A course in algebra
著者
書誌事項
A course in algebra
（Graduate studies in mathematics, v. 56）
American Mathematical Society, c2003
- : softcover
- タイトル別名
-
Курс алгебры
Kurs algebry
大学図書館所蔵 件 / 全47件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Originally published in Russian: Kurs algebry. Moscow : Factorial Press, 2001
Bibliography: p. 501-502
Includes index
内容説明・目次
- 巻冊次
-
ISBN 9780821833186
内容説明
This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects.The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook. Another important feature is the presentation of most topics on several levels, allowing students to move smoothly from initial acquaintance with the subject to thorough study and a deeper understanding. Basic topics are included, such as algebraic structures, linear algebra, polynomials, and groups, as well as more advanced topics, such as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. The book is written with extreme care and contains over 200 exercises and 70 figures. It is ideal as a textbook and also suitable for independent study for advanced undergraduates and graduate students.
目次
Algebraic structures Elements of linear algebra Elements of polynomial algebra Elements of group theory Vector spaces Linear operators Affine and projective spaces Tensor algebra Commutative algebra Groups Linear representations and associative algebras Lie groups Answers to selected exercises Bibliography Index.
- 巻冊次
-
: softcover ISBN 9780821834138
内容説明
This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook.Another important feature is the presentation of most topics on several levels, allowing students to move smoothly from initial acquaintance with the subject to thorough study and a deeper understanding. Basic topics are included, such as algebraic structures, linear algebra, polynomials, and groups, as well as more advanced topics, such as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. The book is written with extreme care and contains over 200 exercises and 70 figures. It is ideal as a textbook and also suitable for independent study for advanced undergraduates and graduate students.
目次
- Algebraic structures
- Elements of linear algebra
- Elements of polynomial algebra
- Elements of group theory
- Vector spaces
- Linear operators
- Affine and projective spaces
- Tensor algebra
- Commutative algebra
- Groups
- Linear representations and associative algebras
- Lie groups
- Answers to selected exercises
- Bibliography
- Index
- Algebraic structures
- Elements of linear algebra
- Elements of polynomial algebra
- Elements of group theory
- Vector spaces
- Linear operators
- Affine and projective spaces
- Tensor algebra
- Commutative algebra
- Groups
- Linear representations and associative algebras
- Lie groups
- Answers to selected exercises
- Bibliography
- Index
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