{"product_id":"calculus-9781119657262","title":"Calculus","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e1 Limits and Continuity 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Limits (An Intuitive Approach) 1\u003c\/p\u003e \u003cp\u003e1.2 Computing Limits 13\u003c\/p\u003e \u003cp\u003e1.3 Limits at Infinity; End Behavior of a Function 22\u003c\/p\u003e \u003cp\u003e1.4 Limits (Discussed More Rigorously) 31\u003c\/p\u003e \u003cp\u003e1.5 Continuity 40\u003c\/p\u003e \u003cp\u003e1.6 Continuity of Trigonometric Functions 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 The Derivative 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Tangent Lines and Rates of Change 59\u003c\/p\u003e \u003cp\u003e2.2 The Derivative Function 69\u003c\/p\u003e \u003cp\u003e2.3 Introduction to Techniques of Differentiation 80\u003c\/p\u003e \u003cp\u003e2.4 The Product and Quotient Rules 88\u003c\/p\u003e \u003cp\u003e2.5 Derivatives of Trigonometric Functions 93\u003c\/p\u003e \u003cp\u003e2.6 The Chain Rule 98\u003c\/p\u003e \u003cp\u003e2.7 Implicit Differentiation 105\u003c\/p\u003e \u003cp\u003e2.8 Related Rates 112\u003c\/p\u003e \u003cp\u003e2.9 Local Linear Approximation; Differentials 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 The Derivative in Graphing and Applications 130\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Analysis of Functions I: Increase, Decrease, and Concavity 130\u003c\/p\u003e \u003cp\u003e3.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 139\u003c\/p\u003e \u003cp\u003e3.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 148\u003c\/p\u003e \u003cp\u003e3.4 Absolute Maxima and Minima 157\u003c\/p\u003e \u003cp\u003e3.5 Applied Maximum and Minimum Problems 164\u003c\/p\u003e \u003cp\u003e3.6 Rectilinear Motion 177\u003c\/p\u003e \u003cp\u003e3.7 Newton’s Method 185\u003c\/p\u003e \u003cp\u003e3.8 Rolle’s Theorem; Mean-Value Theorem 191\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Integration 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 An Overview of the Area Problem 203\u003c\/p\u003e \u003cp\u003e4.2 The Indefinite Integral 208\u003c\/p\u003e \u003cp\u003e4.3 Integration by Substitution 217\u003c\/p\u003e \u003cp\u003e4.4 The Definition of Area as a Limit; Sigma Notation 223\u003c\/p\u003e \u003cp\u003e4.5 The Definite Integral 233\u003c\/p\u003e \u003cp\u003e4.6 The Fundamental Theorem of Calculus 242\u003c\/p\u003e \u003cp\u003e4.7 Rectilinear Motion Revisited Using Integration 253\u003c\/p\u003e \u003cp\u003e4.8 Average Value of a Function and its Applications 262\u003c\/p\u003e \u003cp\u003e4.9 Evaluating Definite Integrals by Substitution 266\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Applications of the Definite Integral in Geometry, Science, and Engineering 277\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Area Between Two Curves 277\u003c\/p\u003e \u003cp\u003e5.2 Volumes by Slicing; Disks and Washers 284\u003c\/p\u003e \u003cp\u003e5.3 Volumes by Cylindrical Shells 294\u003c\/p\u003e \u003cp\u003e5.4 Length of a Plane Curve 300\u003c\/p\u003e \u003cp\u003e5.5 Area of a Surface of Revolution 306\u003c\/p\u003e \u003cp\u003e5.6 Work 311\u003c\/p\u003e \u003cp\u003e5.7 Moments, Centers of Gravity, and Centroids 319\u003c\/p\u003e \u003cp\u003e5.8 Fluid Pressure and Force 328\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Exponential, Logarithmic, and Inverse Trigonometric Functions 336\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Exponential and Logarithmic Functions 336\u003c\/p\u003e \u003cp\u003e6.2 Derivatives and Integrals Involving Logarithmic Functions 347\u003c\/p\u003e \u003cp\u003e6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 353\u003c\/p\u003e \u003cp\u003e6.4 Graphs and Applications Involving Logarithmic and Exponential Functions 360\u003c\/p\u003e \u003cp\u003e6.5 L’Hôpital’s Rule; Indeterminate Forms 367\u003c\/p\u003e \u003cp\u003e6.6 Logarithmic and Other Functions Defined by Integrals 376\u003c\/p\u003e \u003cp\u003e6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 387\u003c\/p\u003e \u003cp\u003e6.8 Hyperbolic