A Modern Introduction to Linear Algebra

ISBN-13: 9780367385040 / Angielski / Miękka / 2019 / 670 str.

Henry Ricardo

Opis

This text provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. It develops key concepts in the context of Euclidean n-space, explains the theory of matrices, and explores the differences between finite- and infinite-dimensional vector spaces. The book also covers the algebra and matrix representation of linear transformations. The author reviews basic mathematical tools in the appendices, presents proofs for nearly all results, and includes a host of examples and exercises, some of which reflect the various disciplines that use linear algebra. A solutions manual is available for qualifying instructors.

Spis treści

Vectors. Systems of Equations, Matrix Algebra. Eigenvalues, Eigenvectors, and Diagonalization. Vector Spaces. Linear Transformations. Inner Product Spaces. Hermitian Matrices and Quadratic Forms. Appendices. Answers/Hints to Odd-Numbered Problems. Index.

O autorze

Henry Ricardo is a professor of mathematics at Medgar Evers College of the City University of New York, where he was presented with the 2008 Distinguished Service Award by the School of Science, Health and Technology. Dr. Ricardo was also given the 2009 Distinguished Service Award by the Metropolitan New York Section of the MAA, of which he is the Governor.