It has affected all subsequent graduatelevel algebra books. From april 1999 notices of the ams, announcing that the author was awarded the leroy p. Introduction to linear algebra, second edition by serge lang 1. 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. Aug 03, 2015 introduction to linear algebra, second edition by serge lang 1. Springer new york berlin heidelberg hong kong london milan paris tokyo undergraduate texts in mathematics editors s. Chap ter 2 deals with vector spaces, subspaces, bases, and dimension. Steele prize for mathematical exposition for his many mathematics books. Lang s algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from.

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