""An Elementary Exposition of Grassmanns' Ausdehnungslehre: Or Theory of Extension"" is a book written by Joseph V. Collins in 1901. The book is a comprehensive guide to the mathematical theory of extension, also known as Ausdehnungslehre, developed by Hermann Grassmann. The theory of extension is a branch of mathematics that deals with the extension of geometric concepts beyond the traditional Euclidean geometry. The book is aimed at students and mathematicians who are interested in learning about the theory of extension. It provides a clear and concise explanation of the fundamental concepts of the theory, including the concept of the line, plane, and volume. The book also covers the algebraic foundations of the theory of extension, including the use of vectors and matrices.The author has used simple and easy-to-understand language, making the book accessible to a wide range of readers. The book includes numerous examples and exercises, which help readers to understand the concepts and apply them to real-world problems.Overall, ""An Elementary Exposition of Grassmanns' Ausdehnungslehre: Or Theory of Extension"" is an essential read for anyone interested in the theory of extension and its applications in mathematics and science.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.