# Calculus: A Complete Course

## Námskeið

- T-101-STA1 Stærðfræði I
- STÆ104G Stærðfræðigreining I

## Lýsing:

This ISBN is for the Pearson eText and may not include any media, website access codes, or print supplement. Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. The 10th edition continues in the pattern of the 8th and 9th editions, adding important, but overlooked, topics while clarifying old ones, and building on the solid core emplaced in prior editions.

It remains the only mainstream textbook that covers sufficient conditions for maxima and minima in higher dimensions. In the classical curriculum, differentials are defined as linear combinations of other differentials. But then later they are also asserted to be products of differentials, without explanation. This edition clarifies, connecting these new objects as they arise. Metrics are a rather fuzzy topic in most texts, leaving the questions that arc length implies hanging.

The exploration of these questions leads to new gateway topics, including spherical geometry (as in navigation), and special relativity, which both emerge rather effortlessly once the metric concept is properly in place. The 10th edition is suitable for a semester course in differential equations, in addition to the existing standard material suitable for four semesters of calculus. Not only can it be used to deliver five standard courses of conventional material, it can do much more through some of the unique topics and approaches, which can be added or overlooked by the instructor without penalty.

## Annað

- Höfundar: Robert A. Adams, Christopher Essex
- Útgáfa:10
- Útgáfudagur: 2021-01-04
- Hægt að prenta út 10 bls.
- Hægt að afrita 2 bls.
- Format:Page Fidelity
- ISBN 13: 9780135766781
- Print ISBN: 9780135732588
- ISBN 10: 0135766788

## Efnisyfirlit

- Inside Front Cover
- Title page
- Copyright page
- Dedication
- Contents
- Preface
- To the Student
- To the Instructor
- Acknowledgments
- What Is Calculus?
- P Preliminaries
- P.1 Real Numbers and the Real Line
- Intervals
- The Absolute Value
- Equations and Inequalities Involving Absolute Values

- P.2 Cartesian Coordinates in the Plane
- Axis Scales
- Increments and Distances
- Graphs
- Straight Lines
- Equations of Lines

- P.3 Graphs of Quadratic Equations
- Circles and Disks
- Equations of Parabolas
- Reflective Properties of Parabolas
- Scaling a Graph
- Shifting a Graph
- Ellipses and Hyperbolas

- P.4 Functions and Their Graphs
- The Domain Convention
- Graphs of Functions
- Even and Odd Functions; Symmetry and Reflections
- Reflections in Straight Lines
- Defining and Graphing Functions with Maple

- P.5 Combining Functions to Make New Functions
- Sums, Differences, Products, Quotients, and Multiples
- Composite Functions
- Piecewise Defined Functions

- P.6 Polynomials and Rational Functions
- Roots, Zeros, and Factors
- Roots and Factors of Quadratic Polynomials
- Miscellaneous Factorings

- P.7 The Trigonometric Functions
- Some Useful Identities
- Some Special Angles
- The Addition Formulas
- Other Trigonometric Functions
- Maple Calculations
- Trigonometry Review

- P.1 Real Numbers and the Real Line
- 1 Limits and Continuity
- 1.1 Examples of Velocity, Growth Rate, and Area
- Average Velocity and Instantaneous Velocity
- The Growth of an Algal Culture
- The Area of a Circle

- 1.2 Limits of Functions
- One-Sided Limits
- Rules for Calculating Limits
- The Squeeze Theorem

- 1.3 Limits at Infinity and Infinite Limits
- Limits at Infinity
- Limits at Infinity for Rational Functions
- Infinite Limits
- Using Maple to Calculate Limits

- 1.4 Continuity
- Continuity at a Point
- Continuity on an Interval
- There Are Lots of Continuous Functions
- Continuous Extensions and Removable Discontinuities
- Continuous Functions on Closed, Finite Intervals
- Finding Roots of Equations

- 1.5 The Formal Definition of Limit
- Using the Definition of Limit to Prove Theorems
- Other Kinds of Limits
- Chapter Review

- 1.1 Examples of Velocity, Growth Rate, and Area
- 2 Differentiation
- 2.1 Tangent Lines and Their Slopes
- Normals

- 2.2 The Derivative
- Some Important Derivatives
- Leibniz Notation
- Differentials
- Derivatives Have the Intermediate-Value Property

