This book provides a complete account of undergraduate linear algebra, in a rigorous style.
Appendix A contains an overview of mathematical notation and methods of proof, and Appendix B discusses mathematical induction. All students will benefit from these sections, but those with a mathematically oriented major may wish to ...
This text guides the student to try out different programs by providing specific commands.
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.
Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, ...
"This book is intended for first- and second-year undergraduates arriving with average mathematics grades ... The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced.
This book is especially suited to a second course in linear algebra that emphasizes abstract vector spaces, although it can be used in a first course with a strong theoretical emphasis.
This text proceeds from the view that it is best to present the difficulties honestly, but as concisely and simply as possible. Although the text is shorter than others, all the material of a semester course is included.
Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra.
Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a ...
The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.
Linear Algebra
Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization.
A special feature is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study, and new to this edition is a section on analytic methods in matrix theory, with ...
This book is based on the lectures delivered several years in a sophomore level linear algebra course designed for science and engineering students.
For this fourth edition some new material has been added to the text, for instance, the intrinsic treatment of the classical adjoint of a linear transformation in Chapter IV, as well as the discussion of quaternions and the classifica tion ...
Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics.
Presents the basic concepts of linear algebra as a coherent part of mathematics. This new edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications.
"A developmental approach to linear algebra. This text covers a standard first course : Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvalues and eigenvectors.
A comprehensive study of linear algebra as it pertains to applications in statistics, machine learning, and simulations.