Items related to A Primer of the Calculus, Vol. 5 (Classic Reprint)

A Primer of the Calculus, Vol. 5 (Classic Reprint) - Softcover

E. Sherman Gould

 
9781332587476: A Primer of the Calculus, Vol. 5 (Classic Reprint)

Synopsis

A Primer of the Calculus, Vol.

5 by E. Sherman Gould introduces the differential calculus and shows how its simplest ideas unlock powerful results. The book emphasizes a practical, working approach that builds confidence through stated rules and concrete examples.

The text concentrates on the first differentials of algebraic functions of one variable and their integrals. It explains the idea of infinitesimal changes, the meaning of dx, and how to form meaningful ratios with dy. The author argues for teaching a few practical rules first and using them immediately, so students see real usefulness before studying deeper theory.
  • Learn the core rule for differentiating powers and how to apply the differential of the first power of x.
  • See the treatment of infinitesimals, why squares of tiny increments are neglected, and how this leads to clear, usable results.
  • Explore worked examples involving areas, volumes, and surfaces, including how differentials connect to practical measurements.
  • Understand foundational applications, such as centers of gravity and problems involving motion, time, and fluid flow.
Ideal for readers seeking a clear, usable entry into calculus and for students who want to see how basic ideas translate into concrete calculations.

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