Master the differential calculus with a clear, rate-minded approach
This classic text teaches how to understand rates, derivatives, and curve tracing by defining dx and dy from the start, then building toward limits when you’re ready to use them.
This edition emphasizes a practical, example-driven path. It presents the subject through a sequence of short sections, each followed by plenty of problems. The authors focus on geometric and kinematic ideas, with extensive space given to applications in curve tracing and higher plane curves. Think of this as a principled foundation that connects theory to real calculations, not just abstract theorems.
What you’ll experience
- A teaching-first structure designed for classroom use, with guided progression and teacher-friendly examples
- Clear explanations of rates, derivatives, and the meaning of the differential
- Step-by-step methods for maxima, minima, and indeterminate forms without relying on heavy limits
- A broad set of geometric applications and curve-tracing techniques to reinforce concepts
Ideal for students of the historical development of calculus, and readers seeking a rate-focused introduction to differential calculus from a 19th-century perspective.