Undergraduate Algebra

✍ Scribed by Serge Lang (auth.)

• Book ID: 127417904
• Publisher: Springer New York
• Year: 2005
• Tongue: English
• Weight: 2 MB
• Edition: 3rd ed
• Category: Library
• City: New York;NY
• ISBN: 1441919597
• DOI: 10.1007/978-0-387-27475-1

✦ Synopsis

The Integers -- Groups -- Rings -- Polynomials -- Vector Spaces and Modules -- Some Linear Groups -- Field Theory -- Finite Fields -- The Real and Complex Numbers -- Sets.;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.

✦ Subjects

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