Chapter 1, the author discusses the essential ingredients of a mathematical system, and in the next four chapters covers the basic number systems, decompositions of integers, diophantine problems, and congruences. Chapters 6 through 9 examine groups, rings, domains, fields, polynomial rings, and quadratic domains.
In Chapter 1, the author discusses the essential ingredients of a mathematical system, and in the next four chapters covers the basic number systems, decompositions of integers, diophantine problems, and congruences. Chapters 6 through 9 examine groups, rings, domains, fields, polynomial rings, and quadratic domains.
Chapters 10 through 13 cover modular systems, modules and vector spaces, linear transformations and matrices, and the elementary theory of matrices. The author, Professor of Mathematics at the University of Pittsburgh, includes many examples and, at the end of each chapter, a large number of problems of varying levels of difficulty.
Betaal eenvoudig met kaart, Klarna, Apple Pay of Google Pay. Niet tevreden? Je hebt altijd 14 dagen bedenktijd. Lees meer in onze voorwaarden. Heb je vragen, mail ons dan via hello@memmo.org.
Memmo maakt studeren makkelijker – waar je ook bent ter wereld. Wij brengen je cursusboeken en slimme studietools samen op één plek: samenvattingen, quizzen, podcasts en flashcards. En Ted, je studievriend die antwoord geeft op alles wat je je afvraagt. Meer dan 50.000 studenten studeren hier al – gebouwd om je sneller te laten leren en minder stress te geven.
Misschien vind je dit ook leuk
Koop het boek0