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Record Nr. |
UNINA9910464512803321 |
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Autore |
Bindner Donald |
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Titolo |
Mathematics for the liberal arts / / Donald Bindner, Martin J. Erickson, Joe Hemmeter |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2013 |
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©2013 |
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ISBN |
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1-78539-318-9 |
1-118-37174-7 |
1-118-48164-X |
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Descrizione fisica |
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1 online resource (425 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Mathematics - History |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cover ; Title Page ; Contents ; Preface ; PART I MATHEMATICS IN HISTORY; 1 the Ancient Roots of Mathematics ; 1.1 Introduction ; 1.2 Ancient Mesopotamia and Egypt ; 1.3 Early Greek Mathematics: the First Theorists ; 1.4 the Apex: Third Century Hellenistic Mathematics ; 1.5 the Slow Decline ; 2 the Growth of Mathematics to 1600 ; 2.1 China ; 2.2 India ; 2.3 Islam ; 2.4 European Mathematics Awakens ; 3 Modern Mathematics ; 3.1 the 17th Century: Scientific Revolution ; 3.2 the 18th Century: Consolidation ; 3.3 the 19th Century: Expansion ; 3.4 the 20th and 21st Centuries: Explosion |
3.5 the Future PART II TWO PILLARS OF MATHEMATICS; 4 Calculus ; 4.1 What Is Calculus? ; 4.2 Average and Instantaneous Velocity ; 4.3 Tangent Line to a Curve ; 4.4 the Derivative ; 4.5 Formulas for Derivatives ; 4.6 the Product Rule and Quotient Rule ; 4.7 the Chain Rule ; 4.8 Slopes and Optimization ; 4.9 Applying Optimization Methods ; 4.10 Differential Notation and Estimates ; 4.11 Marginal Revenue, Cost, and Profit ; 4.12 Exponential Growth ; 4.13 Periodic Functions and Trigonometry ; 4.14 the Fundamental Theorem of Calculus ; 4.15 the Riemann Integral |
4.16 Signed Areas and Other Integrals 4.17 Application: Rocket Science |
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