A Visual Introduction To Differential Forms And Calculus On Manifolds
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This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the
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This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students
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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology,