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Elements of the Differential Calculus: With Examples and Applications, a Text Book (Classic Reprint) - Softcover
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Excerpt from Elements of the Differential Calculus: With Examples and Applications, a Text Book
The following book, which embodies the results of my own experience in teaching the Calculus at Cornell and Harvard Universities, is intended for a text-book, and not for an exhaustive treatise.
Its peculiarities are the rigorous use of the Doctrine of Limits as a foundation of the subject, and as' preliminary to the adoption of the more direct and practically convenient infinitesimal notation and nomenclature; the early introduction of a few simple formulas and methods for integrating; a rather elaborate treatment of the use of infinitesimals in pure geometry; and the attempt to excite and keep up the interest of the student by bringing in throughout the whole book, and not merely at the end, numerous applications to practical problems in geometry and mechanics.
I am greatly indebted to Prof. J. M. Peirce, from whose lectures I have derived many suggestions, and to the works of Benjamin Peirce, Todhuuter, Duhamel, and Bertrand, upon which I have drawn freely.
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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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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1330021371
- ISBN 13 9781330021378
- BindingPaperback
- LanguageEnglish
- Number of pages292
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Elements of the Differential Calculus: With Examples and Applications
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Paperback. Condition: 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. Seller Inventory # 9781330021378_0
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Elements of the Differential Calculus With Examples and Applications, a Text Book Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330021378
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Elements of the Differential Calculus With Examples and Applications, a Text Book Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330021378
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Elements of the Differential Calculus : With Examples and Applications, a Text Book (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 294 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 25693799/2
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