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On a New Method of Obtaining the Differentials of Functions With Especial Reference to the Newtonian Conception of Rates or Velocities (Classic Reprint) - Brossura

 
9781527808430: On a New Method of Obtaining the Differentials of Functions With Especial Reference to the Newtonian Conception of Rates or Velocities (Classic Reprint)

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This book delves into the fascinating history of calculus, offering a fresh perspective on the influential Newtonian method of fluxions. The author takes a unique approach, challenging the prevailing methods of the time that relied on limits and infinitesimals. By advocating for a return to Newton's original framework, the book argues for the clarity and accessibility of fluxions, especially for those new to the subject. It examines the objections raised against Newton's method, demonstrating their lack of merit when applied to the author's proposed approach. The book offers a thorough exploration of the concepts of differentials and rates, using clear definitions and notation. It delves into the calculation of differentials for a range of functions, from algebraic expressions to transcendental functions like logarithms and trigonometric functions. The author skillfully uses the method of rates to derive formulas for areas and volumes, showcasing the applicability of the approach beyond theoretical calculations. The book concludes by advocating for the continued relevance of the fluxional method, highlighting its potential for illuminating the foundational concepts of calculus in a way that is both rigorous and easily understood.

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John Minot Rice
Editore: Forgotten Books, 2018
ISBN 10: 1527808432 ISBN 13: 9781527808430
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John Minot Rice
Editore: Forgotten Books, 2018
ISBN 10: 1527808432 ISBN 13: 9781527808430
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John Minot Rice
Editore: Forgotten Books, 2018
ISBN 10: 1527808432 ISBN 13: 9781527808430
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Paperback. Condizione: New. Print on Demand. This book delves into the fascinating history of calculus, offering a fresh perspective on the influential Newtonian method of fluxions. The author takes a unique approach, challenging the prevailing methods of the time that relied on limits and infinitesimals. By advocating for a return to Newton's original framework, the book argues for the clarity and accessibility of fluxions, especially for those new to the subject. It examines the objections raised against Newton's method, demonstrating their lack of merit when applied to the author's proposed approach. The book offers a thorough exploration of the concepts of differentials and rates, using clear definitions and notation. It delves into the calculation of differentials for a range of functions, from algebraic expressions to transcendental functions like logarithms and trigonometric functions. The author skillfully uses the method of rates to derive formulas for areas and volumes, showcasing the applicability of the approach beyond theoretical calculations. The book concludes by advocating for the continued relevance of the fluxional method, highlighting its potential for illuminating the foundational concepts of calculus in a way that is both rigorous and easily understood. 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 9781527808430_0

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Rice, John Minot
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ISBN 10: 1527808432 ISBN 13: 9781527808430
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Condizione: New. KlappentextrnrnExcerpt from On a New Method of Obtaining the Differentials of Functions With Especial Reference to the Newtonian Conception of Rates or VelocitiesrnrnThis pamphlet is a revised edition of a paper which was read before the America. Codice articolo 2149090656

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