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Calculus, Early Transcendentals

Edwards, C. Henry; Penney, David E.

Verlag: Pearson, 2007
ISBN 10: 0131569899 / ISBN 13: 9780131569898
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Titel: Calculus, Early Transcendentals

Verlag: Pearson

Erscheinungsdatum: 2007

Einband: Hardcover

Zustand: New

Beschreibung:

Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: TABLE OF CONTENTSAbout the AuthorsPreface1 Functions, Graphs, and Models1.1 Functions and Mathematical ModelingInvestigation: Designing a Wading Pool1.2 Graphs of Equations and Functions1.3 Polynomials and Algebraic Functions1.4 Transcendental Functions1.5 Preview: What Is Calculus?REVIEW Understanding: Concepts and DefinitionsObjectives: Methods and Techniques2 Prelude to Calculus2.1 Tangent Lines and Slope PredictorsInvestigation: Numerical Slope Investigations2.2 The Limit ConceptInvestigation: Limits, Slopes, and Logarithms2.3 More About LimitsInvestigation: Numerical Epsilon-Delta Limits2.4 The Concept of ContinuityREVIEW - Understanding: Concepts and DefinitionsObjectives: Methods and Techniques3 The Derivative3.1 The Derivative and Rates of Change3.2 Basic Differentiation Rules3.3 The Chain Rule3.4 Derivatives of Algebraic Functions3.5 Maxima and Minima of Functions on Closed IntervalsInvestigation: When Is Your Coffee Cup Stablest?3.6 Applied Optimization Problems3.7 Derivatives of Trigonometric Functions3.8 Exponential and Logarithmic FunctionsInvestigation: Discovering the Number e for Yourself3.9 Implicit Differentiation and Related RatesInvestigation: Constructing the Folium of Descartes3.10 Successive Approximations and Newton's MethodInvestigation: How Deep Does a Floating Ball Sink?REVIEW Understanding: Concepts, Definitions, and FormulasObjectives: Methods and Techniques4 Additional Applications of the Derivative4.1 Introduction4.2 Increments, Differentials, and Linear Approximation4.3 Increasing and Decreasing Functions and the Mean Value Theorem4.4 The First Derivative Test and ApplicationsInvestigation: Constructing a Candy Box With Lid4.5 Simple Curve Sketching4.6 Higher Derivatives and Concavity4.7 Curve Sketching and AsymptotesInvestigation: Locating Special Points on Exotic Graphs4.8 Indeterminate Forms and L'Hapital's Rule4.9 More Indeterminate FormsREVIEW - Understanding: Concepts, Definitions, and ResultsObjectives: Methods and Techniques5 The Integral5.1 Introduction5.2 Antiderivatives and Initial Value Problems5.3 Elementary Area Computations5.4 Riemann Sums and the IntegralInvestigation: Calculator/Computer Riemann Sums5.5 Evaluation of Integrals5.6 The Fundamental Theorem of Calculus5.7 Integration by Substitution5.8 Areas of Plane Regions5.9 Numerical IntegrationInvestigation: Trapezoidal and Simpson ApproximationsREVIEW Understanding: Concepts, Definitions, and ResultsObjectives: Methods and Techniques6 Applications of the Integral6.1 Riemann Sum Approximations6.2 Volumes by the Method of Cross Sections6.3 Volumes by the Method of Cylindrical ShellsInvestigation: Design Your Own Ring!6.4 Arc Length and Surface Area of Revolution6.5 Force and Work6.6 Centroids of Plane Regions and Curves6.7 The Natural Logarithm as an IntegralInvestigation: Natural Functional Equations6.8 Inverse Trigonometric Functions6.9 Hyperbolic FunctionsREVIEW - Understanding: Concepts, Definitions, and FormulasObjectives: Methods and Techniques7 Techniques of Integration7.1 Introduction<. Buchnummer des Verkäufers ABE_book_new_0131569899

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The Seventh Edition of this highly dependable book retains its best features?it keeps the accuracy, mathematical precision, and rigor appropriate that it is known for. This book contains an entire six chapters on early transcendental calculus and a chapter on differential equations and their applications. For professionals who want to brush up on their calculus skills.

Klappentext: This revision is nearly a new book—yet it retains the accuracy, mathematical precision, and rigor appropriate that it is known for. This book contains an entire six chapters on early transcendental calculus and a completely new chapter on differential equations and their applications. For professionals who want to brush up on their calculus skills.

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