Items related to Undergraduate Algebra (Undergraduate Texts in Mathematics)
Synopsis
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
"synopsis" may belong to another edition of this title.
Review
From the reviews of the third edition:
"As is very typical for Professor Lang’s self demand and style of publishing, he has tried to both improve and up-date his already well-established text. ... Numerous examples and exercises accompany this now already classic primer of modern algebra, which as usual, reflects the author’s great individuality just as much as his unrivalled didactic mastery and his care for profound mathematical education at any level. ... The present textbook ... will remain one of the great standard introductions to the subject for beginners." (Werner Kleinert, Zentralblatt MATH, Vol. 1063, 2005)
"About this title" may belong to another edition of this title.
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Undergraduate Algebra
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Undergraduate Algebra (Undergraduate Texts in Mathematics)
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Hardcover. Condition: As New. 8vo (24 cm), XI, [1], 367, [3] pp. Publisher's laminated boards (minor shelf wear). "Undergraduate Algebra is designed for the standard undergraduate algebra course. It focuses on the fundamental structures and results of algebra, covering groups, rings, modules, fields, polynomials, finite fields, Galois theory, and more. The book includes a unique chapter on groups of matrices, rarely found at this level. The author balances abstraction with concrete results, enhancing the material with illustrative examples that clarify the general theory. Numerous exercises, ranging from computational to theoretical, complement the main text and reinforce understanding." (from the blurb). Seller Inventory # 009106
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Undergraduate Algebra
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Undergraduate Algebra,2nd edition
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 1990
ISBN 10: 038797279X
ISBN 13: 9780387972794
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Undergraduate Algebra
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Undergraduate Algebra
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Undergraduate Algebra (Undergraduate Texts in Mathematics)
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