An Elementary Treatise on the Differential Calculus: Founded on the Method of Rates or Fluxions (Classic Reprint) - Softcover

John Minot Rice

 
9781330583296: An Elementary Treatise on the Differential Calculus: Founded on the Method of Rates or Fluxions (Classic Reprint)

Synopsis

This book scrutinizes the nuances of differential calculus, delving into its techniques and their real-world applications. Progressing from basic definitions to advanced concepts, it provides a solid understanding of the subject. Through the application of logarithmic differentiation, it explores the derivatives of algebraic and transcendental functions. The book also investigates the behavior of functions through successive differentiation, uncovering points of inflection and the curvature of curves. The concepts of velocity and acceleration are examined, laying the groundwork for understanding kinematics. The final chapters explore more advanced topics such as the chain rule, implicit differentiation, and the inverse function theorem. The book's rigorous approach and comprehensive coverage make it an indispensable resource for students, researchers, and practitioners seeking to master differential calculus and its applications in various fields.

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