- 2.3 Differentiation Rules
- Sums and Constant Multiples
- The Product Rule
- The Reciprocal Rule
- The Quotient Rule

- 2.4 The Chain Rule
- Finding Derivatives with Maple
- Building the Chain Rule into Differentiation Formulas
- Proof of the Chain Rule (Theorem 6)

- 2.5 Derivatives of Trigonometric Functions
- Some Special Limits
- The Derivatives of Sine and Cosine
- The Derivatives of the Other Trigonometric Functions

- 2.6 Higher-Order Derivatives
- 2.7 Using Differentials and Derivatives
- Approximating Small Changes
- Average and Instantaneous Rates of Change
- Sensitivity to Change
- Derivatives in Economics

- 2.8 The Mean-Value Theorem
- Increasing and Decreasing Functions
- Proof of the Mean-Value Theorem

- 2.9 Implicit Differentiation
- Higher-Order Derivatives
- The General Power Rule

- 2.10 Antiderivatives and Initial-Value Problems
- Antiderivatives
- The Indefinite Integral
- Differential Equations and Initial-Value Problems

- 2.11 Velocity and Acceleration
- Velocity and Speed
- Acceleration
- Falling under Gravity
- Chapter Review

- 2.1 Tangent Lines and Their Slopes
- 3 Transcendental Functions
- 3.1 Inverse Functions
- Inverting Non–One-to-One Functions
- Derivatives of Inverse Functions

- 3.2 Exponential and Logarithmic Functions
- Exponentials
- Logarithms

- 3.3 The Natural Logarithm and Exponential Functions
- The Natural Logarithm
- The Exponential Function
- General Exponentials and Logarithms
- Logarithmic Differentiation

- 3.4 Growth and Decay
- The Growth of Exponentials and Logarithms
- Exponential Growth and Decay Models
- Interest on Investments
- Logistic Growth

- 3.5 The Inverse Trigonometric Functions
- The Inverse Sine (or Arcsine) Function
- The Inverse Tangent (or Arctangent) Function
- Other Inverse Trigonometric Functions

- 3.6 Hyperbolic Functions
- Inverse Hyperbolic Functions

- 3.7 Second-Order Linear DEs with Constant Coefficients
- Recipe for Solving ay" + by' + cy = 0
- Simple Harmonic Motion
- Damped Harmonic Motion
- Chapter Review

- 3.1 Inverse Functions
- 4 More Applications of Differentiation
- 4.1 Related Rates
- Procedures for Related-Rates Problems

- 4.2 Finding Roots of Equations
- Discrete Maps and Fixed-Point Iteration
- Newton's Method
- "Solve" Routines

- 4.3 Indeterminate Forms
- l'Ĥopital's Rules

- 4.4 Extreme Values
- Maximum and Minimum Values
- Critical Points, Singular Points, and Endpoints
- Finding Absolute Extreme Values
- The First Derivative Test
- Functions Not Defined on Closed, Finite Intervals

- 4.5 Concavity and Inflections
- The Second Derivative Test

- 4.6 Sketching the Graph of a Function
- Asymptotes
- Examples of Formal Curve Sketching

- 4.7 Graphing with Computers
- Numerical Monsters and Computer Graphing
- Floating-Point Representation of Numbers in Computers
- Machine Epsilon and Its Effect on Figure 4.45
- Determining Machine Epsilon

- 4.8 Extreme-Value Problems
- Procedure for Solving Extreme-Value Problems

- 4.9 Linear Approximations
- Approximating Values of Functions
- Error Analysis

- 4.10 Taylor Polynomials
- Taylor's Formula
- Big-O Notation
- Evaluating Limits of Indeterminate Forms

- 4.11 Roundoff Error, Truncation Error, and Computers
- Taylor Polynomials in Maple
- Persistent Roundoff Error
- Truncation, Roundoff, and Computer Algebra
- Chapter Review

- 4.1 Related Rates
- 5 Integration
- 5.1 Sums and Sigma Notation
- Evaluating Sums

- 5.2 Areas as Limits of Sums
- The Basic Area Problem
- Some Area Calculations

- 5.3 The Definite Integral
- Partitions and Riemann Sums
- The Definite Integral
- General Riemann Sums

- 5.4 Properties of the Definite Integral
- A Mean-Value Theorem for Integrals
- Definite Integrals of Piecewise Continuous Functions

