It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, galois theory, and other topics. Lang s algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. Introduction to linear algebra, second edition by serge lang. Linear algebra addisonwesley series in mathematics by lang, serge and a great selection of related books, art and collectibles available now at. Algebra lineal, serge lang, algebra lineal serge lang collection opensource language spanish. He was born in paris in 1927, and moved with his family to california as a teenager. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms. Linear algebra by serge lang, 9781441930811, available at book depository with free delivery worldwide. Aug 03, 2015 introduction to linear algebra, second edition by serge lang 1. Introduction to linear algebra serge lang download. Undergraduate texts in mathematics serge lang introduction to linear algebra second edition springer 2. This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and jordan canonical form. Serge lang undergraduate algebra is a text for the standard undergraduate algebra course.
This is a good book for introductory courses to the subject. Langs algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. In the first chapter, lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. Langs textbook covers all the topics in linear algebra that are usually taught at the undergraduate level. Introduction to linear algebra edition 2 by serge lang. Is serge lang s famous book algebra nowadays still worth reading, or are there other, more modern books which are better suited for an overview over all areas of algebra.
It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary. Library of congress cataloging in publication data. Introduction to linear algebra serge lang springer. My main concern is that the first edition of algebra is already 48 years old. Serge lang this is a short text in linear algebra, intended for a oneterm course. Topics algebra lineal, serge lang, algebra lineal serge lang collection. R, geometry, linear algebra serge lang open library donate. Lang s algebra is a sterilised accumulation of algebraic facts, and it makes a good algebra encyclopaedia. To its credit, the book does cover a lot of material which one would otherwise have to look for in many different books, and i assume this is the main reason for its fame.
It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices. Linear algebra is intended for a oneterm course at the junior or senior level. Serge lang may 19, 1927september 12, 2005 was a frenchborn american mathematician. Serge lang introduction to linear algebra second edition. The present volume contains all the exercises and their solutions of langs linear algebra. Open library is an initiative of the internet archive, a 501c3 nonprofit, building a digital library of internet sites and other cultural artifacts in digital form. Solving problems being an essential part of the learning process, my goal is to provide those learning and teaching linear algebra with a large number of worked out exercises. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and jordan.
He is known for his work in number theory and for his mathematics textbooks, including the influential algebra. The present volume contains all the exercises and their solutions of lang s linear algebra. Mar 31, 2017 author of a first course in calculus, algebra, calculus of several variables, a second course in calculus, complex analysis, sl. Is serge langs famous book algebra nowadays still worth reading, or are there other, more modern books which are better suited for an overview over all areas of algebra edit. Introduction to linear algebra, second edition by serge lang 1. May 19, 1927 september 12, 2005 was a frenchamerican mathematician and activist who taught at yale university for most of his career. As mais variadas edicoes, novas, seminovas e usadas pelo melhor preco. He received the frank nelson cole prize in 1960 and was a member of the bourbaki group. Chap ter 2 deals with vector spaces, subspaces, bases, and dimension. Personally i find lang s books very useful since they keep the rigour for more advanced mathematics courses.
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