This edition presents a structured approach to analytical geometry and calculus, from basic co-ordinates to advanced topics in infinitesimal and integral calculus. It emphasizes practical techniques, such as derivatives, series, and the method of separation, with historical and mathematical context that helps readers build a solid foundation.

Foundations of differential calculus, including derivatives, infinitesimals, and the role of higher-order terms
Taylor and Maclaurin formulas, and how they reveal function behavior at and near a point
Techniques for maxima, minima, and points of inflection, with worked examples
Introduction to integral calculus, definite and indefinite integrals, and practical methods of integration

Ideal for readers of classic mathematical texts who want a rigorous, example-driven guide to the core ideas of calculus.

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