{"product_id":"calculus-9781119696551","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 Foundation For Calculus: Functions and Limits 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Functions and Change 2\u003c\/p\u003e \u003cp\u003e1.2 Exponential Functions 14\u003c\/p\u003e \u003cp\u003e1.3 New Functions From Old 26\u003c\/p\u003e \u003cp\u003e1.4 Logarithmic Functions 34\u003c\/p\u003e \u003cp\u003e1.5 Trigonometric Functions 42\u003c\/p\u003e \u003cp\u003e1.6 Powers, Polynomials, and Rational Functions 53\u003c\/p\u003e \u003cp\u003e1.7 Introduction To Limits and Continuity 62\u003c\/p\u003e \u003cp\u003e1.8 Extending The Idea of A Limit 71\u003c\/p\u003e \u003cp\u003e1.9 Further Limit Calculations Using Algebra 80\u003c\/p\u003e \u003cp\u003e1.10 Preview of The Formal Definition of A Limit \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Key Concept: The Derivative 87\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 How Do We Measure Speed? 88\u003c\/p\u003e \u003cp\u003e2.2 The Derivative At A Point 96\u003c\/p\u003e \u003cp\u003e2.3 The Derivative Function 105\u003c\/p\u003e \u003cp\u003e2.4 Interpretations of The Derivative 113\u003c\/p\u003e \u003cp\u003e2.5 The Second Derivative 121\u003c\/p\u003e \u003cp\u003e2.6 Differentiability 130\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Short-Cuts To Differentiation 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Powers and Polynomials 136\u003c\/p\u003e \u003cp\u003e3.2 The Exponential Function 146\u003c\/p\u003e \u003cp\u003e3.3 The Product and Quotient Rules 151\u003c\/p\u003e \u003cp\u003e3.4 The Chain Rule 158\u003c\/p\u003e \u003cp\u003e3.5 The Trigonometric Functions 165\u003c\/p\u003e \u003cp\u003e3.6 The Chain Rule and Inverse Functions 171\u003c\/p\u003e \u003cp\u003e3.7 Implicit Functions 178\u003c\/p\u003e \u003cp\u003e3.8 Hyperbolic Functions 181\u003c\/p\u003e \u003cp\u003e3.9 Linear Approximation and The Derivative 185\u003c\/p\u003e \u003cp\u003e3.10 Theorems About Differentiable Functions 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Using The Derivative 199\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Using First and Second Derivatives 200\u003c\/p\u003e \u003cp\u003e4.2 Optimization 211\u003c\/p\u003e \u003cp\u003e4.3 Optimization and Modeling 220\u003c\/p\u003e \u003cp\u003e4.4 Families of Functions and Modeling 234\u003c\/p\u003e \u003cp\u003e4.5 Applications To Marginality 244\u003c\/p\u003e \u003cp\u003e4.6 Rates and Related Rates 253\u003c\/p\u003e \u003cp\u003e4.7 L’hopital’s Rule, Growth, and Dominance 264\u003c\/p\u003e \u003cp\u003e4.8 Parametric Equations 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Key Concept: The Definite Integral 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 How Do We Measure Distance Traveled? 286\u003c\/p\u003e \u003cp\u003e5.2 The Definite Integral 298\u003c\/p\u003e \u003cp\u003e5.3 The Fundamental Theorem and Interpretations 308\u003c\/p\u003e \u003cp\u003e5.4 Theorems About Definite Integrals 319\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Constructing Antiderivatives 333\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Antiderivatives Graphically and Numerically 334\u003c\/p\u003e \u003cp\u003e6.2 Constructing Antiderivatives Analytically 341\u003c\/p\u003e \u003cp\u003e6.3 Differential Equations and Motion 348\u003c\/p\u003e \u003cp\u003e6.4 Second Fundamental Theorem of Calculus 355\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Integration 361\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Integration By Substitution 362\u003c\/p\u003e \u003cp\u003e7.2 Integration By Parts 373\u003c\/p\u003e \u003cp\u003e7.3 Tables of Integrals 380\u003c\/p\u003e \u003cp\u003e7.4 Algebraic Identities and Trigonometric