{"product_id":"calculus-9781119778189","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\u003ePREFACE vii\u003c\/p\u003e \u003cp\u003eSUPPLEMENTS ix\u003c\/p\u003e \u003cp\u003eACKNOWLEDGMENTS xi\u003c\/p\u003e \u003cp\u003eTHE ROOTS OF CALCULUS xv\u003c\/p\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 21\u003c\/p\u003e \u003cp\u003e1.4 Limits (Discussed More Rigorously) 30\u003c\/p\u003e \u003cp\u003e1.5 Continuity 39\u003c\/p\u003e \u003cp\u003e1.6 Continuity of Trigonometric Functions 50\u003c\/p\u003e \u003cp\u003e1.7 Inverse Trigonometric Functions 55\u003c\/p\u003e \u003cp\u003e1.8 Exponential and Logarithmic Functions 62\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 The Derivative 77 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Tangent Lines and Rates of Change 77\u003c\/p\u003e \u003cp\u003e2.2 The Derivative Function 87\u003c\/p\u003e \u003cp\u003e2.3 Introduction to Techniques of Differentiation 98\u003c\/p\u003e \u003cp\u003e2.4 The Product and Quotient Rules 105\u003c\/p\u003e \u003cp\u003e2.5 Derivatives of Trigonometric Functions 110\u003c\/p\u003e \u003cp\u003e2.6 The Chain Rule 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Topics in Differentiation 124 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Implicit Differentiation 124\u003c\/p\u003e \u003cp\u003e3.2 Derivatives of Logarithmic Functions 131\u003c\/p\u003e \u003cp\u003e3.3 Derivatives of Exponential and Inverse Trigonometric Functions 136\u003c\/p\u003e \u003cp\u003e3.4 Related Rates 142\u003c\/p\u003e \u003cp\u003e3.5 Local Linear Approximation; Differentials 149\u003c\/p\u003e \u003cp\u003e3.6 L’Hoˆ pital’s Rule; Indeterminate Forms 157\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The Derivative in Graphing \u003c\/b\u003e\u003cb\u003eand Applications 169 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Analysis of Functions I: Increase, Decrease, and Concavity 169\u003c\/p\u003e \u003cp\u003e4.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 180\u003c\/p\u003e \u003cp\u003e4.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 189\u003c\/p\u003e \u003cp\u003e4.4 Absolute Maxima and Minima 200\u003c\/p\u003e \u003cp\u003e4.5 Applied Maximum and Minimum Problems 208\u003c\/p\u003e \u003cp\u003e4.6 Rectilinear Motion 222\u003c\/p\u003e \u003cp\u003e4.7 Newton’s Method 230\u003c\/p\u003e \u003cp\u003e4.8 Rolle’s Theorem; Mean-Value Theorem 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Integration 249 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 An Overview of the Area Problem 249\u003c\/p\u003e \u003cp\u003e5.2 The Indefinite Integral 254\u003c\/p\u003e \u003cp\u003e5.3 Integration by Substitution 264\u003c\/p\u003e \u003cp\u003e5.4 The Definition of Area as a Limit; Sigma Notation 271\u003c\/p\u003e \u003cp\u003e5.5 The Definite Integral 281\u003c\/p\u003e \u003cp\u003e5.6 The Fundamental Theorem of Calculus 290\u003c\/p\u003e \u003cp\u003e5.7 Rectilinear Motion Revisited Using Integration 302\u003c\/p\u003e \u003cp\u003e5.8 Average Value of a Function and its Applications 310\u003c\/p\u003e \u003cp\u003e5.9 Evaluating Definite Integrals by Substitution 315\u003c\/p\u003e \u003cp\u003e5.10 Logarithmic and Other Functions Defined by Integrals 320\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Applications of the Definite \u003c\/b\u003e\u003cb\u003eIntegral in Geometry, Science, and Engineering 336 