The Elements of the Differential Calculus: Founded on the Method of Rates of Fluxions (Classic Reprint) - Softcover
Synopsis
Master the differential calculus not through abstractions, but through rates, fluxions, and real problems.
This classic text introduces the four foundations of the subject and presents a Newtonian approach that still informs modern learning. Rich with step-by-step methods, it explains how to derive and apply differentials without relying on limits or infinitesimals alone.
The book situates calculus as a practical tool for understanding changing quantities, motion, and curves. It blends foundational theory with concrete examples, including the differentiation of algebraic and transcendental functions, and shows how these ideas apply to velocity, area, and geometric diagrams. While originally written for cadets and students, the material remains accessible to learners seeking a solid, hands-on grasp of the subject.- An accessible path from basic rates to the differential and derivative concepts.
- Guided methods for differentiating polynomials, logarithms, exponentials, and trigonometric functions.
- Clear explanations of inverse functions, quadrature, and curve-focused applications.
- Historical context that links Newtonian fluxions to practical educational use at the U.S. Naval Academy.
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The Elements of the Differential Calculus (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fundamental concepts of calculus, exploring the origins and applications of this powerful mathematical tool. The author, writing in the 17th century, presents a unique perspective on calculus, emphasizing the concept of "fluxions" - a way of understanding change and motion through continuous movement. This approach stands in contrast to earlier methods that relied on the idea of infinitesimally small parts. The author's exploration of fluxions is grounded in real-world observations of physical phenomena, illustrating how mathematical principles can be used to describe and quantify the natural world. The book delves into the relationship between change and its rate, introducing concepts like differentials and derivatives to quantify these relationships. The author's innovative approach provides a deeper understanding of how calculus can be applied to problems involving variable rates, motion, and the geometry of curves. The book's insights into the nature of change and its mathematical representation are groundbreaking for their time, providing a foundation for the development of calculus and its applications in various fields of science and engineering. 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 # 9780260583727_0
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The Elements of the Differential Calculus: Founded on the Method of Rates of Fluxions (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780260583727
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The Elements of the Differential Calculus: Founded on the Method of Rates of Fluxions (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780260583727
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