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eBook Details:
Full title: Single Variable Calculus: Early Transcendentals, 9th Edition
Edition: 9th
Copyright year: 2021
Publisher: Cengage Learning
Author: James Stewart; Daniel K. Clegg; Saleem Watson
ISBN: 9780357598351, 9780357633151
Format: PDF
Description of Single Variable Calculus: Early Transcendentals, 9th Edition:
James Stewart’s Calculus series is the top-seller in the world because of its problem-solving focus, mathematical precision and accuracy, and outstanding examples and problem sets. Selected and mentored by Stewart, Daniel Clegg and Saleem Watson continue his legacy of providing students with the strongest foundation for a STEM future. Their careful refinements retain Stewart’s clarity of exposition and make the 9th edition even more usable as a teaching tool for instructors and as a learning tool for students. Showing that Calculus is both practical and beautiful, the Stewart approach enhances understanding and builds confidence for millions of students worldwide.Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Table of Contents of Single Variable Calculus: Early Transcendentals, 9th Edition PDF ebook:
Contents
PrefaceA Tribute to James StewartAbout the AuthorsTechnology in the Ninth EditionTo the StudentDiagnostic TestsA: Diagnostic Test: AlgebraB: Diagnostic Test: Analytic GeometryC: Diagnostic Test: FunctionsD: Diagnostic Test: TrigonometryA Preview of CalculusWhat Is Calculus?The Area ProblemThe Tangent ProblemA Relationship between the Area and Tangent ProblemsSummaryChapter 1: Functions and Models1.1 Four Ways to Represent a Function1.2 Mathematical Models: A Catalog of Essential Functions1.3 New Functions from Old Functions1.4 Exponential Functions1.5 Inverse Functions and Logarithms1 ReviewPrinciples of Problem SolvingChapter 2: Limits and Derivatives2.1 The Tangent and Velocity Problems2.2 The Limit of a Function2.3 Calculating Limits Using the Limit Laws2.4 The Precise Definition of a Limit2.5 Continuity2.6 Limits at Infinity; Horizontal Asymptotes2.7 Derivatives and Rates of Change2.8 The Derivative as a Function2 ReviewProblems PlusChapter 3: Differentiation Rules3.1 Derivatives of Polynomials and Exponential Functions3.2 The Product and Quotient Rules3.3 Derivatives of Trigonometric Functions3.4 The Chain Rule3.5 Implicit Differentiation3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions3.7 Rates of Change in the Natural and Social Sciences3.8 Exponential Growth and Decay3.9 Related Rates3.10 Linear Approximations and Differentials3.11 Hyperbolic Functions3 ReviewProblems PlusChapter 4: Applications of Differentiation4.1 Maximum and Minimum Values4.2 The Mean Value Theorem4.3 What Derivatives Tell Us about the Shape of a Graph4.4 Indeterminate Forms and l’Hospital’s Rule4.5 Summary of Curve Sketching4.6 Graphing with Calculus and Technology4.7 Optimization Problems4.8 Newton’s Method4.9 Antiderivatives4 ReviewProblems PlusChapter 5: Integrals5.1 The Area and Distance Problems5.2 The Definite Integral5.3 The Fundamental Theorem of Calculus5.4 Indefinite Integrals and the Net Change Theorem5.5 The Substitution Rule5 ReviewProblems PlusChapter 6: Applications of Integration6.1 Areas between Curves6.2 Volumes6.3 Volumes by Cylindrical Shells6.4 Work6.5 Average Value of a Function6 ReviewProblems PlusChapter 7: Techniques of Integration7.1 Integration by Parts7.2 Trigonometric Integrals7.3 Trigonometric Substitution7.4 Integration of Rational Functions by Partial Fractions7.5 Strategy for Integration7.6 Integration Using Tables and Technology7.7 Approximate Integration7.8 Improper Integrals7 ReviewProblems PlusChapter 8: Further Applications of Integration8.1 Arc Length8.2 Area of a Surface of Revolution8.3 Applications to Physics and Engineering8.4 Applications to Economics and Biology8.5 Probability8 ReviewProblems PlusChapter 9: Differential Equations9.1 Modeling with Differential Equations9.2 Direction Fields and Euler’s Method9.3 Separable Equations9.4 Models for Population Growth9.5 Linear Equations9.6 Predator-Prey Systems9 ReviewProblems PlusChapter 10: Parametric Equations and Polar Coordinates10.1 Curves Defined by Parametric Equations10.2 Calculus with Parametric Curves10.3 Polar Coordinates10.4 Calculus in Polar Coordinates10.5 Conic Sections10.6 Conic Sections in Polar Coordinates10 ReviewProblems PlusChapter 11: Sequences, Series, and Power Series11.1 Sequences11.2 Series11.3 The Integral Test and Estimates of Sums11.4 The Comparison Tests11.5 Alternating Series and Absolute Convergence11.6 The Ratio and Root Tests11.7 Strategy for Testing Series11.8 Power Series11.9 Representations of Functions as Power Series11.10 Taylor and Maclaurin Series11.11 Applications of Taylor Polynomials11 ReviewProblems PlusAppendixesAppendix A: Numbers, Inequalities, and Absolute ValuesAppendix B: Coordinate Geometry and LinesAppendix C: Graphs of Second-Degree EquationsAppendix D: TrigonometryAppendix E: Sigma NotationAppendix F: Proofs of TheoremsAppendix G: The Logarithm Defined as an IntegralAppendix H: Answers to Odd-Numbered ExercisesIndex
