Master the practical use of calculus with a classic collection of worked examples.
This volume presents a wide range of differential and integral problems, showing how core theorems come alive in real problems. The book compiles examples that illustrate method, accuracy, and the connections between theory and computation, making it a valuable reference for students and teachers alike.
The content is organized into two parts. Part I focuses on the differentiation of algebraic and transcendental functions, with applications to series, maxima and minima, and the elimination of constants. Part II shifts to the integration of rational, irrational, logarithmic, and circular functions, including differential equations and their solutions. Across both parts, readers will see how classic results are applied to problems in geometry, curves, and physical-like scenarios, with a historical emphasis on providing a practical, compact set of exercises.
- Clear, worked examples that demonstrate differentiation and integration techniques
- Applications to geometry, curves, and optimization problems
- Structured progress from fundamental rules to advanced methods
- Coverage of both single-variable and multi-variable contexts
Ideal for readers of mathematical analysis, this edition serves as a reference and study companion for mastering tool-focused problem solving in calculus.
George Peacock is a principal at Euclid Investment Advisory.