Linear Algebra (book)

Linear Algebra

Author	Serge Lang
Language	English
Series	Undergraduate Texts in Mathematics
Subject	Linear algebra
Publisher	Addison-Wesley (1st ed.) Springer-Verlag (3rd ed.)
Publication date	1966 (1st ed.) 1987 (3rd ed.)
Publication place	United States
Pages	285 (3rd ed.)
ISBN	978-0-387-96412-6 (3rd ed.)
OCLC	559341805

Linear Algebra is a 1966 mathematics textbook by Serge Lang. The third edition of 1987 covers fundamental concepts of vector spaces, matrices, linear mappings and operators, scalar products, determinants and eigenvalues. Multiple advanced topics follow such as decompositions of vector spaces under linear maps, the spectral theorem, polynomial ideals, Jordan form, convex sets and an appendix on the Iwasawa decomposition using group theory. The book has a pure, proof-heavy focus and is aimed at upper-division undergraduates who have been exposed to linear algebra in a prior course.