Kirjahaku

""Vector Geometry"" by Gilbert De Beauregard Robinson is a comprehensive guide to the study of vectors and their application in geometry. The book covers a wide range of topics, including vector algebra, scalar products, vector products, triple products, and applications of vectors in geometry. It also delves into the geometry of lines, planes, and surfaces, as well as the geometry of curves and surfaces in three-dimensional space. The book is designed for students and professionals in mathematics, physics, engineering, and other related fields who are interested in learning about vectors and their applications in geometry. With clear explanations and numerous examples, ""Vector Geometry"" is an essential resource for anyone seeking a deeper understanding of this important mathematical concept.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra. The author of this book is convinced that the two are but different sides of the same coin, and that they should be presented together to a student of mathematics as soon as the curriculum will permit. Certainly, no graduate of an Honours course should miss at least a brief exposure to these stimulating ideas. When the first edition of this book appeared, a reviewer in the American Mathematical Monthly commented: ‘If this book had a subtitle, it might well have been "The Theorems of Desargues and Pappus," for these two theorems play a central role throughout the text; their dependence and independence of various axioms is continually studied. Nowhere before, in English, has the importance of these two theorems been so carefully demonstrated…this is a most excellent book, and it will inspire many students of mathematics.’ Largely as a result of the work of Ruth Moufang, the interplay between algebraic and geometrical ideas has been further investigated of recent years. Many interesting problems have come to light, some of which have been solved. In this fourth edition, an Appendix has been added which attempts to summarize a part of this work and provide the reader with references so that he may learn more of these interesting developments.

This volume includes all the published papers of Alfred Young (1873-1940), who made outstanding contributions to the algebra of invariants and the theory of groups, together with a biographical sketch published after Young's death and a foreword by Professor G. de B. Robinson of the University of Toronto. It will be of interest to algebraists, combinatorialists, theoretical physicists, and students of the corresponding disciplines.