In this groundbreaking work, Myron Hutchinson presents a new and rigorous approach to the study of mathematical astronomy. The book offers detailed mathematical proofs of the fundamental laws governing the motions of celestial bodies, and provides a comprehensive overview of the history and development of the science of astronomy. This book is an essential reference work for anyone involved in the study of astronomy, physics, or mathematics. 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.