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Undergraduate Algebra - Serge Lang

Undergraduate Algebra

(Autor)

Buch | Hardcover
388 Seiten
1990 | 2nd Revised edition
Springer-Verlag New York Inc.
978-0-387-97279-4 (ISBN)
CHF 74,80 inkl. MwSt
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'Undergraduate Algebra' is a text for an 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. For the third edition, the author has included new material on product structure for matrices and more.
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

Foreword * The Integers * Groups * Rings * Polynomials * Vector Spaces and Modules * Some Linear Groups * Field Theory * Finite Fields * The Real and Complex Numbers * Sets * Appendix * Index.

Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo 1 illus, index
Verlagsort New York, NY
Sprache englisch
Maße 156 x 234 mm
Gewicht 720 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-387-97279-X / 038797279X
ISBN-13 978-0-387-97279-4 / 9780387972794
Zustand Neuware
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