I have kept the exposition lively and given an overall sense of breadth of application. Finally, i thank serge lang for giving me the opportunity to work on this. As lang says in his introduction, his book is not meant as a substitute for an elementary text. The serge lang undergraduate lectures department of. Publication date 20050101 usage public domain mark 1. 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.
Introduction to linear algebra serge lang springer. Commentary on langs linear algebra columbia university. Topics algebra lineal, serge lang, algebra lineal serge lang collection opensource language spanish. Serge lang was a frequent visitor to our department. The students in the class were gifted but had limited exposure to linear algebra. Zijn grootste bekendheid dankt hij aan zijn wiskundige leerboeken, waaronder het invloedrijke algebra. My books undergraduate algebra and linear algebra provide more than enough. Use features like bookmarks, note taking and highlighting while reading linear algebra undergraduate texts in mathematics. Algebra lineare italiano copertina flessibile 28 agosto 2014 di serge lang autore. Aug 03, 2015 introduction to linear algebra, second edition by serge lang 1. This course was designed for mathematics majors at the junior level, although three fourths of the students were drawn from other scientific and technological disciplines and ranged from freshmen through graduate students. 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 theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and. Even if there have probably been no fundamental new insight in algebra which can be. Linear algebra through geometry, thomas banchoff john wermer. The present textbook is intended for a oneterm course at the junior. In short, these topics invite readers to see for themselves that linear. Linear algebra is intended for a oneterm course at the junior or senior level. Download it once and read it on your kindle device, pc, phones or tablets. Linear algebra undergraduate texts in mathematics by serge lang hardcover.
Linear algebra by serge lang, 9781441930811, available at book depository with free delivery worldwide. Introduction to linear algebra undergraduate texts in mathematics. In short, these topics invite readers to see for themselves that linear algebra is a tool that a professional must have. Linear algebra undergraduate texts in mathematics 3.
The book is intended for students having had an elementary course in linear algebra. Even if there have probably been no fundamental new insight in algebra which can be included in a firstyeargraduate algebra course, the. Linear algebra second edition serge lang columbia university, new york, new york so we, we shape addisonwesley publishing company reading, massachusetts menlo park, california london sydney manila yooh es, 2. Gabriela jeronimo, juan sabia y susana tesauri algebra lineal. Serges mother was a concert pianist and his father was a businessman. 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. 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. The present textbook is intended for a oneterm course at the junior or senior level. Introduction to linear algebra, second edition by serge lang. Springer new york berlin heidelberg hong kong london milan paris tokyo undergraduate texts in mathematics editors s.
Linear algebra undergraduate texts in mathematics 3, serge. Springer have made a bunch of books available for free. Serge lang introduction to linear algebra second edition. Mar 31, 2017 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 undergraduate texts in mathematics kindle edition by lang, serge. It begins with an exposition of the basic theory of finitedimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices. 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. Deseo agradecer tambien al alumno tomas rocha rinza por sus correcciones. As mais variadas edicoes, novas, seminovas e usadas pelo melhor preco. 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. Each year from 1999 to 2005, serge gave a musa lecture at 4pm on the first day of classes. Morozov itep, moscow, russia abstract concise introduction to a relatively new subject of nonlinear algebra. In a onesemester course, i suggest covering most of the first part.
Introduccion al algebra lineal serge lang internet archive. Amazon linear algebra undergraduate texts in mathematics. A background in analysis or experience with proofs is required, as well as knowing matrix manipulation, finding eigenvalues, etc. This powerful science is based on the notions of discriminant hyperdeterminant and.
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. The present course on calculus of several variables is meant as a text, either for one semester following the first course in calculus, or for a longer period if the calculus sequence is so structured. My main concern is that the first edition of algebra is already 48 years old. 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. 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. Serge lang parijs, 19 mei 1927 berkeley, 12 september, 2005 was een in. Langs algebra is a sterilised accumulation of algebraic facts, and it makes a good algebra encyclopaedia.
He received the frank nelson cole prize in 1960 and was a member of the bourbaki group. This book deals with the theory and more abstract parts of linear algebra, and stays away from the computational part. 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. Ejercicios y cuestiones matriz triangular superior. Lang s algebra is a sterilised accumulation of algebraic facts, and it makes a good algebra encyclopaedia. Linear algebra undergraduate texts in mathematics 3, lang. He spent many summers in berkeley and often gave lectures to the math undergraduate student association after students returned to campus at the end of august. Introduction to linear algebra, second edition by serge lang 1. Undergraduate texts in mathematics serge lang introduction to linear algebra second edition springer 2.
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