A clear, practical introduction to differential calculus that builds from elementary ideas to real‑world applications. This edition presents favorite algebraic problems in the context where the calculus is used to solve them, helping you see the logic behind the rules.
Designed as a handy reference for a broad math course, it emphasizes the development of analytical thinking with a steady, step‑by‑step approach. The text combines rigorous method with approachable explanations, making it useful for self‑study as well as classroom work.
- Foundational concepts: variables, functions, and the idea of a differential.
- Rules and techniques for differentiating a wide range of functions, including implicit cases.
- Applications to optimization problems, including maxima and minima, and the use of Taylor's theorem.
- Extended topics: functions of two independent variables and the geometry of their behavior.
Ideal for readers of introductory calculus who want a solid, practical grounding and approachable explanations.