If your goal is simply to learn multivariable calculus (not to match specific homework problems), consider (by Gilbert Strang, et al.). It is a free, legal, verified PDF. The sequence of topics mirrors Edwards & Penney, and it is used by hundreds of universities as a primary text.
Optimization problems, including local extrema and Lagrange multipliers. Multiple Integrals Double integrals over rectangular and general regions.
Foundational work on dot products, cross products, and matrices. Partial Differentiation: Techniques for finding derivatives in multiple dimensions. Multiple Integrals: Double and triple integrals over varied regions. Vector Calculus: If your goal is simply to learn multivariable
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Students learn to calculate volumes, masses, and surface areas by integrating over regions. Double integrals over rectangular and general regions. Double integrals in polar coordinates. Free PDFs often have missing pages
Short biographical sketches put mathematical discoveries in historical context, humanizing the formulas.
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