Synopsis
This book introduces readers to the Differential Calculus, a versatile mathematical tool developed in the 17th century. The Differential Calculus is used to find the derivatives of functions, which measure the rate of change of a function with respect to its input. Derivatives are used extensively in mathematics and its applications, including finding the slope of a curve at a given point, determining the maximum or minimum value of a function, and solving differential equations. The author begins by establishing the need for new mathematical techniques to solve problems involving continuously changing variables. They then introduce the concept of infinitesimals, which are quantities that are smaller than any assignable value but not zero, and use them to define the derivative as the limit of the ratio of increments of the function and its variable. The book subsequently explores various applications of the Differential Calculus, including finding the tangents to curves and solving problems of maxima and minima. Through the clear and methodical exposition of the subject, this book provides a valuable introduction to the Differential Calculus and its significance in understanding and solving problems across diverse fields.
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Elements of the Differential and Integral Calculus (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book introduces readers to the Differential Calculus, a versatile mathematical tool developed in the 17th century. The Differential Calculus is used to find the derivatives of functions, which measure the rate of change of a function with respect to its input. Derivatives are used extensively in mathematics and its applications, including finding the slope of a curve at a given point, determining the maximum or minimum value of a function, and solving differential equations. The author begins by establishing the need for new mathematical techniques to solve problems involving continuously changing variables. They then introduce the concept of infinitesimals, which are quantities that are smaller than any assignable value but not zero, and use them to define the derivative as the limit of the ratio of increments of the function and its variable. The book subsequently explores various applications of the Differential Calculus, including finding the tangents to curves and solving problems of maxima and minima. Through the clear and methodical exposition of the subject, this book provides a valuable introduction to the Differential Calculus and its significance in understanding and solving problems across diverse 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 # 9781333821814_0
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Elements of the Differential and Integral Calculus Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333821814
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Elements of the Differential and Integral Calculus Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333821814