Document Type
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BL
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Record Number
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1037994
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Doc. No
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b792364
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Main Entry
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Iversen, Gudmund R.
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Title & Author
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Calculus /\ Gudmund R. Iversen.
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Publication Statement
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Thousand Oaks, Calif. :: Sage Publications,, ©1996.
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Series Statement
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Sage university papers series. Quantitative applications in the social sciences ;; no. 07-110
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Page. NO
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1 online resource (vi, 82 pages) :: illustrations
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ISBN
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0585212082
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: 141298355X
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: 1452211353
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: 9780585212081
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: 9781412983556
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: 9781452211350
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0803971109
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9780803971103
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Bibliographies/Indexes
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Includes bibliographical references (page 81).
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Contents
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1. Mathematical functions -- Graphs of functions -- Continuity -- Calculus -- Differentiation and integration -- Duality -- 2. Differentiation -- Definition of the derivative -- Simple examples -- The derivative of a sum of two functions -- Other functions -- Derivatives of a product and a quotient of two functions -- The chain rule -- Different notations -- Higher derivatives -- List of derivatives -- 3. Integration -- The definite integral -- Area and slope -- Adding small rectangles -- The fundamental theorem of calculus -- The integral as a function of a limit -- Specific integrals -- Integration methods -- List of integrals -- 4. Applications -- Maximum and minimum -- Integration -- Distance, speed, and acceleration -- Applications in statistics -- Applications in the social sciences.
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Abstract
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This overview of the central ideas of calculus provides many examples of how calculus is used to translate many real world phenomena into mathematical functions.
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Subject
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Calculus.
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Subject
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Calcul infinitésimal.
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Subject
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Calcul différentiel.
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Subject
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Calcul intégral.
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Subject
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Calculus.
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Subject
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Estatistica aplicada as ciencias sociais.
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Subject
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Infinitesimalrechnung
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Subject
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MATHEMATICS-- Calculus.
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Subject
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MATHEMATICS-- Mathematical Analysis.
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Subject
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Analyse (wiskunde)
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Subject
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Differentiaalrekening.
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Dewey Classification
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515
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LC Classification
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QA303.I94 1996eb
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NLM classification
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70.03bcl
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