Calculus Early Transcendentals – James Stewart – 8th Edition

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Success in your calculus course starts here! James Stewart’s CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.

In the Eighth Edition of CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart’s texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart’s writing and presentation serve to enhance understanding and build confidence.

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  • A Preview of Calculus
    Ch 1: Functions and Models
    Ch 1: Introduction
    1.1: Four Ways to Represent a Function
    1.1: Exercises
    1.2: Mathematical Models: A Catalog of Essential Functions
    1.2: Exercises
    1.3: New Functions from Old Functions
    1.3: Exercises
    1.4: Exponential Functions
    1.4: Exercises
    1.5: Inverse Functions and Logarithms
    1.5: Exercises
    Ch 1: Review
    Principles of Problem Solving

    Ch 2: Limits and Derivatives
    Ch 2: Introduction
    2.1: The Tangent and Velocity Problems
    2.1: Exercises
    2.2: The Limit of a Function
    2.2: Exercises
    2.3: Calculating Limits Using the Limit Laws
    2.3: Exercises
    2.4: The Precise Definition of a Limit
    2.4: Exercises
    2.5: Continuity
    2.5: Exercises
    2.6: Limits at Infinity; Horizontal Asymptotes
    2.6: Exercises
    2.7: Derivatives and Rates of Change
    2.7: Exercises
    2.8: The Derivative as a Function
    2.8: Exercises
    Ch 2: Review
    Ch 2: Problems Plus

    Ch 3: Differentiation Rules
    Ch 3: Introduction
    3.1: Derivatives of Polynomials and Exponential Functions
    3.1: Exercises
    3.2: The Product and Quotient Rules
    3.2: Exercises
    3.3: Derivatives of Trigonometric Functions
    3.3: Exercises
    3.4: The Chain Rule
    3.4: Exercises
    3.5: Implicit Differentiation
    3.5: Exercises
    3.6: Derivatives of Logarithmic Functions
    3.6: Exercises
    3.7: Rates of Change in the Natural and Social Sciences
    3.7: Exercises
    3.8: Exponential Growth and Decay
    3.8: Exercises
    3.9: Related Rates
    3.9: Exercises
    3.10: Linear Approximations and Differentials
    3.10: Exercises
    3.11: Hyperbolic Functions
    3.11: Exercises
    Ch 3: Review
    Ch 3: Problems Plus

    Ch 4: Applications of Differentiation
    Ch 4: Introduction
    4.1: Maximum and Minimum Values
    4.1: Exercises
    4.2: The Mean Value Theorem
    4.2: Exercises
    4.3: How Derivatives Affect the Shape of a Graph
    4.3: Exercises
    4.4: Indeterminate Forms and l’Hospital’s Rule
    4.4: Exercises
    4.5: Summary of Curve Sketching
    4.5: Exercises
    4.6: Graphing with Calculus and Calculators
    4.6: Exercises
    4.7: Optimization Problems
    4.7: Exercises
    4.8: Newton’s Method
    4.8: Exercises
    4.9: Antiderivatives
    4.9: Exercises
    Ch 4: Review
    Ch 4: Problems Plus

    Ch 5: Integrals
    Ch 5: Introduction
    5.1: Areas and Distances
    5.1: Exercises
    5.2: The Definite Integral
    5.2: Exercises
    5.3: The Fundamental Theorem of Calculus
    5.3: Exercises
    5.4: Indefinite Integrals and the Net Change Theorem
    5.4: Exercises
    5.5: The Substitution Rule
    5.5: Exercises
    Ch 5: Review
    Ch 5: Problems Plus

    Ch 6: Applications of Integration
    Ch 6: Introduction
    6.1: Areas Between Curves
    6.1: Exercises
    6.2: Volumes
    6.2: Exercises
    6.3: Volumes by Cylindrical Shells
    6.3: Exercises
    6.4 Work
    6.4: Exercises
    6.5: Average Value of a Function
    6.5: Exercises
    Ch 6: Review
    Ch 6: Problems Plus

    Ch 7: Techniques of Integration
    Ch 7: Introduction
    7.1: Integration by Parts
    7.1: Exercises
    7.2: Trigonometric Integrals
    7.2: Exercises
    7.3: Trigonometric Substitution
    7.3: Exercises
    7.4: Integration of Rational Functions by Partial Fractions
    7.4: Exercises
    7.5: Strategy for Integration
    7.5: Exercises
    7.6: Integration Using Tables and Computer Algebra Systems
    7.6: Exercises
    7.7: Approximate Integration
    7.7: Exercises
    7.8: Improper Integrals
    7.8: Exercises
    Ch 7: Review
    Ch 7: Problems Plus

    Ch 8: Further Applications of Integration
    Ch 8: Introduction
    8.1: Arc Length
    8.1: Exercises
    8.2: Area of a Surface of Revolution
    8.2: Exercises
    8.3: Applications to Physics and Engineering
    8.3: Exercises
    8.4: Applications to Economics and Biology
    8.4: Exercises
    8.5: Probability
    8.5: Exercises
    Ch 8: Review
    Ch 8: Problems Plus

    Ch 9: Differential Equations
    Ch 9: Introduction
    9.1: Modeling with Differential Equations
    9.1: Exercises
    9.2: Direction Fields and Euler’s Method
    9.2: Exercises
    9.3: Separable Equations
    9.3: Exercises
    9.4: Models for Population Growth
    9.4: Exercises
    9.5: Linear Equations
    9.5: Exercises
    9.6: Predator-Prey Systems
    9.6: Exercises
    Ch 9: Review
    Ch 9: Problems Plus

    Ch 10: Parametric Equations and Polar Coordinates
    Ch 10: Introduction
    10.1: Curves Defined by Parametric Equations
    10.1: Exercises
    10.2: Calculus with Parametric Curves
    10.2: Exercises
    10.3: Polar Coordinates
    10.3: Exercises
    10.4: Areas and Lengths in Polar Coordinates
    10.4: Exercises
    10.5: Conic Sections
    10.5: Exercises
    10.6: Conic Sections in Polar Coordinates
    10.6: Exercises
    Ch 10: Review
    Ch 10: Problems Plus

    Ch 11: Infinite Sequences and Series
    Ch 11: Introduction
    11.1: Sequences
    11.1: Exercises
    11.2: Series
    11.2: Exercises
    11.3: The Integral Test and Estimates of Sums
    11.3: Exercises
    11.4: The Comparison Tests
    11.4: Exercises
    11.5: Alternating Series
    11.5: Exercises
    11.6: Absolute Convergence and the Ratio and Root Tests
    11.6: Exercises
    11.7: Strategy for Testing Series
    11.7: Exercises
    11.8: Power Series
    11.8: Exercises
    11.9: Representations of Functions as Power Series
    11.9: Exercises
    11.10: Taylor and Maclaurin Series
    11.10: Exercises
    11.11: Applications of Taylor Polynomials
    11.11: Exercises
    Ch 11: Review
    Ch 11: Problems Plus

    Appendixes
    Appendix A: Numbers, Inequalities, and Absolute Values
    Appendix B: Coordinate Geometry and Lines
    Appendix C: Graphs of Second-Degree Equations
    Appendix D: Trigonometry
    Appendix E: Sigma Notation
    Appendix F: Proofs of Theorems
    Appendix G: The Logarithm Defined as an Integral
    Appendix H: Complex Numbers
    Appendix I: Answers to Odd-Numbered Exercises
    Index
  • Citation

Download now Calculus: Early Transcendentals

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