A course in algebra
Author(s)
Bibliographic Information
A course in algebra
（Graduate studies in mathematics, v. 56）
American Mathematical Society, c2003
- : softcover
- Other Title
-
Курс алгебры
Kurs algebry
Available at 47 libraries
Note
Originally published in Russian: Kurs algebry. Moscow : Factorial Press, 2001
Bibliography: p. 501-502
Includes index
Description and Table of Contents
- Volume
-
ISBN 9780821833186
Description
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.
Table of Contents
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.
- Volume
-
: softcover ISBN 9780821834138
Description
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.
Table of Contents
- 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
by "Nielsen BookData"