- 5.5 The Fundamental Theorem of Calculus
- 5.6 The Method of Substitution
- Trigonometric Integrals

- 5.7 Areas of Plane Regions
- Areas Between Two Curves
- Chapter Review

- 5.1 Sums and Sigma Notation
- 6 Techniques of Integration
- 6.1 Integration by Parts
- Reduction Formulas

- 6.2 Integrals of Rational Functions
- Linear and Quadratic Denominators
- Partial Fractions
- Completing the Square
- Denominators with Repeated Factors

- 6.3 Inverse Substitutions
- The Inverse Trigonometric Substitutions
- Inverse Hyperbolic Substitutions
- Other Inverse Substitutions
- The tan( θ/2) Substitution

- 6.4 Other Methods for Evaluating Integrals
- The Method of Undetermined Coefficients
- Using Maple for Integration
- Using Integral Tables
- Special Functions Arising from Integrals

- 6.5 Improper Integrals
- Improper Integrals of Type I
- Improper Integrals of Type II
- Estimating Convergence and Divergence

- 6.6 The Trapezoid and Midpoint Rules
- The Trapezoid Rule
- The Midpoint Rule
- Error Estimates

- 6.7 Simpson's Rule
- 6.8 Other Aspects of Approximate Integration
- Approximating Improper Integrals
- Using Taylor's Formula
- Romberg Integration
- The Importance of Higher-Order Methods
- Other Methods
- Chapter Review

- 6.1 Integration by Parts
- 7 Applications of Integration
- 7.1 Volumes by SlicingÑSolids of Revolution
- Volumes by Slicing
- Solids of Revolution
- Cylindrical Shells

- 7.2 More Volumes by Slicing
- 7.3 Arc Length and Surface Area
- Arc Length
- The Arc Length of the Graph of a Function
- Areas of Surfaces of Revolution

- 7.4 Mass, Moments, and Centre of Mass
- Mass and Density
- Moments and Centres of Mass
- Two- and Three-Dimensional Examples

- 7.5 Centroids
- Pappus's Theorem

- 7.6 Other Physical Applications
- Hydrostatic Pressure
- Work
- Potential Energy and Kinetic Energy

- 7.7 Applications in Business, Finance, and Ecology
- The Present Value of a Stream of Payments
- The Economics of Exploiting Renewable Resources

- 7.8 Probability
- Discrete Random Variables
- Expectation, Mean, Variance, and Standard Deviation
- Continuous Random Variables
- The Normal Distribution
- Heavy Tails

- 7.9 First-Order Differential Equations
- Separable Equations
- First-Order Linear Equations
- Chapter Review

- 7.1 Volumes by SlicingÑSolids of Revolution
- 8 Conics, Parametric Curves, and Polar Curves
- 8.1 Conics
- Parabolas
- The Focal Property of a Parabola
- Ellipses
- The Focal Property of an Ellipse
- The Directrices of an Ellipse
- Hyperbolas
- The Focal Property of a Hyperbola
- Classifying General Conics

- 8.2 Parametric Curves
- General Plane Curves and Parametrizations
- Some Interesting Plane Curves

- 8.3 Smooth Parametric Curves and Their Slopes
- The Slope of a Parametric Curve
- Sketching Parametric Curves

- 8.4 Arc Lengths and Areas for Parametric Curves
- Arc Lengths and Surface Areas
- Areas Bounded by Parametric Curves

- 8.5 Polar Coordinates and Polar Curves
- Some Polar Curves
- Intersections of Polar Curves
- Polar Conics

- 8.6 Slopes, Areas, and Arc Lengths for Polar Curves
- Areas Bounded by Polar Curves
- Arc Lengths for Polar Curves
- Chapter Review

- 8.1 Conics
- 9 Sequences, Series, and Power Series
- 9.1 Sequences and Convergence
- Convergence of Sequences

- 9.2 Infinite Series
- Geometric Series
- Telescoping Series and Harmonic Series
- Some Theorems About Series

- 9.3 Convergence Tests for Positive Series
- The Integral Test
- Using Integral Bounds to Estimate the Sum of a Series
- Comparison Tests
- The Ratio and Root Tests
- Using Geometric Bounds to Estimate the Sum of a Series

- 9.4 Absolute and Conditional Convergence
- The Alternating Series Test
- Rearranging the Terms in a Series

- 9.5 Power Series
- Algebraic Operations on Power Series
- Differentiation and Integration of Power Series
- Maple Calculations

