Calculus : Early Transcendentals

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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2010-11-19
  • Publisher: Cengage High School
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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.

This textbook is presents material in a clear way that's easy to follow, and provides lots of examples. The format is well laid-out, which makes it easy to use for test prep, or for quickly looking something up. There are lots of practice questions of varying difficulty, and many application problems to show the real-world usefulness of math. The solution manual that comes with the book is very thorough and provides excellent descriptions of the solutions.

With Calculus: Early Transcendentals, Seventh 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.

Table of Contents

Diagnostic Tests
A Preview of Calculus
Functions And Models
Four Ways to Represent a Function
Mathematical Models: A Catalog of Essential Functions
New Functions from Old Functions
Graphing Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Principles of Problem Solving
Limits And Derivatives
The Tangent and Velocity Problems
The Limit of a Function
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit
Limits at Infinity
Horizontal Asymptotes
Derivatives and Rates of Change
Writing Project: Early Methods for Finding Tangents
The Derivative as a Function
Problems Plus
Differentiation Rules
Derivatives of Polynomials and Exponential Functions
Applied Project: Building a Better Roller Coaster
The Product and Quotient Rules
Derivatives of Trigonometric Functions
The Chain Rule
Applied Project: Where Should a Pilot Start Descent?
Implicit Differentiation
Derivatives of Logarithmic Functions
Rates of Change in the Natural and Social Sciences
Exponential Growth and Decay
Related Rates
Linear Approximations and Differentials
Laboratory Project: Taylor Polynomials
Hyperbolic Functions
Problems Plus
Applications Of Differentiation
Maximum and Minimum Values
Applied Project: The Calculus of Rainbows
The Mean Value Theorem
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L'Hospital's Rule
Writing Project: The Origins of l'Hospital's Rule
Summary of Curve Sketching
Graphing with Calculus and Calculators
Optimization Problems
Applied Project: The Shape of a Can
Newton's Metho
Problems Plus
Areas and Distances
The Definite Integral
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Problems Plus
Applications Of Integration
Areas between Curves
Volumes by Cylindrical Shells
Average Value of a Function
Applied Project: Where to Sit at the Movies
Problems Plus
Techniques Of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Problems Plus
Further Applications Of Integration
Arc Length
Discovery Project: Arc Length ConteSt. Area of a Surface of Revolution
Discovery Project: Rotating on a Slant
Applications to Physics and Engineering
Discovery Project: Complementary Coffee Cups
Problems Plus
Differential Equations
Modeling with Differential Equations
Direction Fields and Euler's Method
Separable Equations
Applied Project: Which is Faster, Going Up or Coming Down?
Models for Population Growth
Applied Project: Calculus and Baseball
Linear Equations
Predator-Prey Systems
Problems Plus
Parametric Equations And Polar Coordinates
Curves Defined by Parametric Equations
Laboratory Project: Families of Hypocycloids
Calculus with Parametric Curves
Laboratory Project: Bezier Curves
Polar Coordinates
Areas and Lengths in Polar Coordinates
Conic Sections
Conic Sections in Polar Coordinates
Problems Plus
Infinite Sequences And Series
Laboratory Project: Logistic Sequences
The Integral Test and Estimates of Sums
The Comparison Tests
Alternating Series
Absolute Convergence and the Ratio and Root Tests
Strategy for Testing Series
Power Series
Representations of Functions as Power Series
Taylor and Maclaurin Series
Laboratory Project: An Elusive Limit
Writing Project: How Newton Discovered the Binomial Series
Applications of Taylor Polynomials
Applied Project: Radiation from the Stars
Problems Plus
Vectors And The Geometry Of Space
Three-Dimensional Coordinate Systems
The Dot Product
The Cross Product
Discovery Project: The Geometry of a Tetrahedron
Equations of Lines and Planes
Quadric Surfaces
Cylindrical and Spherical Coordinates
Laboratory Project: Families of Surfaces
Problems Plus
Vector Functions
Vector Functions and Space Curves
Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space: Velocity and Acceleration
Applied Project: Kepler's Laws
Problems Plus
Partial Derivatives
Functions of Several Variables
Limits and Continuity
Partial Derivatives
Tangent Planes and Differentials
The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values
Applied Project: Designing a Dumpster
Discovery Project: Quadratic Approximations and Critical Points
Lagrange Multipliers
Applied Project: Rocket Science
Applied Project: Hydro-Turbine Optimization
Problems Plus
Multiple Integrals
Double Integrals over Rectangles
Iterated Integrals
Double Integrals over General Regions
Double Integrals in Polar Coordinates
Applications of Double Integrals
Surface Area
Triple Integrals
Discovery Project: Volumes of Hyperspheres
Triple Integrals in Cylindrical and Spherical Coordinates
Applied Project: Roller Derby
Discovery Project: The Intersection of Three Cylinders
Change of Variables in Multiple Integrals
Problems Plus
Vector Calculu
Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem
Curl and Divergence
Parametric Surfaces and Their Areas
Surface Integrals
Stokes' Theorem
Writing Project: Three Men and Two Theorems
The Divergence Theorem
Problems Plus
Second-Order Differential Equations
Second-Order Linear Equations
Nonhomogeneous Linear Equations
Applications of Second-Order Differential Equations
Series Solutions
Problems Plus
Numbers, Inequalities, and Absolute Values
Coordinate Geometry and Lines
Graphs of Second-Degree Equations
Sigma Notation
Proofs of Theorems
The Logarithm Defined as an Integral
Complex Numbers
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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Customer Reviews

Useful.. February 28, 2015
"No markings, cover in good shape. It had all of the pages I needed."
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helpful July 31, 2014
this book really helped me through calculus, which can be exceedingly hard to conquer.
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Wonderful book April 17, 2011
This textbook is great in explaining most theorems with concise and clear graphs/explanations. In my class we use the textbook by Tom Apostol, which even if it could be considered more "pure" and "theoretical," it's mostly a bunch of indecipherable babble if not supplemented by a great teacher, as it unfortunately is in my case. I have found it to be very helpful. It explains the problem clearly and they go from easy to difficult. Very catchy to the eye...Would definitely recommend this wonderful textbook.
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Calculus : Early Transcendentals: 4.7 out of 5 stars based on 3 user reviews.

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