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...Introductory calculus notes ambar n sengupta th november contents preface introduction sets language and notation elements everything from nothing subsets union intersections complements integers rationals cartesian products mappings functions sequences the extended real line suprema inma completeness upper bounds lower sup inf more on neighborhoods open closed intervals types of points for a set interior exterior boundary topology in r magnitude distance absolute value inequalities equalities limits x afunction with no lim sups infs properties up down standard denition working rules by comparing composite trigonometric measuring angles geometric specication sin cos tan reciprocals identities graphs postcript exercises continuity at point discontinuities...