Calculus and Analysis in Euclidean Space

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Focusing on the interplay between analysis and multivariable calculus, this book offers a conceptual approach that emphasizes their connection within Euclidean space. It covers differentiation, leading to the inverse and implicit function theorems, and integration, culminating in the general fundamental theorem of integral calculus. The text strikes a balance, providing more depth than standard calculus books while remaining less technical than typical analysis introductions, making it accessible for students seeking a comprehensive understanding of these intertwined subjects.