
Undergraduate Algebra
Serge Lang(Author)
Springer (Publisher)
2nd Edition
Published in August 1990
Book
Hardback
XI, 367 pages
978-3-540-97279-2 (ISBN)
Article exhausted; check for reprint
Description
"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, finite fields, Galois theory, and other topics. The author has also included a chapter on groups of matrices. Throughout the book, the author has attempted to strike a balance between abstraction and concrete results, providing illustrative examples to reinforce the general theory. Numerous exercises, ranging from the computational to the theoretical, have been added. In this second edition, some new topics have been included, such as Sylow groups, Mason's theorem on polynomials and the analogous ABC conjecture over the integers, while other topics, including symmetric polynomials and field theory, have been expanded. Additionally, there are many new exercises of varying difficulty, and concrete examples of major unsolved problems in algebra, written in a language accessible to undergraduates, have been included to illuminate the vitality of mathematics.
More details
Series
Edition
2., corr. Printing
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Undergraduate math students
Edition type
Revised edition
Illustrations
3 figs.
Dimensions
Height: 240 mm
Weight
695 gr
ISBN-13
978-3-540-97279-2 (9783540972792)
Schweitzer Classification
Other editions
New editions

Person
Serge Lang, Yale University, New Haven, CT, USA
Content
Contents: The Integers.- Groups.- Rings.- Polynomials.- Vector Spaces and Modules.- Some Linear Groups.- Field Theory.- Finite Fields.- The Real and Complex Numbers.- Sets.- Appendix.- Index.