Functions and Hanging Cables 398\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Principles of Integral Evaluation 412\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 An Overview of Integration Methods 412\u003c\/p\u003e \u003cp\u003e7.2 Integration by Parts 415\u003c\/p\u003e \u003cp\u003e7.3 Integrating Trigonometric Functions 423\u003c\/p\u003e \u003cp\u003e7.4 Trigonometric Substitutions 431\u003c\/p\u003e \u003cp\u003e7.5 Integrating Rational Functions by Partial Fractions 437\u003c\/p\u003e \u003cp\u003e7.6 Using Computer Algebra Systems and Tables of Integrals 445\u003c\/p\u003e \u003cp\u003e7.7 Numerical Integration; Simpson’s Rule 454\u003c\/p\u003e \u003cp\u003e7.8 Improper Integrals 467\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Mathematical Modeling with Differential Equations 481\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Modeling with Differential Equations 481\u003c\/p\u003e \u003cp\u003e8.2 Separation of Variables 487\u003c\/p\u003e \u003cp\u003e8.3 Slope Fields; Euler’s Method 498\u003c\/p\u003e \u003cp\u003e8.4 First-Order Differential Equations and Applications 504\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Infinite Series 514\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Sequences 514\u003c\/p\u003e \u003cp\u003e9.2 Monotone Sequences 524\u003c\/p\u003e \u003cp\u003e9.3 Infinite Series 531\u003c\/p\u003e \u003cp\u003e9.4 Convergence Tests 539\u003c\/p\u003e \u003cp\u003e9.5 The Comparison, Ratio, and Root Tests 547\u003c\/p\u003e \u003cp\u003e9.6 Alternating Series; Absolute and Conditional Convergence 553\u003c\/p\u003e \u003cp\u003e9.7 Maclaurin and Taylor Polynomials 563\u003c\/p\u003e \u003cp\u003e9.8 Maclaurin and Taylor Series; Power Series 573\u003c\/p\u003e \u003cp\u003e9.9 Convergence of Taylor Series 582\u003c\/p\u003e \u003cp\u003e9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 591\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Parametric and Polar Curves; Conic Sections 605\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 605\u003c\/p\u003e \u003cp\u003e10.2 Polar Coordinates 617\u003c\/p\u003e \u003cp\u003e10.3 Tangent Lines, Arc Length, and Area for Polar Curves 630\u003c\/p\u003e \u003cp\u003e10.4 Conic Sections 639\u003c\/p\u003e \u003cp\u003e10.5 Rotation of Axes; Second-Degree Equations 656\u003c\/p\u003e \u003cp\u003e10.6 Conic Sections in Polar Coordinates 661\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Three-Dimensional Space; Vectors 674\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 674\u003c\/p\u003e \u003cp\u003e11.2 Vectors 680\u003c\/p\u003e \u003cp\u003e11.3 Dot Product; Projections 691\u003c\/p\u003e \u003cp\u003e11.4 Cross Product 700\u003c\/p\u003e \u003cp\u003e11.5 Parametric Equations of Lines 710\u003c\/p\u003e \u003cp\u003e11.6 Planes in 3-Space 717\u003c\/p\u003e \u003cp\u003e11.7 Quadric Surfaces 725\u003c\/p\u003e \u003cp\u003e11.8 Cylindrical and Spherical Coordinates 735\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Vector-Valued Functions 744\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction to Vector-Valued Functions 744\u003c\/p\u003e \u003cp\u003e12.2 Calculus of Vector-Valued Functions 750\u003c\/p\u003e \u003cp\u003e12.3 Change of Parameter; Arc Length 759\u003c\/p\u003e \u003cp\u003e12.4 Unit Tangent, Normal, and Binormal Vectors 768\u003c\/p\u003e \u003cp\u003e12.5 Curvature 773\u003c\/p\u003e \u003cp\u003e12.6 Motion Along a Curve 781\u003c\/p\u003e \u003cp\u003e12.7 Kepler’s Laws of Planetary Motion 794\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Partial Derivatives 805\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Functions of Two or More Variables 805\u003c\/p\u003e \u003cp\u003e13.2 Limits and Continuity 815\u003c\/p\u003e \u003cp\u003e13.3 Partial Derivatives 824\u003c\/p\u003e \u003cp\u003e13.4 Differentiability, Differentials, and Local Linearity 837\u003c\/p\u003e \u003cp\u003e13.5 The Chain Rule 845\u003c\/p\u003e \u003cp\u003e13.6 Directional Derivatives and Gradients 855\u003c\/p\u003e \u003cp\u003e13.7 Tangent Planes and Normal Vectors 866\u003c\/p\u003e \u003cp\u003e13.8 