- 9.6 Taylor and Maclaurin Series
- Maclaurin Series for Some Elementary Functions
- Other Maclaurin and Taylor Series
- Taylor's Formula Revisited

- 9.7 Applications of Taylor and Maclaurin Series
- Approximating the Values of Functions
- Functions Defined by Integrals
- Indeterminate Forms

- 9.8 The Binomial Theorem and Binomial Series
- The Binomial Series
- The Multinomial Theorem

- 9.9 Fourier Series
- Periodic Functions
- Fourier Series
- Convergence of Fourier Series
- Fourier Cosine and Sine Series
- Chapter Review

- 9.1 Sequences and Convergence
- 10 Vectors and Coordinate Geometry in 3-Space
- 10.1 Analytic Geometry in Three Dimensions
- Euclidean n-Space
- Describing Sets in the Plane, 3-Space, and n-Space

- 10.2 Vectors
- Vectors in 3-Space
- Hanging Cables and Chains
- The Dot Product and Projections
- Vectors in n-Space

- 10.3 The Cross Product in 3-Space
- Determinants
- The Cross Product as a Determinant
- Applications of Cross Products

- 10.4 Planes and Lines
- Planes in 3-Space
- Lines in 3-Space
- Distances

- 10.5 Quadric Surfaces
- 10.6 Cylindrical and Spherical Coordinates
- Cylindrical Coordinates
- Spherical Coordinates

- 10.7 A Little Linear Algebra
- Matrices
- Determinants and Matrix Inverses
- Linear Transformations
- Linear Equations
- Quadratic Forms, Eigenvalues, and Eigenvectors

- 10.8 Using Maple for Vector and Matrix Calculations
- Vectors
- Matrices
- Linear Equations
- Eigenvalues and Eigenvectors
- Chapter Review

- 10.1 Analytic Geometry in Three Dimensions
- 11 Arc length, Metric Spaces, and Applications
- 11.1 Spherical Geometry and Trigonometry
- Geodesics on a Sphere Are Great Circles
- Spherical Triangles
- The Area of a Spherical Triangle
- Spherical Trigonometry
- Polar Triangles
- Right-Angled and Quadrantal Triangles
- Solving a Class 6 Triangle
- An Application to Aircraft and Ship Routings and Distances

- 11.2 Relativity and Minkowskian Geometry
- Extension of Metrics for a 4-Dimensional Space
- The Minkowskian Metric and Physics
- Space-time and Dynamics Through Geometry
- Reference Frames and Observers
- Minkowskian 2-space and Time Dilation
- Lorentz Transformations and Length Contraction
- Proper Time, Mass, Momentum, and Energy.

- 11.1 Spherical Geometry and Trigonometry
- 12 Vector Functions and Curves
- 12.1 Vector Functions of One Variable
- Differentiating Combinations of Vectors

- 12.2 Some Applications of Vector Differentiation
- Motion Involving Varying Mass
- Circular Motion
- Rotating Frames and the Coriolis Effect

- 12.3 Curves and Parametrizations
- Parametrizing the Curve of Intersection of Two Surfaces
- Arc Length
- Piecewise Smooth Curves
- The Arc-Length Parametrization

- 12.4 Curvature, Torsion, and the Frenet Frame
- The Unit Tangent Vector
- Curvature and the Unit Normal
- Torsion and Binormal, the Frenet-Serret Formulas

- 12.5 Curvature and Torsion for General Parametrizations
- Tangential and Normal Acceleration
- Evolutes
- An Application to Track (or Road) Design
- Maple Calculations

- 12.6 Kepler's Laws of Planetary Motion
- Ellipses in Polar Coordinates
- Polar Components of Velocity and Acceleration
- Central Forces and Kepler's Second Law
- Derivation of Kepler's First and Third Laws
- Conservation of Energy
- Chapter Review

- 12.1 Vector Functions of One Variable
- 13 Partial Differentiation
- 13.1 Functions of Several Variables
- Graphs
- Level Curves
- Using Maple Graphics

- 13.2 Limits and Continuity
- 13.3 Partial Derivatives
- Tangent Planes and Normal Lines
- Distance from a Point to a Surface: A Geometric Example

