A Course in Algebra (Graduate Studies in Mathematics) - Tapa blanda

Libro 46 de 190: Graduate Studies in Mathematics

Vinberg, Ernest Borisovich

 
9780821834138: A Course in Algebra (Graduate Studies in Mathematics)
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ISBN 10: 0821834134 ISBN 13: 9780821834138
Editorial: American Mathematical Society, 2003

Sinopsis

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.

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Reseña del editor

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 an ideal textbook or suitable for independent study for advanced undergraduates and graduate students.

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Editorial
American Mathematical Society
Año de publicación
2003
Idioma
Inglés
ISBN 10 
0821834134
ISBN 13 
9780821834138
Encuadernación
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Número de páginas
511
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780821833186: A Course in Algebra (Graduate Studies in Mathematics)

Edición Destacada

ISBN 10:  0821833189 ISBN 13:  9780821833186
Editorial: American Mathematical Society, 2003
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