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Vectors in Two or Three Dimensions (Modular Mathematics)
Vectors in Two or Three Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are
initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. It adopts a geometric approach and develops gradually, building from basics to the concept of isometry and vector calculus. It assumes virtually no prior knowledge and contains numerous worked examples, exercises and challenge questions.
Contents:
Introduction to vectors * Vector equation of a straight line * Scalar products and equations of planes * Vector products and intersection of planes * Linear combinations and bases * Linear transformations of R3 matrices and change of basis * Vector valued functions of a single variable * Cylindrical and spherical polars * Index.
Brief Description:
Provides an introduction to vectors from their basics. This book presents vector calculus as a means of studying curves and surfaces in 3 dimensions. It adopts a geometric approach and develops gradually, building from basics to the concept of isometry and vector calculus. It contains numerous worked examples, exercises and challenge questions.
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