Lang, Serge, Introduction to linear algebra. (Undergraduate texts in mathematics). Includes index. 1. Algebras, Linear. I. Title. II. Series. QAL37 Second Edition. S. Lang. Introduction to Linear Algebra. "Excellent! Rigorous yet straightforward, all answers included!"—Dr. J. Adam, Old Dominion University. Undergraduate Algebra by Serge Lang, S. Lang. (10 ratings). Hardcover Book, pages. Description. The companion title, Linear Algebra, has sold over 8,

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Lang Algebra "Langa's Algebra changed the algebra s lang graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra.

I'm surprised I've never thought about applying Bezout's Lemma from number theory to polynomials, and even more surprised to see the number of linear algebra results it can prove.

## Serge Lang: "Algebra"

He wrote calculus texts and also prepared a book on group cohomology for Bourbaki. Lang's Algebra s lang, a graduate-level introduction to abstract algebrawas a highly influential text that ran through numerous updated editions.

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His Steele prize citation stated, "Lang's Algebra changed the way graduate algebra is taught It has affected all algebra s lang graduate-level algebra books. Awards as expositor[ edit ] Lang was noted for his eagerness for contact with students.

Many of his students at Yale considered him to be one of the greatest teachers of mathematics in the world. One can algebra s lang treat first the linear algebra, algebra s lang covering the basic definitions, and postpone the field theory.

I have followed Artin in the treatment of Galois theory, except for minor modifications.

The reader can profitably consult Artin's short book on the subject to see the differences. Furthermore, the reader would algebra s lang profit from seeing an exposition based on the Jacobson-Bourbaki theorem, which is useful in the inseparable case.

Algebra s lang, the standard case is sufficiently important in most applications to warrant the classical treatment which I have chosen here.

Since Artin taught me algebra, my indebtedness to him is all-pervasive. It is perhaps least in the section on linear algebra and representations, where the influence of Bourbaki is more decisive in content, not expository style.

However, in choice of subject matter, I am more selective than Bourbaki, with the resulting advantages and disadvantages of being less encyclopaedic. Granting the material which under no circumstances can be algebra s lang from a basic course, there exist several options for leading the course algebra s lang various directions.

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