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9781330021378: Elements of the Differential Calculus: With Examples and Applications, a Text Book (Classic Reprint)

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Excerpt from Elements of the Differential Calculus: With Examples and Applications, a Text Book

For example; it is shown in elementary geometry that the difference between the area of any circle and the area of the inscribed or circumscribed regular polygon can be made as small as we please by increasing the number of sides of the polygon, and this difference evidently can never become absolutely zero. The area of a circle is then the limit of the area of the regular inscribed or circumscribed polygon as the number of sides of the polygon is indefinitely increased.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Editore: Forgotten Books, 2015
ISBN 10: 1330021371 ISBN 13: 9781330021378
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 294 | Sprache: Englisch | Produktart: Bücher. Codice articolo 25693799/2

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W. E. Byerly
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ISBN 10: 1330021371 ISBN 13: 9781330021378
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Paperback. Condizione: New. Print on Demand. This book significantly contributes to the study of differential calculus, with a rigorous treatment of the subject based on the Doctrine of Limits. The author offers early integration methods with geometric applications, advanced treatment of infinitesimals in geometry, and a dedicated effort to engage readers' interest through practical applications in geometry and mechanics. The author's approach is not only to expand the mathematical knowledge of students but to encourage a deeper engagement with differential calculus. Incisive insights are presented throughout the book, challenging readers to consider concepts like the velocity of a moving body, the direction of the tangent at any given point on a curve, and the curvature of a given curve. Delving into topics such as particle motion and the evolute of a cycloid, the author reveals the power of differential calculus as a tool for investigating and understanding the world around us with greater precision. This book is a valuable resource for students, practitioners, and anyone seeking a deeper understanding of differential calculus and its applications. It provides a solid foundation for further exploration in mathematics and its applications to mechanics and geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781330021378_0

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