Linear Algebra

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Linear Algebra is intended for a one term course at the junior or senior level 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 Jordan canonical form The book also includes a useful chapter on convex sets and the finite dimensional Krein Milman theorem The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants and linear maps However the book is logically self contained In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added. Best Read [ Linear Algebra ] By [ Serge Lang ] – kino-fada.fr A fantastic little book with some very slick proofs Worth reading if only for the very eye opening alternate proofs presented or at least outlined alongside the classical ones, such as a continuity argument to prove the Cayley Hamilton theorem in the non diagonalisable case, and Lagrange multipliers of all things to prove...perhaps it was the class i used this book for, but i thought this book wasn t the most well organized i don t know, something about it struck me as not cohesive, but thei think about it thei think it s just the fault of the instructor i had for the course, since we didn t even use the book very much and maybe it s also my natural aversion to linear algebra in any case i don t think it s one of lang s best books good exercises though as i recall it s sometimes lacking in examples perhaps it was the class i used this book for, but i thought this book wasn t the most well organized i don t know, something about it struck me as not cohesive, but thei think about it thei think it s just the fault of the instructor i had f...The book is excellent especially worth is the appendix odds and ends which delas with angles great

Linear Algebra
  • English
  • 25 February 2017
  • Hardcover
  • 285 pages
  • 0387964126
  • Serge Lang
  • Linear Algebra