Kontakt
Wie einkaufen
Versand
Kaufberater
Abstract Algebra via Numbers
Englisch
180 b
Bis zu 30 Tage Rückgaberecht
Kunden kauften auch
/
Hardcover
40.69
€
/
Broschur
22.99
€
This book is a concise, self-contained treatise on abstract algebra with an introduction to number theory, where students normally encounter rigorous mathematics for the first time. The authors build up things slowly, by explaining the importance of proofs. Number theory with its focus on prime numbers is then bridged via complex numbers and linear algebra, to the standard concepts of a course in abstract algebra, namely groups, representations, rings, and modules.
The interplay between these notions becomes evident in the various topics studied. Galois theory connects field extensions with automorphism groups. The group algebra ties group representations with modules over rings, also at the level of induced representations. Quadratic reciprocity occurs in the study of Fourier analysis over finite fields. Jordan decomposition of matrices is obtained by decomposition of modules over PID's of complex polynomials. This latter example is just one of many stunning generalizations of the fundamental theorem of arithmetic, which in its various guises penetrates abstract algebra and figures multiple times in the extensive final chapter on modules.
Informationen zum Buch
Englisch
Kategorie
Verschenken Sie dieses Buch noch heute
Es ist ganz einfach
1 Legen Sie das Buch in Ihren Warenkorb und wählen Sie den Versand als Geschenk 2 Wir schicken Ihnen umgehend einen Gutschein 3 Das Buch wird an die Adresse des beschenkten Empfängers geliefertDas könnte Sie auch interessieren
/
Broschur
141.49
€
/
Broschur
56.49
€
/
Broschur
26.19
€
Hallo! Ich bin Libroamiko, dein Buchberater.
Wie kann ich dir helfen?