A Brief Course in the Calculus (Classic Reprint) - Softcover

William Cain

 
9780282745646: A Brief Course in the Calculus (Classic Reprint)

Synopsis

Master the essentials of calculus with a clear, beginner-friendly guide.

This classic introduction explains the working principles of limits, derivatives, and integrals in plain terms, with emphasis on fundamental concepts and practical examples. It covers graphs, functions, and the key tools students use to understand motion, area, and change.

Structured for self-study or classroom use, the book starts with analytic geometry and Cartesian coordinates, then builds up to limits, derivatives, and applications such as velocity, acceleration, and curve analysis. It includes worked examples and exercises designed to reinforce core ideas before moving to more advanced topics like infinite series and higher derivatives.

  • Foundational chapters on graphs, coordinates, and limits to build intuition
  • Step-by-step treatment of derivatives, rates, and tangent lines
  • Applications to motion, area, and volumes with worked problems
  • Introductions to series, integration, and higher-order derivatives

Ideal for readers beginning their study of calculus or seeking a solid refresher that clarifies the core concepts.

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