{"product_id":"calculus-9781119778424","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 xvi\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\u003e\u003cb\u003e2 The Derivative 58\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Tangent Lines and Rates of Change 58\u003c\/p\u003e \u003cp\u003e2.2 The Derivative Function 68\u003c\/p\u003e \u003cp\u003e2.3 Introduction to Techniques of Differentiation 79\u003c\/p\u003e \u003cp\u003e2.4 The Product and Quotient Rules 86\u003c\/p\u003e \u003cp\u003e2.5 Derivatives of Trigonometric Functions 91\u003c\/p\u003e \u003cp\u003e2.6 The Chain Rule 95\u003c\/p\u003e \u003cp\u003e2.7 Implicit Differentiation 102\u003c\/p\u003e \u003cp\u003e2.8 Related Rates 109\u003c\/p\u003e \u003cp\u003e2.9 Local Linear Approximation; Differentials 116\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 The Derivative in Graphing and Applications 128\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Analysis of Functions I: Increase, Decrease, and Concavity 128\u003c\/p\u003e \u003cp\u003e3.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 137\u003c\/p\u003e \u003cp\u003e3.3 Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents 146\u003c\/p\u003e \u003cp\u003e3.4 Absolute Maxima and Minima 154\u003c\/p\u003e \u003cp\u003e3.5 Applied Maximum and Minimum Problems 162\u003c\/p\u003e \u003cp\u003e3.6 Rectilinear Motion 175\u003c\/p\u003e \u003cp\u003e3.7 Newton’s Method 182\u003c\/p\u003e \u003cp\u003e3.8 Rolle’s Theorem; Mean-Value Theorem 188\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Integration 200\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 An Overview of the Area Problem 200\u003c\/p\u003e \u003cp\u003e4.2 The Indefinite Integral 205\u003c\/p\u003e \u003cp\u003e4.3 Integration by Substitution 214\u003c\/p\u003e \u003cp\u003e4.4 The Definition of Area as a Limit; Sigma Notation 220\u003c\/p\u003e \u003cp\u003e4.5 The Definite Integral 231\u003c\/p\u003e \u003cp\u003e4.6 The Fundamental Theorem of Calculus 239\u003c\/p\u003e \u003cp\u003e4.7 Rectilinear Motion Revisited Using Integration 251\u003c\/p\u003e \u003cp\u003e4.8 Average Value of a Function and Its Applications 259\u003c\/p\u003e \u003cp\u003e4.9 Evaluating Definite Integrals by Substitution 263\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Applications of the Definite Integral in Geometry, Science, and Engineering 273\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Area Between Two Curves 273\u003c\/p\u003e \u003cp\u003e5.2 Volumes by Slicing; Disks and Washers 281\u003c\/p\u003e \u003cp\u003e5.3 Volumes by Cylindrical Shells 290\u003c\/p\u003e \u003cp\u003e5.4 Length of a Plane Curve 297\u003c\/p\u003e \u003cp\u003e5.5 Area of a Surface of Revolution 302\u003c\/p\u003e \u003cp\u003e5.6 Work 307\u003c\/p\u003e \u003cp\u003e5.7 Moments, Centers of Gravity, and Centroids 315\u003c\/p\u003e \u003cp\u003e5.8 Fluid Pressure and Force 323\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Exponential, Logarithmic, and Inverse Trigonometric Functions 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Exponential and Logarithmic Functions 331\u003c\/p\u003e \u003cp\u003e6.2 Derivatives and Integrals Involving Logarithmic Functions 342\u003c\/p\u003e \u003cp\u003e6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions 349\u003c\/p\u003e \u003cp\u003e6.4 Graphs and Applications Involvig Logarithmic and Exponential Functions 355\u003c\/p\u003e \u003cp\u003e6.5 L’Hoˆ pital’s Rule; Indeterminate Forms 362\u003c\/p\u003e \u003cp\u003e6.6 Logarithmic and Other Functions Defined by Integrals 371\u003c\/p\u003e \u003cp\u003e6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions 382\u003c\/p\u003e \u003cp\u003e6.8 Hyperbolic Functions and Hanging Cables 392\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Principles of Integral Evaluation 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 with 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 540\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; Conic 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\u003eA Appendices\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Trigonometry Review (Summary) App-1\u003c\/p\u003e \u003cp\u003eB Functions (Summary) App-8\u003c\/p\u003e \u003cp\u003eC New Functions From Old (Summary) App-11\u003c\/p\u003e \u003cp\u003eD Families of Functions (Summary) App-16\u003c\/p\u003e \u003cp\u003eE Inverse Functions (Summary) App-23\u003c\/p\u003e \u003cp\u003eReady Reference RR-1\u003c\/p\u003e \u003cp\u003eAnswers to Odd-numbered Exercises Ans-1\u003c\/p\u003e \u003cp\u003eIndex Ind-1\u003c\/p\u003e \u003cp\u003e\u003cb\u003eWeb Appendices (online only)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAvailable in WileyPLUS\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)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAvailable in WileyPLUS\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","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528864276823,"sku":"9781119778424","price":128.66,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/calculus-9781119778424","provider":"Book Curl","version":"1.0","type":"link"}