The title is explicit: . Before the rigor of real analysis, calculus was deeply visual. Peterson masterfully uses analytic geometry (the study of geometric shapes using coordinates) to explain limits, derivatives, and integrals. He ensures that the student never forgets that a derivative is a slope and an integral is an area.
Unlike "applied calculus" which focuses on practical application, Peterson’s text emphasizes the theoretical aspects of calculus grounded in geometry, including lines, curves, circles, and trigonometry. Calculus With Analytic Geometry Pdf - Thurman Peterson