- 13.4 Higher-Order Derivatives
- The Laplace and Wave Equations

- 13.5 The Chain Rule
- Homogeneous Functions
- Higher-Order Derivatives

- 13.6 Linear Approximations, Differentiability, and Differentials
- Proof of the Chain Rule
- Differentials
- Functions from n-Space to m-Space
- Differentials in Applications
- Differentials and Legendre Transformations

- 13.7 Gradients and Directional Derivatives
- Directional Derivatives
- Rates Perceived by a Moving Observer
- The Gradient in Three and More Dimensions

- 13.8 Implicit Functions
- Systems of Equations
- Choosing Dependent and Independent Variables
- Jacobian Determinants
- The Implicit Function Theorem

- 13.9 Taylor's Formula, Taylor Series, and Approximations
- Approximating Implicit Functions
- Chapter Review

- 13.1 Functions of Several Variables
- 14 Applications of Partial Derivatives
- 14.1 Extreme Values
- Classifying Critical Points

- 14.2 Extreme Values of Functions Defined on Restricted Domains
- Linear Programming

- 14.3 Lagrange Multipliers
- The Method of Lagrange Multipliers
- Problems with More than One Constraint

- 14.4 Lagrange Multipliers in n-Space
- Using Maple to Solve Constrained Extremal Problems
- Significance of Lagrange Multiplier Values
- Nonlinear Programming

- 14.5 The Method of Least Squares
- Linear Regression
- Applications of the Least Squares Method to Integrals

- 14.6 Parametric Problems
- Differentiating Integrals with Parameters
- Envelopes
- Equations with Perturbations

- 14.7 Newton's Method
- Implementing Newton's Method Using a Spreadsheet

- 14.8 Calculations with Maple
- Solving Systems of Equations
- Finding and Classifying Critical Points

- 14.9 Entropy in Statistical Mechanics and Information Theory
- Boltzmann Entropy
- Shannon Entropy
- Information Theory
- Chapter Review

- 14.1 Extreme Values
- 15 Multiple Integration
- 15.1 Double Integrals
- Double Integrals over More General Domains
- Properties of the Double Integral
- Double Integrals by Inspection

- 15.2 Iteration of Double Integrals in Cartesian Coordinates
- 15.3 Improper Integrals and a Mean-Value Theorem
- Improper Integrals of Positive Functions
- A Mean-Value Theorem for Double Integrals

- 15.4 Double Integrals in Polar Coordinates
- Change of Variables in Double Integrals

- 15.5 Triple Integrals
- 15.6 Change of Variables in Triple Integrals
- Cylindrical Coordinates
- Spherical Coordinates

- 15.7 Applications of Multiple Integrals
- The Surface Area of a Graph
- The Gravitational Attraction of a Disk
- Moments and Centres of Mass
- Moment of Inertia
- Chapter Review

- 15.1 Double Integrals
- 16 Vector Fields
- 16.1 Vector and Scalar Fields
- Field Lines (Integral Curves, Trajectories, Streamlines)
- Vector Fields in Polar Coordinates
- Nonlinear Systems and Liapunov Functions

- 16.2 Conservative Fields
- Equipotential Surfaces and Curves
- Sources, Sinks, and Dipoles

- 16.3 Line Integrals
- Evaluating Line Integrals

- 16.4 Line Integrals of Vector Fields
- Connected and Simply Connected Domains
- Independence of Path

- 16.5 Surfaces and Surface Integrals
- Parametric Surfaces
- Composite Surfaces
- Surface Integrals
- Smooth Surfaces, Normals, and Area Elements
- Evaluating Surface Integrals
- The Attraction of a Spherical Shell

- 16.6 Oriented Surfaces and Flux Integrals
- Oriented Surfaces
- The Flux of a Vector Field Across a Surface
- Calculating Flux Integrals
- Chapter Review

- 16.1 Vector and Scalar Fields
- 17 Vector Calculus
- 17.1 Gradient, Divergence, and Curl
- Interpretation of the Divergence
- Distributions and Delta Functions
- Interpretation of the Curl

- 17.2 Some Identities Involving Grad, Div, and Curl
- Scalar and Vector Potentials
- Maple Calculations

- 17.3 Green's Theorem in the Plane
- The Two-Dimensional Divergence Theorem

- 17.4 The Divergence Theorem in 3-Space
- Variants of the Divergence Theorem

- 17.5 Stokes's Theorem
- 17.6 Some Physical Applications of Vector Calculus
- Fluid Dynamics
- Electromagnetism
- Electrostatics
- Magnetostatics
- Maxwell's Equations

