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Excerpt from The Fundamental Theorems of the Differential Calculus
The theory of those functions that correspond to the differential coefficient at a point at which this latter does not exist, does not fall naturally within our scope. Some of the remarkable properties of these interesting functions, with other generalities, are, however, stated without proof in Appendix I.
The theory of Maxima and Minima has been barely alluded to, and the complex variable has been rigorously excluded. Apart from other considerations the space at our disposal has here been decisive. For the same reason it has been impossible to give more than a few isolated examples. Appendix II consists of references to some of the existing literature, where such examples may be found.
It is perhaps well to warn the English reader in conclusion that such initial difficulties as he may feel are likely to be due, in part at least, to a lack of familiarity with the modern formulation of the concept of an irrational number.
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The Fundamental Theorems of the Differential Calculus (Classic Reprint)
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The Fundamental Theorems of the Differential Calculus (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book delves into the fundamental theorems of differential calculus, exploring the concept of a function and its derivatives. The author provides readers with a rigorous foundation in the theory of functions, examining ideas such as continuity, semi-continuity, and the existence and uniqueness of limits. The book situates differential calculus within its broader mathematical context, establishing connections with other areas and demonstrating its importance in real-world applications. Differential calculus, as the author shows, is a versatile tool used to study rates of change and analyze functions, making it essential in various fields such as physics, economics, and engineering. Beyond its theoretical underpinnings, this book emphasizes the practical applications of differential calculus. Readers will learn to use differential calculus to solve problems in optimization, approximation, and curve sketching. By providing a comprehensive treatment of the subject, this book empowers readers to confidently apply differential calculus in their chosen fields. 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 9781330299944_0
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