The Elements of the Differential Calculus: Founded on the Method of Rates of Fluxions (Classic Reprint) - Hardcover

J. Minot Rice

9780260583741: The Elements of the Differential Calculus: Founded on the Method of Rates of Fluxions (Classic Reprint)

Hardcover

ISBN 10: 026058374X ISBN 13: 9780260583741

Publisher: Forgotten Books, 2018

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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.

Ideal for readers of classic mathematical texts and students building a strong foundation in calculus fundamentals.

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