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Area Between Two Curves 336\u003c\/p\u003e \u003cp\u003e6.2 Volumes by Slicing; Disks and Washers 344\u003c\/p\u003e \u003cp\u003e6.3 Volumes by Cylindrical Shells 354\u003c\/p\u003e \u003cp\u003e6.4 Length of a Plane Curve 360\u003c\/p\u003e \u003cp\u003e6.5 Area of a Surface of Revolution 365\u003c\/p\u003e \u003cp\u003e6.6 Work 370\u003c\/p\u003e \u003cp\u003e6.7 Moments, Centers of Gravity, and Centroids 378\u003c\/p\u003e \u003cp\u003e6.8 Fluid Pressure and Force 387\u003c\/p\u003e \u003cp\u003e6.9 Hyperbolic Functions and Hanging Cables 392\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Principles of Integral \u003c\/b\u003e\u003cb\u003eEvaluation 406 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 An Overview of Integration Methods 406\u003c\/p\u003e \u003cp\u003e7.2 Integration by Parts 409\u003c\/p\u003e \u003cp\u003e7.3 Integrating Trigonometric Functions 417\u003c\/p\u003e \u003cp\u003e7.4 Trigonometric Substitutions 424\u003c\/p\u003e \u003cp\u003e7.5 Integrating Rational Functions by Partial Fractions 430\u003c\/p\u003e \u003cp\u003e7.6 Using Computer Algebra Systems and Tables of Integrals 437\u003c\/p\u003e \u003cp\u003e7.7 Numerical Integration; Simpson’s Rule 446\u003c\/p\u003e \u003cp\u003e7.8 Improper Integrals 458\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Mathematical Modeling \u003c\/b\u003e\u003cb\u003ewith Differential Equations 471 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Modeling with Differential Equations 471\u003c\/p\u003e \u003cp\u003e8.2 Separation of Variables 477\u003c\/p\u003e \u003cp\u003e8.3 Slope Fields; Euler’s Method 488\u003c\/p\u003e \u003cp\u003e8.4 First-Order Differential Equations and Applications 494\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Infinite Series 504 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Sequences 504\u003c\/p\u003e \u003cp\u003e9.2 Monotone Sequences 513\u003c\/p\u003e \u003cp\u003e9.3 Infinite Series 520\u003c\/p\u003e \u003cp\u003e9.4 Convergence Tests 528\u003c\/p\u003e \u003cp\u003e9.5 The Comparison, Ratio, and Root Tests 534\u003c\/p\u003e \u003cp\u003e9.6 Alternating Series; Absolute and Conditional Convergence 539\u003c\/p\u003e \u003cp\u003e9.7 Maclaurin and Taylor Polynomials 549\u003c\/p\u003e \u003cp\u003e9.8 Maclaurin and Taylor Series; Power Series 559\u003c\/p\u003e \u003cp\u003e9.9 Convergence of Taylor Series 567\u003c\/p\u003e \u003cp\u003e9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series 575\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Parametric and Polar Curves; \u003c\/b\u003e\u003cb\u003eConic Sections 588 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Parametric Equations; Tangent Lines and Arc Length for Parametric Curves 588\u003c\/p\u003e \u003cp\u003e10.2 Polar Coordinates 600\u003c\/p\u003e \u003cp\u003e10.3 Tangent Lines, Arc Length, and Area for Polar Curves 613\u003c\/p\u003e \u003cp\u003e10.4 Conic Sections 622\u003c\/p\u003e \u003cp\u003e10.5 Rotation of Axes; Second-Degree Equations 639\u003c\/p\u003e \u003cp\u003e10.6 Conic Sections in Polar Coordinates 644\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 \u003c\/b\u003e\u003cb\u003eThree-dimensional Space; Vector \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces 657\u003c\/p\u003e \u003cp\u003e11.2 Vectors 663\u003c\/p\u003e \u003cp\u003e11.3 Dot Product; Projections 673\u003c\/p\u003e \u003cp\u003e11.4 Cross Product 682\u003c\/p\u003e \u003cp\u003e11.5 Parametric Equations of Lines 692\u003c\/p\u003e \u003cp\u003e11.6 Planes in 3-Space 698\u003c\/p\u003e \u003cp\u003e11.7 Quadric Surfaces 705\u003c\/p\u003e \u003cp\u003e11.7 Cylindrical and Spherical Coordinates 715\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 \u003c\/b\u003e\u003cb\u003eVector-Valued Functions 723 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction to Vector-Valued Functions 723\u003c\/p\u003e \u003cp\u003e12.2 Calculus of Vector-Valued Functions 729\u003c\/p\u003e \u003cp\u003e12.3 Change of Parameter; Arc Length 738\u003c\/p\u003e \u003cp\u003e12.4 Unit Tangent, Normal, and Binormal Vectors 746\u003c\/p\u003e \u003cp\u003e12.5 Curvature 751\u003c\/p\u003e \u003cp\u003e12.6 Motion Along a Curve 759\u003c\/p\u003e \u003cp\u003e12.7 Kepler’s Laws of Planetary Motion 771\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Partial Derivatives 781 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Functions of Two or More Variables 781\u003c\/p\u003e \u003cp\u003e13.2 Limits and Continuity 791\u003c\/p\u003e \u003cp\u003e13.3 Partial Derivatives 800\u003c\/p\u003e \u003cp\u003e13.4 Differentiability, Differentials, and Local Linearity 812\u003c\/p\u003e \u003cp\u003e13.5 The Chain Rule 820\u003c\/p\u003e \u003cp\u003e13.6 Directional Derivatives and Gradients 830\u003c\/p\u003e \u003cp\u003e13.7 Tangent Planes and Normal Vectors 840\u003c\/p\u003e \u003cp\u003e13.8 Maxima and Minima of Functions of Two Variables 845\u003c\/p\u003e \u003cp\u003e13.9 Lagrange Multipliers 856\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Multiple Integrals 925 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Double Integrals 925\u003c\/p\u003e \u003cp\u003e14.2 Double Integrals Over Nonrectangular Regions 932\u003c\/p\u003e \u003cp\u003e14.3 Double Integrals in Polar Coordinates 941\u003c\/p\u003e \u003cp\u003e14.4 Surface Area; Parametric Surfaces 948\u003c\/p\u003e \u003cp\u003e14.5 Triple Integrals 961\u003c\/p\u003e \u003cp\u003e14.6 Triple Integrals in Cylindrical and Spherical Coordinates 968\u003c\/p\u003e \u003cp\u003e14.7 Change of Variables in Multiple Integrals; Jacobians 977\u003c\/p\u003e \u003cp\u003e14.8 Centers of Gravity Using Multiple Integrals 989\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Topics in Vector Calculus 1001 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Vector Fields 1001\u003c\/p\u003e \u003cp\u003e15.2 Line Integrals 1010\u003c\/p\u003e \u003cp\u003e15.3 Independence of Path; Conservative Vector Fields 1025\u003c\/p\u003e \u003cp\u003e15.4 Green’s Theorem 1035\u003c\/p\u003e \u003cp\u003e15.5 Surface Integrals 1042\u003c\/p\u003e \u003cp\u003e15.6 Applications of Surface Integrals; Flux 1049\u003c\/p\u003e \u003cp\u003e15.7 The Divergence Theorem 1058\u003c\/p\u003e \u003cp\u003e15.8 Stokes’ Theorem 1067\u003c\/p\u003e \u003cp\u003eAPPENDIX A A1\u003c\/p\u003e \u003cp\u003eAPPENDIX B 00\u003c\/p\u003e \u003cp\u003eAPPENDIX C 00\u003c\/p\u003e \u003cp\u003eAPPENDIX D 00\u003c\/p\u003e \u003cp\u003eAPPENDIX E 00\u003c\/p\u003e \u003cp\u003eANSWERS 00\u003c\/p\u003e \u003cp\u003eINDEX I1\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528864112983,"sku":"9781119778189","price":999.99,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/calculus-9781119778189","provider":"Book Curl","version":"1.0","type":"link"}