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This is Volume I of Andrew Russell Forsyth’s comprehensive treatise on exact equations and Pfaff’s problem, originally published in 1890. A valuable resource for mathematicians, physicists, and historians of science, this book delves into the intricacies of differential equations and related mathematical concepts. It offers a detailed exploration of the methods for solving exact equations and addresses the complexities of Pfaff’s problem. With its rigorous approach and detailed explanations, this book remains relevant for anyone studying advanced mathematical techniques.Forsyth’s work provides insight into the mathematical landscape of the late 19th century, capturing the intellectual curiosity that shaped the era. This volume serves as a foundational text for understanding the development of mathematical physics and differential equations. A must-have for researchers and students seeking a deeper understanding of these classical mathematical subjects.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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