- 17.7 Orthogonal Curvilinear Coordinates
- Coordinate Surfaces and Coordinate Curves
- Scale Factors and Differential Elements
- Grad, Div, and Curl in Orthogonal Curvilinear Coordinates
- Chapter Review

- 17.1 Gradient, Divergence, and Curl
- 18 Differential Forms and Exterior Calculus
- Differentials and Vectors
- Derivatives versus Differentials

- 18.1 k-Forms
- Bilinear Forms and 2-Forms
- k-Forms
- Forms on a Vector Space

- 18.2 Differential Forms and the Exterior Derivative
- The Exterior Derivative
- 1-Forms and Legendre Transformations
- Maxwell's Equations Revisited
- Closed and Exact Forms

- 18.3 Integration on Manifolds
- Smooth Manifolds
- Integration in n Dimensions
- Sets of k-Volume Zero
- Parametrizing and Integrating over a Smooth Manifold

- 18.4 Orientations, Boundaries, and Integration of Forms
- Oriented Manifolds
- Pieces-with-Boundary of a Manifold
- Integrating a Differential Form over a Manifold

- 18.5 The Generalized Stokes's Theorem
- Proof of Theorem 4 for a k-Cube
- Completing the Proof
- The Classical Theorems of Vector Calculus

- Differentials and Vectors
- 19 Ordinary Differential Equations
- 19.1 Classifying Differential Equations
- 19.2 Solving First-Order Equations
- Separable Equations
- First-Order Linear Equations
- First-Order Homogeneous Equations
- Exact Equations
- Integrating Factors

- 19.3 Existence, Uniqueness, and Numerical Methods
- Existence and Uniqueness of Solutions
- Numerical Methods

- 19.4 Differential Equations of Second Order
- Equations Reducible to First Order
- Second-Order Linear Equations

- 19.5 Linear Differential Equations with Constant Coefficients
- Constant-Coefficient Equations of Higher Order
- Euler (Equidimensional) Equations

- 19.6 Nonhomogeneous Linear Equations
- Resonance
- Variation of Parameters
- Maple Calculations
- Chapter Review

- 20 More Topics in Differential Equations
- 20.1 The Laplace Transform
- Some Basic Laplace Transforms
- More Properties of Laplace Transforms
- The Heaviside Function and the Dirac Delta Function

- 20.2 Series Solutions of Differential Equations
- 20.3 Dynamical Systems, Phase Space, and the Phase Plane
- A Differential Equation as a First-Order System
- Existence, Uniqueness, and Autonomous Systems
- Second-Order Autonomous Equations and the Phase Plane
- Fixed Points
- Linear Systems, Eigenvalues, and Fixed Points
- Implications for Nonlinear Systems
- Predator–Prey Models

- 20.4 Calculus of Variations
- Variation of a Function
- Variation of a Functional
- Extreme Values of a Functional
- Constrained Extrema
- The Principle of Least Action
- Maximum Entropy and the Flexibility of Variational Methods

- 20.1 The Laplace Transform
- Appendices
- Appendix I Complex Numbers
- Definition of Complex Numbers
- Graphical Representation of Complex Numbers
- Complex Arithmetic
- Roots of Complex Numbers

- Appendix II Complex Functions
- Limits and Continuity
- The Complex Derivative
- The Exponential Function
- The Fundamental Theorem of Algebra

- Appendix III Continuous Functions
- Limits of Functions
- Continuous Functions
- Completeness and Sequential Limits
- Continuous Functions on a Closed, Finite Interval

- Appendix IV The Riemann Integral
- Uniform Continuity

- Appendix V Doing Calculus with Maple
- List of Maple Examples and Discussion

- Appendix VI Doing Calculus with Python
- Sympy and Elementary Algebra
- Vector Calculus with Sympy
- Mathematical Graphics Using Matplotlib

- Appendix I Complex Numbers
- Answers to Odd-Numbered Exercises
- Chapter P
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
- Chapter 12
- Chapter 13
- Chapter 14
- Chapter 15
- Chapter 16
- Chapter 17
- Chapter 18
- Chapter 19
- Chapter 20
- Appendix I
- Appendix II
- Appendix III
- Appendix IV
- Appendix V
- Appendix VI

- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Z

- Inside Back Cover

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