Maxima and Minima of Functions of Two Variables 872\u003c\/p\u003e \u003cp\u003e13.9 Lagrange Multipliers 883\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Multiple Integrals 894\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Double Integrals 894\u003c\/p\u003e \u003cp\u003e14.2 Double Integrals over Nonrectangular Regions 902\u003c\/p\u003e \u003cp\u003e14.3 Double Integrals in Polar Coordinates 910\u003c\/p\u003e \u003cp\u003e14.4 Surface Area; Parametric Surfaces 918\u003c\/p\u003e \u003cp\u003e14.5 Triple Integrals 930\u003c\/p\u003e \u003cp\u003e14.6 Triple Integrals in Cylindrical and Spherical Coordinates 938\u003c\/p\u003e \u003cp\u003e14.7 Change of Variables in Multiple Integrals; Jacobians 947\u003c\/p\u003e \u003cp\u003e14.8 Centers of Gravity Using Multiple Integrals 959\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Topics in Vector Calculus 971\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Vector Fields 971\u003c\/p\u003e \u003cp\u003e15.2 Line Integrals 980\u003c\/p\u003e \u003cp\u003e15.3 Independence of Path; Conservative Vector Fields 995\u003c\/p\u003e \u003cp\u003e15.4 Green’s Theorem 1005\u003c\/p\u003e \u003cp\u003e15.5 Surface Integrals 1013\u003c\/p\u003e \u003cp\u003e15.6 Applications of Surface Integrals; Flux 1021\u003c\/p\u003e \u003cp\u003e15.7 The Divergence Theorem 1030\u003c\/p\u003e \u003cp\u003e15.8 Stokes’ Theorem 1039\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Appendices\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Trigonometry Review (Summary) A1\u003c\/p\u003e \u003cp\u003eB Functions (Summary) A8\u003c\/p\u003e \u003cp\u003eC New Functions from Old (Summary) A11\u003c\/p\u003e \u003cp\u003eD Families of Functions (Summary) A16\u003c\/p\u003e \u003cp\u003eE Inverse Functions (Summary) A23\u003c\/p\u003e \u003cp\u003eAnswers to Odd-Numbered Exercises A28\u003c\/p\u003e \u003cp\u003eIndex I-1\u003c\/p\u003e \u003cp\u003e\u003cb\u003eWeb Appendices (online only)\u003cbr\u003e \u003c\/b\u003eAvailable for download at www.wiley.com\u003ci\u003e\/\u003c\/i\u003ecollege\u003ci\u003e\/\u003c\/i\u003eanton or at www.howardanton.com and in \u003ci\u003eWileyPLUS\u003c\/i\u003e.\u003c\/p\u003e \u003cp\u003eA Trigonometry Review\u003c\/p\u003e \u003cp\u003eB Functions\u003c\/p\u003e \u003cp\u003eC New Functions from Old\u003c\/p\u003e \u003cp\u003eD Families of Functions\u003c\/p\u003e \u003cp\u003eE Inverse Functions\u003c\/p\u003e \u003cp\u003eF Real Numbers, Intervals, and Inequalities\u003c\/p\u003e \u003cp\u003eG Absolute Value\u003c\/p\u003e \u003cp\u003eH Coordinate Planes, Lines, And Linear Functions\u003c\/p\u003e \u003cp\u003eI Distance, Circles, And Quadratic Equations\u003c\/p\u003e \u003cp\u003eJ Solving Polynomial Equations\u003c\/p\u003e \u003cp\u003eK Graphing Functions Using Calculators and Computer Algebra Systems\u003c\/p\u003e \u003cp\u003eL Selected Proofs\u003c\/p\u003e \u003cp\u003eM Early Parametric Equations Option\u003c\/p\u003e \u003cp\u003eN Mathematical Models\u003c\/p\u003e \u003cp\u003eO The Discriminant\u003c\/p\u003e \u003cp\u003eP Second-Order Linear Homogeneous Differential Equations\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter Web Projects: Expanding the Calculus Horizon (online only)\u003cbr\u003e \u003c\/b\u003eAvailable for download at www.wiley.com\u003ci\u003e\/\u003c\/i\u003ecollege\u003ci\u003e\/\u003c\/i\u003eanton or at www.howardanton.com and in \u003ci\u003eWileyPLUS\u003c\/i\u003e.\u003c\/p\u003e \u003cp\u003eRobotics – Chapter 2\u003c\/p\u003e \u003cp\u003eRailroad Design – Chapter 7\u003c\/p\u003e \u003cp\u003eIteration and Dynamical Systems – Chapter 9\u003c\/p\u003e \u003cp\u003eComet Collision – Chapter 10\u003c\/p\u003e \u003cp\u003eBlammo the Human Cannonball – Chapter 12\u003c\/p\u003e \u003cp\u003eHurricane Modeling – Chapter 15\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407111659863,"sku":"9781119657262","price":51.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119657262.jpg?v=1730498218","url":"https:\/\/bookcurl.com\/products\/calculus-9781119657262","provider":"Book Curl","version":"1.0","type":"link"}