The purpose of this handbook is to present the reader with a teachable text
that includes theory and examples. Useful analytical techniques provide the
student and the practitioner with powerful tools for mechanical design. This
book may also serve as a reference for the designer and as a source book for
The characteristicsof a vector are the magnitude, the orientation, and
the sense. The magnitudeof a vector is speci®ed by a positive
number and a unit having appropriate dimensions. No unit is stated if
the dimensions are those of a pure number. The orientationof a vector is
speci®ed by the relationship between the vector and given reference lines
and=or planes. Thesenseof a vector is speci®ed by the order of two points
on a line parallel to the vector. Orientation and sense together determine the
directionof a vector.
an one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is an ideal text for a course in linear algebra. It takes the student step by step from the basic axioms of a field through the notion of vector spaces, on to advanced concepts such as inner product spaces and normality. All of this occurs by way of a series of 164 problems, each with hints and, at the back of the book, full solutions. This book is a marvelous example of how...
Linear algebra is the branch of mathematics concerning vector spaces, often finite or countably infinite dimensional, as well as linear mappings between such spaces. Such an investigation is initially motivated by a system of linear equations in several unknowns. Such equations are naturally represented using the formalism of matrices and vectors