Linear Algebra, James R. Kirkwood and Bessie H. Kirkwood,
978-1-4987-7685-1, K29751 Shelving Guide: Mathematics This text has
a major focus on demonstrating facts and techniques of linear
systems that will be invaluable in higher mathematics and related
fields. A linear algebra course has two major audiences that it
must satisfy. It provides an important theoretical and
computational tool for nearly every discipline that uses
mathematics. It also provides an introduction to abstract
mathematics. This book has two parts. Chapters 1-7 are written as
an introduction. Two primary goals of these chapters are to enable
students to become adept at computations and to develop an
understanding of the theory of basic topics including linear
transformations. Important applications are presented. Part two,
which consists of Chapters 8-14, is at a higher level. It includes
topics not usually taught in a first course, such as a detailed
justification of the Jordan canonical form, properties of the
determinant derived from axioms, the Perron-Frobenius theorem and
bilinear and quadratic forms. Though users will want to make use of
technology for many of the computations, topics are explained in
the text in a way that will enable students to do these
computations by hand if that is desired. Key features include:
Chapters 1-7 may be used for a first course relying on applications
Chapters 8-14 offer a more advanced, theoretical course Definitions
are highlighted throughout MATLAB (R) and R Project tutorials in
the appendices Exercises span a range from simple computations to
fairly direct abstract exercises Historical notes motivate the
presentation
General
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