Algebra
著者
書誌事項
Algebra
Addison-Wesley, 1994, c1993
3rd ed.
並立書誌 全3件
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Algebra / Serge Lang
BA26372376
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Algebra / Serge Lang
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Algebra / Serge Lang
BA53461810
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Algebra / Serge Lang
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Algebra / Serge Lang
BA2587489X
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Algebra / Serge Lang
大学図書館所蔵 件 / 全1件
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注記
"Reprinted with corrections, June 1994" -- T.p. verso
Bibliography: p. 895-900
Includes index
内容説明・目次
内容説明
This basic text for a one-year course in algebra at the graduate level thoroughly prepares students to handle the algebra they will use in all of mathematics. The author assumes that students have a basic familiarity with the language of mathematics "i.e.: sets and mapping, integers, and rational numbers." The text was thoroughly revised and enhanced in response to reviewers' comments and suggestions. Designed to improve students' retention and comprehension, the text is divided into four parts. The first introduces the basic notions of algebra. The second covers the direction of algebraic equations, including the Galois theory, and the final two parts cover the direction of linear and multilinear algebra.
目次
I. THE BASIC OBJECTS OF ALGEBRA GROUPS.
Groups.
Rings.
Modules.
Polynomials.
II. ALGEBRAIC EQUATIONS.
Algebraic Extensions.
Galois Theory.
Extensions of Rings.
Transcendental Extensions.
Algebraic Spaces.
Noetherian Rings and Modules.
Real Fields.
Absolute Values.
III. LINEAR ALGEBRA AND REPRESENTATIONS.
Matrices and Linear Maps.
Representation of One Endomorphism.
Structure of Bilinear Forms.
The Tensor Product.
Semisimplicity.
Representations of Finite Groups.
The Alternating Product.
IV. HOMOLOGICAL ALGEBRA.
General Homology Theory.
Finite Free Resolution.
Appendices.
「Nielsen BookData」 より
