Pdf introduccion al algebra lineal serge lang v1 giovanni. 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. Serge lang may 19, 1927september 12, 2005 was a frenchborn american mathematician. Lang s algebra is a sterilised accumulation of algebraic facts, and it makes a good algebra encyclopaedia. Personally i find langs books very useful since they keep the rigour for more. Mar 31, 2017 author of a first course in calculus, algebra, calculus of several variables, a second course in calculus, complex analysis, sl. Introduction to linear algebra serge lang download. Introduction to linear algebra serge lang springer. 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. 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. No different from its predecessor an introduction to linear algebra also by s. Library of congress cataloging in publication data.
Undergraduate texts in mathematics serge lang introduction to linear algebra second edition springer 2. Introduction to linear algebra, second edition by serge lang. 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. Even if there have probably been no fundamental new insight in algebra which can be included in a firstyeargraduate algebra course, the. 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. 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. 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.
May 19, 1927 september 12, 2005 was a frenchamerican mathematician and activist who taught at yale university for most of his career. 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. He was known for his work in number theory and for his mathematics textbooks, including the influential algebra. Introduccion al algebra lineal serge lang internet archive. 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. Personally i find lang s books very useful since they keep the rigour for more advanced mathematics courses. 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. Langs algebra is a sterilised accumulation of algebraic facts, and it makes a good algebra encyclopaedia. Chapter 3 treats linear transformations, their algebra, their representation by matrices, as well as. Serge lang undergraduate algebra is a text for the standard undergraduate algebra course. He received the frank nelson cole prize in 1960 and was a member of the bourbaki group. Algebra lineal, serge lang, algebra lineal serge lang collection opensource language spanish. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, galois theory, and other topics.
My main concern is that the first edition of algebra is already 48 years old. R, geometry, linear algebra serge lang open library donate. Linear algebra is intended for a oneterm course at the junior or senior level. He is known for his work in number theory and for his mathematics textbooks, including the influential algebra. Serge lang introduction to linear algebra second edition. The present volume contains all the exercises and their solutions of lang s linear algebra. Even if there have probably been no fundamental new insight in algebra which can be. As mais variadas edicoes, novas, seminovas e usadas pelo melhor preco. Chap ter 2 deals with vector spaces, subspaces, bases, and dimension. Introduction to linear algebra edition 2 by serge lang. 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.
Linear algebra addisonwesley series in mathematics by lang, serge and a great selection of related books, art and collectibles available now at. 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, triangulation, and. It has affected all subsequent graduatelevel algebra books. Topics algebra lineal, serge lang, algebra lineal serge lang collection. 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, diagonalization of symmetric, hermitian, and unitary. This is a good book for introductory courses to the subject. Springer new york berlin heidelberg hong kong london milan paris tokyo undergraduate texts in mathematics editors s. Aug 03, 2015 introduction to linear algebra, second edition by serge lang 1. Serge lang this is a short text in linear algebra, intended for a oneterm course. 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. Langs textbook covers all the topics in linear algebra that are usually taught at the undergraduate level. Introduction to linear algebra, second edition by serge lang 1.
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