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This textbook beneficial properties purposes together with an evidence of the elemental Theorem of Algebra, area filling curves, and the speculation of irrational numbers. as well as the normal result of complicated calculus, the e-book includes numerous fascinating purposes of those effects. The textual content is meant to shape a bridge among calculus and research. it truly is in response to the authors lecture notes used and revised approximately each year over the past decade. The booklet includes various illustrations and pass references all through, in addition to workouts with suggestions on the finish of every part.

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