Calculus Late Transcendentals, International Student Version

Häftad, Engelska, 2012

Av Howard Anton, Irl C. Bivens, Stephen Davis, Howard (Drexel University) Anton, Stephen (Davidson College) Davis

939 kr

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Calculus: Late Transcendentals, Tenth Edition, continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. Calculus: Late Transcendentals, Tenth Edition excels in increasing student comprehension and conceptual understanding of the mathematics. The new edition retains the strengths of earlier editions: e.g., Anton's trademark clarity of exposition; sound mathematics; excellent exercises and examples; and appropriate level, while incorporating more skill and drill problems within WileyPLUS.The seamless integration of Howard Anton's Calculus: Late Transcendentals, Tenth Edition with WileyPLUS, a research-based, online environment for effective teaching and learning, continues Anton's vision of building student confidence in mathematics because it takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and if they did it right.

Produktinformation

Utgivningsdatum2012-04-20
Mått217 x 261 x 39 mm
Vikt2 395 g
FormatHäftad
SpråkEngelska
Antal sidor1 320
Upplaga10
FörlagJohn Wiley & Sons Inc
ISBN9781118092484

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BEFORE CALCULUS 1 0.1 Functions 10.2 New Functions from Old 150.3 Families of Functions 270.4 Inverse Functions 381 LIMITS AND CONTINUITY 491.1 Limits (An Intuitive Approach) 491.2 Computing Limits 621.3 Limits at Infinity; End Behavior of a Function 711.4 Limits (Discussed More Rigorously) 811.5 Continuity 901.6 Continuity of Trigonometric Functions 1012 THE DERIVATIVE 1102.1 Tangent Lines and Rates of Change 1102.2 The Derivative Function 1222.3 Introduction to Techniques of Differentiation 1342.4 The Product and Quotient Rules 1422.5 Derivatives of Trigonometric Functions 1482.6 The Chain Rule 1532.7 Implicit Differentiation 1612.8 Related Rates 1682.9 Local Linear Approximation; Differentials 1753 THE DERIVATIVE IN GRAPHING AND APPLICATIONS 1873.1 Analysis of Functions I: Increase, Decrease, and Concavity 1873.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 1973.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 2073.4 Absolute Maxima and Minima 2163.5 Applied Maximum and Minimum Problems 2243.6 Rectilinear Motion 2383.7 Newton’s Method 2463.8 Rolle’s Theorem; Mean-Value Theorem 2524 INTEGRATION 2654.1 An Overview of the Area Problem 2654.2 The Indefinite Integral 2714.3 Integration by Substitution 2814.4 The Definition of Area as a Limit; Sigma Notation 2874.5 The Definite Integral 3004.6 The Fundamental Theorem of Calculus 3094.7 Rectilinear Motion Revisited Using Integration 3224.8 Average Value of a Function and its Applications 3324.9 Evaluating Definite Integrals by Substitution 3375 APPLICATIONS OF THE DEFINITE INTEGRAL IN GEOMETRY, SCIENCE, AND ENGINEERING 3475.1 Area Between Two Curves 3475.2 Volumes by Slicing; Disks and Washers 3555.3 Volumes by Cylindrical Shells 3655.4 Length of a Plane Curve 3715.5 Area of a Surface of Revolution 3775.6 Work 3825.7 Moments, Centers of Gravity, and Centroids 3915.8 Fluid Pressure and Force 4006 EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS 4096.1 Exponential and Logarithmic Functions 4096.2 Derivatives and Integrals Involving Logarithmic Functions 4206.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 4276.4 Graphs and Applications Involving Logarithmic and Exponential Functions 4346.5 L’Hôpital’s Rule; Indeterminate Forms 4416.6 Logarithmic and Other Functions Defined by Integrals 4506.