 Skip to content

# Calculus Early Vectors

## Edition: 1999

### Authors: James Stewart, Arthur Belmonte, Albert Boggess, Dante DeBlassie

List price: \$269.95 30 day, 100% satisfaction guarantee!
what's this?
Rush Rewards U
Members Receive:  You have reached 400 XP and carrot coins. That is the daily max!
Once again keeping a keen ear to the needs of the evolving calculus community, Stewart created this text at the suggestion and with the collaboration of professors in the mathematics department at Texas A&M University. With an early introduction to vectors and vector functions, the approach is ideal for engineering students who use vectors early in their curriculum. Stewart begins by introducing vectors in Chapter 1, along with their basic operations, such as addition, scalar multiplication, and dot product. The definition of vector functions and parametric curves is given at the end of Chapter 1 using a two-dimensional trajectory of a projectile as motivation. Limits, derivatives, and…
Customers also bought

### Book details

List price: \$269.95
Copyright year: 1999
Publisher: Brooks/Cole
Publication date: 5/9/2003
Binding: Hardcover
Pages: 1120
Size: 8.82" wide x 10.31" long x 1.73" tall
Weight: 5.082

 Review and Preview Functions and Their Graphs Types of Functions Shifting and Scaling Graphing Calculators and Computers Principles of Problem Solving A Preview of Calculus Introduction to Vectors and Vector Functions Vectors The Dot Product Vector Functions Review Limits and Rates of Change The Tangent and Velocity Problems The Limit of a Function Calculating Limits Using the Limit Law The Precise Definition of a Limit Continuity Limits at Infinity Horizontal Asymptotes Tangents, Velocities, and Other Rates of Change Review Derivatives Derivatives Differentiation Formulas Rates of Change in the Natural and Social Sciences Derivatives of Trigonometric Functions The Chain Rule Implicit Differentiation Derivatives of Vector Functions Higher Derivatives Slopes and Tangents of Parametric Curves Related Rates Differentials; Linear and Quadratic Approximations Newton's Method Review Problems Plus Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions Exponential Functions and Their Derivatives Inverse Functions Logarithmic Functions Derivatives of Logarithmic Functions Exponential Growth and Decay Inverse Trigonometric Functions Hyperbolic Functions Indeterminate Forms and L'Hospital's Rule Review Applications Plus Applications of Differentiation What does f Say about f? Maximum and Minimum Values Derivatives and the Shapes of Curves Graphing with Calculus and Calculators Applied Maximum and Minimum Problems Applications to Economics Antiderivatives Review Problems Plus Integrals Sigma Notation Area The Definite Integral The Fundamental Theorem of Calculus The Substitution Rule The Logarithm Defined as an Integral Review Applications Plus Applications of Integration Areas between Curves Volume Volumes by Cylindrical Shells Work Average Value of a Function Review Problems Plus Techniques of Integration Integration by Parts Trigonometric Integrals Trigonometric Substitution Integration of Rational Functions by Partial Fractions Rationalizing Substitutions Strategy for Integration Using Tables of Integrals and Computer Algebra Systems Approximate Integration Improper Integrals Review Applications Plus Further Applications of Integration Differential Equations First-Order Linear Equations Arc Length Area of Surface of Revolution Moments and Centers of Mass Hydrostatic Pressure and Force Applications to Economics and Biology Review Problems Plus Infinite Sequences and Series Sequences Series The Integral Test and Comparison Tests Other Convergence Tests Power Series Representation of Functions as Power Series Taylor and Maclaurin Series The Binomial Series Writing Project: How Newton Discovered the Binomial Series Applications of Taylor Polynomials Review Applications Plus Three-Dimensional Analytic Geometry and Vectors Three-Dimensional Coordinate Systems Vectors and the Dot Product in Three Dimension The Cross Product Equations of Lines and Planes Quadric Surfaces Vector Functions and Space Curves Arc Length and Curvature Motion in Space Review Applications 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 Lagrange Multipliers Review Problems Plus Multiple Integrals Double Integrals over Rectangles Iterated Integrals Double Integrals over General Regions Polar Coordinates Applications of Double Integrals Surface Area Triple Integrals Cylindrical and Spherical Coordinates Triple Integrals in Cylindrical and Spherical Coordinates Change of Variables in Multiple Integrals Review Applications Plus Vector Calculus Vector Fields Line Integrals The Fundamental Theorem for Line Integrals Green's Theorem Curl and Divergence Parametric Surfaces and their Areas Surface Integrals Stoke's Theorem The Divergence Theorem Summary Review Problems Plus Second-Order Differential Equations Second-Order Linear Equations Nonhomogeneous Linear Equations Applications of Second-Order Differential Equations Using Series to Solve Differential Equations Review Problems Plus Numbers, Inequalities, and Absolute Values Coordinate Geometry and Lines Graphs of Second-Degree Equations Trigonometry Mathematical Induction Proofs of Theorems Lies My Calculator and Computer Told Me Complex Numbers Conic Sections Conic Sections in Polar Coordinates Answers to Odd-Numbered Exercises Index