Calculus

Late Transcendentals, EMEA Edition

Häftad, Engelska, 2020

756 kr

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Beskrivning

Calculus: Late Transcendentals, 11th EMEA Edition strives to increase student comprehension and conceptual understanding through a balance between rigor and clarity of explanations; sound mathematics; and excellent exercises, applications, and examples. Anton pedagogically approaches Calculus through the Rule of Four, presenting concepts from the verbal, algebraic, visual, and numerical points of view.

Produktinformation

Utgivningsdatum:2020-07-16
Mått:10 x 10 x 10 mm
Vikt:454 g
Format:Häftad
Språk:Engelska
Antal sidor:1 176
Upplaga:11
Förlag:John Wiley & Sons Inc
ISBN:9781119657262

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

1 Limits and Continuity 11.1 Limits (An Intuitive Approach) 11.2 Computing Limits 131.3 Limits at Infinity; End Behavior of a Function 221.4 Limits (Discussed More Rigorously) 311.5 Continuity 401.6 Continuity of Trigonometric Functions 512 The Derivative 592.1 Tangent Lines and Rates of Change 592.2 The Derivative Function 692.3 Introduction to Techniques of Differentiation 802.4 The Product and Quotient Rules 882.5 Derivatives of Trigonometric Functions 932.6 The Chain Rule 982.7 Implicit Differentiation 1052.8 Related Rates 1122.9 Local Linear Approximation; Differentials 1193 The Derivative in Graphing and Applications 1303.1 Analysis of Functions I: Increase, Decrease, and Concavity 1303.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 1393.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 1483.4 Absolute Maxima and Minima 1573.5 Applied Maximum and Minimum Problems 1643.6 Rectilinear Motion 1773.7 Newton’s Method 1853.8 Rolle’s Theorem; Mean-Value Theorem 1914 Integration 2034.1 An Overview of the Area Problem 2034.2 The Indefinite Integral 2084.3 Integration by Substitution 2174.4 The Definition of Area as a Limit; Sigma Notation 2234.5 The Definite Integral 2334.6 The Fundamental Theorem of Calculus 2424.7 Rectilinear Motion Revisited Using Integration 2534.8 Average Value of a Function and its Applications 2624.9 Evaluating Definite Integrals by Substitution 2665 Applications of the Definite Integral in Geometry, Science, and Engineering 2775.1 Area Between Two Curves 2775.2 Volumes by Slicing; Disks and Washers 2845.3 Volumes by Cylindrical Shells 2945.4 Length of a Plane Curve 3005.5 Area of a Surface of Revolution 3065.6 Work 3115.7 Moments, Centers of Gravity, and Centroids 3195.8 Fluid Pressure and Force 3286 Exponential, Logarithmic, and Inverse Trigonometric Functions 3366.1 Exponential and Logarithmic Functions 3366.2 Derivatives and Integrals Involving Logarithmic Functions 3476.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 3536.4 Graphs and Applications Involving Logarithmic and Exponential Functions 3606.5 L’Hôpital’s Rule; Indeterminate Forms 3676.6 Logarithmic and Other Functions Defined by Integrals 3766.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 3876.8 Hyperbolic Functions and Hanging Cables 3987 Principles of Integral Evaluation 4127.1 An Overview of Integration Methods 4127.2 Integration by Parts 4157.3 Integrating Trigonometric Functions 4237.4 Trigonometric Substitutions 4317.5 Integrating Rational Functions by Partial Fractions 4377.6 Using Computer Algebra Systems and Tables of Integrals 4457.7 Numerical Integration; Simpson’s Rule 4547.8 Improper Integrals 4678 Mathematical Modeling with Differential Equations 4818.1 Modeling with Differential Equations 4818.2 Separation of Variables 4878.3 Slope Fields; Euler’s Method 4988.4 First-Order Differential Equations and Applications 5049 Infinite Series 5149.1 Sequences 5149.2 Monotone Sequences 5249.3 Infinite Series 5319.4 Convergence Tests 5399.5 The Comparison, Ratio, and Root Tests 5479.6 Alternating Series; Absolute and Conditional Convergence 5539.7 Maclaurin and Taylor Polynomials 5639.8 Maclaurin and Taylor Series; Power Series 5739.9 Convergence of Taylor Series 5829.