Substitutions 386\u003c\/p\u003e \u003cp\u003e7.5 Numerical Methods For Definite Integrals 398\u003c\/p\u003e \u003cp\u003e7.6 Improper Integrals 408\u003c\/p\u003e \u003cp\u003e7.7 Comparison of Improper Integrals 417\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Using The Definite Integral 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Areas and Volumes 426\u003c\/p\u003e \u003cp\u003e8.2 Applications To Geometry 436\u003c\/p\u003e \u003cp\u003e8.3 Area and Arc Length In Polar Coordinates 447\u003c\/p\u003e \u003cp\u003e8.4 Density and Center of Mass 456\u003c\/p\u003e \u003cp\u003e8.5 Applications To Physics 467\u003c\/p\u003e \u003cp\u003e8.6 Applications To Economics 478\u003c\/p\u003e \u003cp\u003e8.7 Distribution Functions 489\u003c\/p\u003e \u003cp\u003e8.8 Probability, Mean, and Median 497\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Sequences and Series 507\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Sequences 508\u003c\/p\u003e \u003cp\u003e9.2 Geometric Series 514\u003c\/p\u003e \u003cp\u003e9.3 Convergence of Series 522\u003c\/p\u003e \u003cp\u003e9.4 Tests For Convergence 529\u003c\/p\u003e \u003cp\u003e9.5 Power Series and Interval of Convergence 539\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Approximating Functions Using Series 549\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Taylor Polynomials 550\u003c\/p\u003e \u003cp\u003e10.2 Taylor Series 560\u003c\/p\u003e \u003cp\u003e10.3 Finding and Using Taylor Series 567\u003c\/p\u003e \u003cp\u003e10.4 The Error In Taylor Polynomial Approximations 577\u003c\/p\u003e \u003cp\u003e10.5 Fourier Series 584\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Differential Equations 599\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 What is a Differential Equation? 600\u003c\/p\u003e \u003cp\u003e11.2 Slope Fields 605\u003c\/p\u003e \u003cp\u003e11.3 Euler’s Method 614\u003c\/p\u003e \u003cp\u003e11.4 Separation of Variables 619\u003c\/p\u003e \u003cp\u003e11.5 Growth and Decay 625\u003c\/p\u003e \u003cp\u003e11.6 Applications and Modeling 637\u003c\/p\u003e \u003cp\u003e11.7 The Logistic Model 647\u003c\/p\u003e \u003cp\u003e11.8 Systems of Differential Equations 657\u003c\/p\u003e \u003cp\u003e11.9 Analyzing The Phase Plane 667\u003c\/p\u003e \u003cp\u003e11.10 Second-Order Differential Equations: Oscillations 674\u003c\/p\u003e \u003cp\u003e11.11 Linear Second-Order Differential Equations 682\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Functions of Several Variables 693\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Functions of Two Variables 694\u003c\/p\u003e \u003cp\u003e12.2 Graphs and Surfaces 702\u003c\/p\u003e \u003cp\u003e12.3 Contour Diagrams 711\u003c\/p\u003e \u003cp\u003e12.4 Linear Functions 725\u003c\/p\u003e \u003cp\u003e12.5 Functions of Three Variables 732\u003c\/p\u003e \u003cp\u003e12.6 Limits and Continuity 739\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 A Fundamental Tool: Vectors 745\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Displacement Vectors 746\u003c\/p\u003e \u003cp\u003e13.2 Vectors In General 755\u003c\/p\u003e \u003cp\u003e13.3 The Dot Product 763\u003c\/p\u003e \u003cp\u003e13.4 The Cross Product 774\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Differentiating Functions of Several Variables 785\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 The Partial Derivative 786\u003c\/p\u003e \u003cp\u003e14.2 Computing Partial Derivatives Algebraically 795\u003c\/p\u003e \u003cp\u003e14.3 Local Linearity and The Differential 800\u003c\/p\u003e \u003cp\u003e14.4 Gradients and Directional Derivatives In The Plane 809\u003c\/p\u003e \u003cp\u003e14.5 Gradients and Directional Derivatives In Space 819\u003c\/p\u003e \u003cp\u003e14.6 The Chain Rule 827\u003c\/p\u003e \u003cp\u003e14.7 Second-Order Partial Derivatives 838\u003c\/p\u003e \u003cp\u003e14.8 Differentiability 847\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Optimization: Local and Global Extrema 855\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Critical Points: Local Extrema and Saddle Points 856\u003c\/p\u003e \u003cp\u003e15.2 Optimization 866\u003c\/p\u003e \u003cp\u003e15.3 Constrained Optimization: Lagrange Multipliers 876\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Integrating Functions of Several Variables 889\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 The Definite Integral of A Function of Two Variables 890\u003c\/p\u003e \u003cp\u003e16.2 Iterated Integrals 898\u003c\/p\u003e \u003cp\u003e16.3 Triple Integrals 908\u003c\/p\u003e \u003cp\u003e16.4 Double Integrals In Polar Coordinates 916\u003c\/p\u003e \u003cp\u003e16.5 Integrals In Cylindrical and Spherical Coordinates 921\u003c\/p\u003e \u003cp\u003e16.6 Applications of Integration To Probability 931\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Parameterization and Vector Fields 937\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Parameterized Curves 938\u003c\/p\u003e \u003cp\u003e17.2 Motion, Velocity, and Acceleration 948\u003c\/p\u003e \u003cp\u003e17.3 Vector Fields 958\u003c\/p\u003e \u003cp\u003e17.4 The Flow of A Vector Field 966\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Line Integrals 973\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 The Idea of A Line Integral 974\u003c\/p\u003e \u003cp\u003e18.2 Computing Line Integrals Over Parameterized Curves 984\u003c\/p\u003e \u003cp\u003e18.3 Gradient Fields and Path-Independent Fields 992\u003c\/p\u003e \u003cp\u003e18.4 Path-Dependent Vector Fields and Green’s Theorem 1003\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Flux Integrals and Divergence 1017\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 The Idea of A Flux Integral 1018\u003c\/p\u003e \u003cp\u003e19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1029\u003c\/p\u003e \u003cp\u003e19.3 The Divergence of A Vector Field 1039\u003c\/p\u003e \u003cp\u003e19.4 The Divergence Theorem 1048\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 The Curl and Stokes’ Theorem 1055\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 The Curl of A Vector Field 1056\u003c\/p\u003e \u003cp\u003e20.2 Stokes’ Theorem 1064\u003c\/p\u003e \u003cp\u003e20.3 The Three Fundamental Theorems 1071\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Parameters, Coordinates, and Integrals 1077\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Coordinates and Parameterized Surfaces 1078\u003c\/p\u003e \u003cp\u003e21.2 Change of Coordinates In A Multiple Integral 1089\u003c\/p\u003e \u003cp\u003e21.3 Flux Integrals Over Parameterized Surfaces 1094\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices \u003c\/b\u003e\u003cb\u003e\u003ci\u003eOnline\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Roots, Accuracy, and Bounds \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eB Complex Numbers \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eC Newton’s Method \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eD Vectors In The Plane \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eE Determinants \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eReady Reference 1099\u003c\/p\u003e \u003cp\u003eAnswers To Odd Numbered Problems 1117\u003c\/p\u003e \u003cp\u003eIndex 1177\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49528861458775,"sku":"9781119696551","price":128.66,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/calculus-9781119696551","provider":"Book Curl","version":"1.0","type":"link"}