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 4626.8 Hyperbolic Functions and Hanging Cables 4727 PRINCIPLES OF INTEGRAL EVALUATION 4887.1 An Overview of Integration Methods 4887.2 Integration by Parts 4917.3 Integrating Trigonometric Functions 5007.4 Trigonometric Substitutions 5087.5 Integrating Rational Functions by Partial Fractions 5147.6 Using Computer Algebra Systems and Tables of Integrals 5237.7 Numerical Integration; Simpson’s Rule 5337.8 Improper Integrals 5478 MATHEMATICAL MODELING WITH DIFFERENTIAL EQUATIONS 5618.1 Modeling with Differential Equations 5618.2 Separation of Variables 5688.3 Slope Fields; Euler’s Method 5798.4 First-Order Differential Equations and Applications 5869 INFINITE SERIES 5969.1 Sequences 5969.2 Monotone Sequences 6079.3 Infinite Series 6149.4 Convergence Tests 6239.5 The Comparison, Ratio, and Root Tests 6319.6 Alternating Series; Absolute and Conditional Convergence 6389.7 Maclaurin and Taylor Polynomials 6489.8 Maclaurin and Taylor Series; Power Series 6599.9 Convergence of Taylor Series 6689.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 67810 PARAMETRIC AND POLAR CURVES; CONIC SECTIONS 69210.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 69210.2 Polar Coordinates 70510.3 Tangent Lines, Arc Length, and Area for Polar Curves 71910.4 Conic Sections 73010.5 Rotation of Axes; Second-Degree Equations 74810.6 Conic Sections in Polar Coordinates 75411 THREE-DIMENSIONAL SPACE; VECTORS 76711.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 76711.2 Vectors 77311.3 Dot Product; Projections 78511.4 Cross Product 79511.5 Parametric Equations of Lines 80511.6 Planes in 3-Space 81311.7 Quadric Surfaces 82111.8 Cylindrical and Spherical Coordinates 83212 VECTOR-VALUED FUNCTIONS 84112.1 Introduction to Vector-Valued Functions 84112.2 Calculus of Vector-Valued Functions 84812.3 Change of Parameter; Arc Length 85812.4 Unit Tangent, Normal, and Binormal Vectors 86812.5 Curvature 87312.6 Motion Along a Curve 88212.7 Kepler’s Laws of Planetary Motion 89513 PARTIAL DERIVATIVES 90613.1 Functions of Two or More Variables 90613.2 Limits and Continuity 91713.3 Partial Derivatives 92713.4 Differentiability, Differentials, and Local Linearity 94013.5 The Chain Rule 94913.6 Directional Derivatives and Gradients 96013.7 Tangent Planes and Normal Vectors 97113.8 Maxima and Minima of Functions of Two Variables 97713.9 Lagrange Multipliers 98914 MULTIPLE INTEGRALS 100014.1 Double Integrals 100014.2 Double Integrals over Nonrectangular Regions 100914.3 Double Integrals in Polar Coordinates 101814.4 Surface Area; Parametric Surfaces 102614.5 Triple Integrals 103914.6 Triple Integrals in Cylindrical and Spherical Coordinates 104814.7 Change of Variables in Multiple Integrals; Jacobians 105814.8 Centers of Gravity Using Multiple Integrals 107115 TOPICS IN VECTOR CALCULUS 108415.1 Vector Fields 108415.2 Line Integrals 109415.3 Independence of Path; Conservative Vector Fields 111115.4 Green’s Theorem 112215.5 Surface Integrals 113015.6 Applications of Surface Integrals; Flux 113815.7 The Divergence Theorem 114815.8 Stokes’ Theorem 1158A APPENDICESA GRAPHING FUNCTIONS USING CALCULATORS AND COMPUTER ALGEBRA SYSTEMS A1B TRIGONOMETRY REVIEW A13C SOLVING POLYNOMIAL EQUATIONS A27D SELECTED PROOFS A34ANSWERS TO ODD-NUMBERED EXERCISES A45INDEX I-1WEB APPENDICES (online only)Available for download at www.wiley.com/go/global/anton and in WileyPLUS.E REAL NUMBERS, INTERVALS, AND INEQUALITIESF ABSOLUTE VALUEG COORDINATE PLANES, LINES, AND LINEAR FUNCTIONSH DISTANCE, CIRCLES, AND QUADRATIC EQUATIONSI EARLY PARAMETRIC EQUATIONS OPTIONJ MATHEMATICAL MODELSK THE DISCRIMINANTL SECOND-ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONSWEB PROJECTS: Expanding the Calculus Horizon (online only)Available for download at www.wiley.com/go/global/anton and in WileyPLUS.BLAMMO THE HUMAN CANNONBALLCOMET COLLISIONHURRICANE MODELINGITERATION AND DYNAMICAL SYSTEMSRAILROAD DESIGNROBOTICS