chapterI - The introductory chapter to Apostol’s Calculus...

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Unformatted text preview: The introductory chapter to Apostol’s Calculus 1 is kind of a mish-mash of different topics, but it includes the introduction of several vital topics for the study of Calculus. 1. Section I.1: Historical Introduction This is a really introductory section, read it at least once, but it does not contain any facts/methods that you really need to know. 2. Section I.2: Some basic concepts in the theory of sets We will be working a lot with sets so it is vital you have a rough idea what a set is, and can work with the notations introduced here. A set can be viewed as a big bag, which can hold arbitrarily many items, but holds each item at most once. It gets particularly complicated when the elements of a set are themselves sets. The most important notations you should be familiar are • x ∈ A : Element of • A = { 1 , 4 , 5 } : Defining a set by listing its elements; • A ⊂ B (and derived notations as A ⊃ B , A ⊆ B , A ⊇ B ): Being contained in; • A = { x | Some condition on x } : Definition by defining property; • A ∪ B , and S n A n : Union; • A ∩ B , and T n A n : Intersection; • A- B = A \ B : Complement; • ∅ : Empty set....
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This note was uploaded on 11/19/2010 for the course ANTH 122 taught by Professor 323 during the Spring '10 term at Centennial College.

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chapterI - The introductory chapter to Apostol’s Calculus...

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