Introduction to Linear Algebra and Differential Equations (Dover Books on Mathematics) by John W. Dettman
English | Dec 1, 1986 | ISBN: 0486651916 | 432 Pages | DJVU | 2 MB
English | Dec 1, 1986 | ISBN: 0486651916 | 432 Pages | DJVU | 2 MB
The book progresses from familiar ideas to more complex and difficult concepts, with applications introduced along the way, to clarify or illustrate theoretical material. Among the topics covered are complex numbers, including two-dimensional vectors and functions of a complex variable; matrices and determinants; vector spaces; symmetric and hermitian matrices; first order nonlinear equations; linear differential equations; power-series methods; Laplace transforms; Bessel functions; systems of differential equations; and boundary value problems.
To reinforce and expand each chapter, numerous worked-out examples are included. A unique pedagogical feature is the starred section at the end of each chapter. Although these sections are not essential to the sequence of the book, they are related to the basic material and offer advanced topics to stimulate the more ambitious student.