Undergraduate algebra
(eBook)
"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."--Jacket
Lang, S. (2005). Undergraduate algebra. 3rd ed. New York, Springer.
Chicago / Turabian - Author Date Citation (style guide)Lang, Serge, 1927-2005. 2005. Undergraduate Algebra. New York, Springer.
Chicago / Turabian - Humanities Citation (style guide)Lang, Serge, 1927-2005, Undergraduate Algebra. New York, Springer, 2005.
MLA Citation (style guide)Lang, Serge. Undergraduate Algebra. 3rd ed. New York, Springer, 2005.
Notes
Record Information
Last Sierra Extract Time | May 01, 2024 10:20:23 AM |
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Last File Modification Time | May 01, 2024 10:24:00 AM |
Last Grouped Work Modification Time | May 01, 2024 10:20:34 AM |
MARC Record
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100 | 1 | |a Lang, Serge,|d 1927-2005. | |
245 | 1 | 0 | |a Undergraduate algebra /|c Serge Lang. |
250 | |a 3rd ed. | ||
260 | |a New York :|b Springer,|c ©2005. | ||
300 | |a 1 online resource (xi, 385 pages) :|b illustrations | ||
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490 | 1 | |a Undergraduate texts in mathematics | |
504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a 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. | |
506 | |a Available to OhioLINK libraries. | ||
520 | 1 | |a "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."--Jacket | |
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588 | 0 | |a Print version record. | |
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