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 59110 Parametric and Polar Curves; Conic Sections 60510.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 60510.2 Polar Coordinates 61710.3 Tangent Lines, Arc Length, and Area for Polar Curves 63010.4 Conic Sections 63910.5 Rotation of Axes; Second-Degree Equations 65610.6 Conic Sections in Polar Coordinates 66111 Three-Dimensional Space; Vectors 67411.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 67411.2 Vectors 68011.3 Dot Product; Projections 69111.4 Cross Product 70011.5 Parametric Equations of Lines 71011.6 Planes in 3-Space 71711.7 Quadric Surfaces 72511.8 Cylindrical and Spherical Coordinates 73512 Vector-Valued Functions 74412.1 Introduction to Vector-Valued Functions 74412.2 Calculus of Vector-Valued Functions 75012.3 Change of Parameter; Arc Length 75912.4 Unit Tangent, Normal, and Binormal Vectors 76812.5 Curvature 77312.6 Motion Along a Curve 78112.7 Kepler’s Laws of Planetary Motion 79413 Partial Derivatives 80513.1 Functions of Two or More Variables 80513.2 Limits and Continuity 81513.3 Partial Derivatives 82413.4 Differentiability, Differentials, and Local Linearity 83713.5 The Chain Rule 84513.6 Directional Derivatives and Gradients 85513.7 Tangent Planes and Normal Vectors 86613.8 Maxima and Minima of Functions of Two Variables 87213.9 Lagrange Multipliers 88314 Multiple Integrals 89414.1 Double Integrals 89414.2 Double Integrals over Nonrectangular Regions 90214.3 Double Integrals in Polar Coordinates 91014.4 Surface Area; Parametric Surfaces 91814.5 Triple Integrals 93014.6 Triple Integrals in Cylindrical and Spherical Coordinates 93814.7 Change of Variables in Multiple Integrals; Jacobians 94714.8 Centers of Gravity Using Multiple Integrals 95915 Topics in Vector Calculus 97115.1 Vector Fields 97115.2 Line Integrals 98015.3 Independence of Path; Conservative Vector Fields 99515.4 Green’s Theorem 100515.5 Surface Integrals 101315.6 Applications of Surface Integrals; Flux 102115.7 The Divergence Theorem 103015.8 Stokes’ Theorem 1039A AppendicesA Trigonometry Review (Summary) A1B Functions (Summary) A8C New Functions from Old (Summary) A11D Families of Functions (Summary) A16E Inverse Functions (Summary) A23Answers to Odd-Numbered Exercises A28Index I-1Web Appendices (online only)Available for download at www.wiley.com/college/anton or at www.howardanton.com and in WileyPLUS.A Trigonometry ReviewB FunctionsC New Functions from OldD Families of FunctionsE Inverse FunctionsF Real Numbers, Intervals, and InequalitiesG Absolute ValueH Coordinate Planes, Lines, And Linear FunctionsI Distance, Circles, And Quadratic EquationsJ Solving Polynomial EquationsK Graphing Functions Using Calculators and Computer Algebra SystemsL Selected ProofsM Early Parametric Equations OptionN Mathematical ModelsO The DiscriminantP Second-Order Linear Homogeneous Differential EquationsChapter Web Projects: Expanding the Calculus Horizon (online only)Available for download at www.wiley.com/college/anton or at www.howardanton.com and in WileyPLUS.Robotics – Chapter 2Railroad Design – Chapter 7Iteration and Dynamical Systems – Chapter 9Comet Collision – Chapter 10Blammo the Human Cannonball – Chapter 12Hurricane Modeling – Chapter 15