دانلود کتاب Calculus Early Transcendentals

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Book Cover Diagnostic Tests A: Diagnostic Test: Algebra B: Diagnostic Test: Analytic Geometry C: Diagnostic Test: Functions D: Diagnostic Test: Trigonometry Chapter 1- Functions and Models 1.1: Four Ways to Represent a Function 1.2: Mathematical Models: A Catalog of Essential Functions 1.3: New Functions from Old Functions 1.4: Exponential Functions 1.5: Inverse Functions and Logarithms Review Principles of Problem Solving Chapter 2- Limits and Derivatives 2.1: The Tangent and Velocity Problems 2.2: The Limit of a Function 2.3: Calculating Limits Using the Limit Laws 2.4: The Precise Definition of a Limit 2.5: Continuity 2.6: Limits at Infinity; Horizontal Asymptotes 2.7: Derivatives and Rates of Change 2.8: The Derivative as a Function Review Problems Plus Chapter 3- Differentiation Rules 3.1: Derivatives of Polynomials and Exponential Functions 3.2: The Product and Quotient Rules 3.3: Derivatives of Trigonometric Functions 3.4: The Chain Rule 3.5: Implicit Differentiation 3.6: Derivatives of Logarithmic Functions 3.7: Rates of Change in the Natural and Social Sciences 3.8: Exponential Growth and Decay 3.9: Related Rates 3.10: Linear Approximations and Differentials 3.11: Hyperbolic Functions Review Problems Plus Chapter 4- Applications of Differentiation 4.1: Maximum and Minimum Values 4.2: The Mean Value Theorem 4.3: How Derivatives Affect the Shape of a Graph 4.4: Indeterminate Forms and L'Hospital's Rule 4.5: Summary of Curve Sketching 4.6: Graphing with Calculus and Calculators 4.7: Optimization Problems 4.8: Newton's Method 4.9: Antiderivatives Review Problems Plus Chapter 5- Integrals 5.1: Areas and Distances 5.2: The Definite Integral 5.3: The Fundamental Theorem of Calculus 5.4: Indefinite Integrals and the Net Change Theorem 5.5: The Substitution Rule Review Problems Plus Chapter 6- Applications of Integration 6.1: Areas between Curves 6.2: Volumes 6.3: Volumes by Cylindrical Shells 6.4: Work 6.5: Average Value of a Function Review Problems Plus Chapter 7- Techniques of Integration 7.1: Integration by Parts 7.2: Trigonometric Integrals 7.3: Trigonometric Substitution 7.4: Integration of Rational Functions by Partial Fractions 7.5: Strategy for Integration 7.6: Integration Using Tables and Computer Algebra Systems 7.7: Approximate Integration 7.8: Improper Integrals Review Problems Plus Chapter 8- Further Applications of Integration 8.1: Arc Length 8.2: Area of a Surface of Revolution 8.3: Applications to Physics and Engineering 8.4: Applications to Economics and Biology 8.5: Probability Review Problems Plus Chapter 9- Differential Equations 9.1: Modeling with Differential Equations 9.2: Direction Fields and Euler's Method 9.3: Separable Equations 9.4: Models for Population Growth 9.5: Linear Equations 9.6: Predator-Prey Systems Review Problems Plus Chapter 10- Parametric Equations and Polar Coordinates 10.1: Curves Defined by Parametric Equations 10.2: Calculus with Parametric Curves 10.3: Polar Coordinates 10.4: Areas and Lengths in Polar Coordinates 10.5: Conic Sections 10.6: Conic Sections in Polar Coordinates Review Problems Plus Chapter 11- Infinite sequences and Series 11.1: Sequences 11.2: Series 11.3: The Integral Test and Estimates of Sums 11.4: The Comparison Tests 11.5: Alternating Series 11.6: Absolute Convergence and the Ratio and Root Tests 11.7: Strategy for Testing Series 11.8: Power Series 11.9: Representations of Functions as Power Series 11.10: Taylor and Maclaurin Series 11.11: Applications of Taylor Polynomials Review Problems Plus Chapter 12- Vectors and the Geometry of Space 12.1: Three-Dimensional Coordinate Systems 12.2: Vectors 12.3: The Dot Product 12.4: The Cross Product 12.5: Equations of Lines and Planes 12.6: Cylinders and Quadric Surfaces Review Problems Plus Chapter 13- Vector Functions 13.1: Vector Functions and Space Curves 13.2: Derivatives and Integrals of Vector Functions 13.3: Arc Length and Curvature 13.4: Motion in Space: Velocity and Acceleration Review Problems Plus Chapter 14- Partial Derivatives 14.1: Functions of Several Variables 14.2: Limits and Continuity 14.3: Partial Derivatives 14.4: Tangent Planes and Linear Approximations 14.5: The Chain Rule 14.6: Directional Derivatives and the Gradient Vector 14.7: Maximum and Minimum Values 14.8: Lagrange Multipliers Review Problems Plus Chapter 15- Multiple Integrals 15.1: Double Integrals over Rectangles 15.2: Double Integrals over General Regions 15.3: Double Integrals in Polar Coordinates 15.4: Applications of Double Integrals 15.5: Surface Area 15.6: Triple Integrals 15.7: Triple Integrals in Cylindrical Coordinates 15.8: Triple Integrals in Spherical Coordinates 15.9: Change of Variables in Multiple Integrals Review Problems Plus Chapter 16- Vector Calculus 16.1: Vector Fields 16.2: Line Integrals 16.3: The Fundamental Theorem for Line Integrals 16.4: Green's Theorem 16.5: Curl and Divergence 16.6: Parametric Surfaces and Their Areas 16.7: Surface Integrals 16.8: Stokes' Theorem 16.9: The Divergence Theorem Review Problems Plus Chapter 17- Second-Order Differential Equations 17.1: Second-Order Linear Equations 17.2: Nonhomogeneous Linear Equations 17.3: Applications of Second-Order Differential Equations 17.4: Series Solutions Review Appendixes A: Numbers, Inequalities, and Absolute Values B: Coordinate Geometry and Lines C: Graphs of Second-Degree Equations D: Trigonometry E: Sigma Notation G: The Logarithm Defined as an Integral H: Complex Numbers