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This pioneering work in mathematics presents a comprehensive study of elliptic functions and their numerical calculation. The author, Louis Vessot King, was a prominent mathematician and expert in the field, and drew on his extensive research and experience to produce this authoritative text. The book is an essential reference for anyone studying or working in the field of applied mathematics, and offers a clear and accessible introduction to some of the most important and complex concepts in the discipline. 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.