Buch, Englisch, 389 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1640 g
Buch, Englisch, 389 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1640 g
Reihe: Undergraduate Texts in Mathematics
ISBN: 978-0-387-22025-3
Verlag: Springer
Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.
For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the Mason-Stothers polynomial abc theorem.
About the First Edition:
The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there.
- Hideyuki Matsumura, Zentralblatt
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Algebra Elementare Algebra
- Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
Weitere Infos & Material
The Integers.- Groups.- Rings.- Polynomials.- Vector Spaces and Modules.- Some Linear Groups.- Field Theory.- Finite Fields.- The Real and Complex Numbers.- Sets.
