Vectors in Two or Three Dimensions
Vectors in Two or Three Dimensions by Ann Hirst, published by Elsevier S & T in 1995, is a comprehensive introduction to the fundamentals of vectors. This edition, consisting of 144 pages, emphasizes a geometric perspective while also incorporating applications to mechanics and techniques from linear algebra. The book begins with the basic properties of vectors and progresses to vector algebra and transformation geometry, ultimately introducing vector calculus as a tool for studying curves and surfaces in three dimensions.
Readers will find that the text develops gradually, making it accessible to those with virtually no prior knowledge of the subject. The focus on geometric approaches is complemented by numerous worked examples, exercises, and challenge questions, which enhance understanding and application of the concepts. This book serves as a foundational resource for those interested in mathematics, particularly in areas related to calculus and vector calculus, as well as trades and technology.
Official synopsis Publisher
Vectors in 2 or 3 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.
* Adopts a geometric approach
* Develops gradually, building from basics to the concept of isometry and vector calculus
* Assumes virtually no prior knowledge
* Numerous worked examples, exercises and challenge questions
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