Synopsis
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.
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Book Description
Originally published in 1910 in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book deals with differential calculus and its underlying structures. Appendices on further reading and clarification of certain points are also included. This tract will be of value to anyone with an interest in the history of mathematics or calculus.
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The Fundamental Theorems of the Differential Calculus (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9781330299944_0
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