TY - BOOK AU - Axler, Sheldon TI - Linear algebra done right T2 - Undergraduate texts in mathematics SN - 9783319110790 U1 - 512.5 PY - 2015/// CY - Cham PB - Springer, KW - Algebras- KW - Linear KW - Linear- KW - Study and teaching KW - Mathematics N2 - The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences ER -