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Cours de calcul infinitésimal is a comprehensive treatise on infinitesimal calculus by the eminent French mathematician Guillaume Jules Hoüel. This third edition, published in 1878, offers a rigorous and detailed exploration of the principles and applications of calculus. Intended for advanced students and researchers, the book covers a wide range of topics, including limits, derivatives, integrals, and series. Hoüel’s work is characterized by its clarity and precision, making it an invaluable resource for anyone seeking a deep understanding of calculus. His contributions to the field of mathematics, particularly in promoting non-Euclidean geometry, are well-regarded, and this book exemplifies his commitment to mathematical rigor. This edition remains a significant historical document for those studying the evolution of mathematical thought and education in the 19th century.This work has been selected by scholars as being culturally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.