Calculus with Differential Equations
by Dale Varberg, Edwin Purcell, Steve Rigdon
This comprehensive calculus text moves from foundational concepts through limits, derivatives, integrals, series, multivariable calculus, vector calculus, and differential equations. It also explores applications including geometry, motion, probability, work, fluid pressure, and mathematical modeling, providing a broad reference for calculus study.
About This Book
Calculus with Differential Equations presents a broad study of calculus, beginning with real numbers, functions, graphs, trigonometric functions, limits, and continuity.
The text develops differential and integral calculus, including differentiation rules, applications of derivatives, definite integrals, numerical integration, and applications involving area, volume, work, probability, and center of mass.
Later chapters address transcendental functions, integration techniques, improper integrals, infinite series, conics, polar coordinates, geometry in space, vectors, and functions of several variables.
Coverage extends to multiple integration, vector fields, line and surface integrals, Green's Theorem, the Divergence Theorem, Stokes's Theorem, and first- and second-order differential equations.
An appendix includes mathematical induction and proofs of several theorems.
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