Calculus: Early Transcendentals

Calculus is developed from foundational mathematical concepts to advanced multivariable analysis, emphasizing both theoretical understanding and real-world applications. It covers limits, derivatives, integrals, differential equations, infinite series, parametric and polar equations, vector geometry, multivariable calculus, and vector analysis, providing the mathematical tools needed to model change, motion, optimization, and complex systems across science, engineering, economics, and the physical sciences.