The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.
In the following theorem, we shall see that the validity of the converse of (b) characterizes injective linear transformation. THEOREM 5.11. Let (p: X → Y be a linear $5 GENERAL PROPERTIES OF LINEAR TRANSFORMATION 49.
The Essentials of a First Linear Algebra Course and MoreLinear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations.
This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry.
Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry.
Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for the primary interests: math, engineering, science, computer graphics, and geometric modeling.
Linear Algebra and Geometry
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical.
In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject.
Examples demonstrate each topic in action. This practical approach to a linear algebra course, whether through classroom instruction or self-study, is unique to this book. New to the Fourth Edition: Ten new application sections.
An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for ...