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This comprehensive survey of algebraic methods for approximating numerical roots up to 1819 provides a fascinating look at the history of numerical analysis. Nordgaard examines the contributions of mathematicians throughout history and explores how their methods were refined and improved upon over time. This book is ideal for anyone interested in the history of mathematics or for researchers looking for a deeper understanding of numerical analysis. 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.