Items related to An Elementary Course of Infinitesimal Calculus (Classic...

An Elementary Course of Infinitesimal Calculus (Classic Reprint) - Hardcover

Horace Lamb

 
9780365457084: An Elementary Course of Infinitesimal Calculus (Classic Reprint)

Synopsis

Explore the foundations of infinitesimal calculus with a clear, practice‑oriented approach.

This classic text introduces concepts like continuity, limits, and the derived function, then builds toward integration and geometric applications. It emphasizes concrete methods, illustrated by examples, diagrams, and real‑world feel for students and self‑learners.

Structured to guide you from basic ideas to powerful techniques, the book cover topics that include continuous variation, mean values, and practical rules for definite and improper integrals. It also connects theory to geometry, offering methods for areas, volumes, and curves, along with historical context and step‑by‑step calculations.

  • Foundational definitions of continuity, functions, and limits.
  • Techniques for differentiation and integration, including applications to areas and volumes.
  • Numerical methods and mean values that illuminate approximation and estimation.
  • Geometric applications and practical examples like planimeters and curve areas.

Ideal for readers beginning the study of calculus or needing a rigorous, example‑driven reference to core ideas and methods.

"synopsis" may belong to another edition of this title.