Written by eminent mathematician William Cain, this book is a landmark in the development of algebraic geometry and number theory. With rigorous proofs and clear explanations, Cain lays out the foundations of symbolic algebra and explains how it can be used to solve complex mathematical problems. This book is a must-read for serious students and scholars of algebra and geometry alike. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.