This book deals with vector algebra and analysis and with their application to three-dimensional geometry and the analysis of fields in three dimensions. While many treatments of the application of vectors have approached the fundamentals of the subject intuitively, assuming some prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are fundamental to many branches of mathematics. While developing the properties of vectors from axioms, however, he continually emphasizes the geometrical interpretation of vector algebra in order to build up intuitive relations between the algebraic equations and geometrical concepts. Throughout, examples are used to illustrate the theory being developed; several sets of problems are incorporate in each chapter, and outline answers to many of these are given. Written primarily for undergraduate mathematicians in the early part of their courses, this lucidly written book will also appeal to mathematical physicists and to mathematically inclined engineers.
By:
J. S. R. Chisholm Imprint: Cambridge University Press Country of Publication: United Kingdom Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 18mm
Weight: 450g ISBN:9780521292894 ISBN 10: 0521292891 Pages: 308 Publication Date:27 November 1978 Audience:
College/higher education
,
Primary
Format:Paperback Publisher's Status: Active