Essential Calculus Early Transcendental Functions

ISBN-10: 0618879188

ISBN-13: 9780618879182

Edition: 2008

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Description: Essential Calculus: Early Transcendental Functions responds to the growing demand for a more streamlined and faster paced text at a lower price for students. This text continues the Larson tradition by offering instructors proven pedagogical techniques and accessible content and innovative learning resources for student success.

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Book details

List price: $256.95
Copyright year: 2008
Publisher: CENGAGE Learning
Publication date: 1/10/2007
Binding: Hardcover
Pages: 1008
Size: 8.75" wide x 10.75" long x 1.50" tall
Weight: 5.126
Language: English

Ron Larson received his PhD. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about using computer technology as a teaching tool and motivational aid. His Interactive Calculus (a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level, and it was the first mainstream college textbook to be offered on the Internet.

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

Limits and Their Properties
Linear Models and Rates of Change
Functions and Their Graphs
Inverse Functions
Exponential and Logarithmic Functions
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Infinite Limits
Differentiation
The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
Product and Quotient Rules and Higher-Order Derivatives
The Chain Rule
Implicit Differentiation
Derivatives of Inverse Functions
Related Rates
Newton's Method
Applications of Differentiation
Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test
Concavity and the Second Derivative Test
Limits at Infinity
Optimization Problems
Differentials
Integration
Antiderivatives and Indefinite Integration
Area
Riemann Sums and Definite Integrals
The Fundamental Theorem of Calculus
Integration by Substitution
Numerical Integration
The Natural Logarithmic Function: Integration
Inverse Trigonometric Functions: Integration
Hyperbolic Functions
Applications of Integration
Area of a Region Between Two Curves
Volume: The Disk Method
Volume: The Shell Method
Arc Length and Surfaces of Revolution
Applications in Physics and Engineering
Differential Equations: Growth and Decay
Integration Techniques, L'H?pital's Rule, and Improper Integrals
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Partial Fractions
Integration by Tables and Other Integration Techniques
Indeterminate Forms and L'H?pital's Rule
Improper Integrals
Infinite Series
Sequences
Series and Convergence
The Integral and Comparison Tests
Other Convergence Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series
Conics, Parametric Equations, and Polar Coordinates
Plane Curves and Parametric Equations
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs
Area and Arc Length in Polar Coordinates
Polar Equations and Conics and Kepler's Laws
Vectors and the Geometry of Space
Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Surfaces in Space
Cylindrical and Spherical Coordinates
Vector-Valued Functions
Vector-Valued Functions
Differentiation and Integration of Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives
Differentials and the Chain Rule
Directional Derivatives and Gradients
Tangent Planes and Normal Lines
Extrema of Functions of Two Variables
Lagrange Multipliers
Multiple Integration
Iterated Integrals and Area in the Plane
Double Integrals and Volume
Change of Variables: Polar Coordinates
Center of Mass and Moments of Inertia
Surface Area
Triple Integrals and Applications
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables: Jacobians
Vector Analysis
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem
Parametric Surfaces
Surface Integrals
Divergence Theorem
Stokes's Theorem
Proofs of Selected Theorems
Integration Tables
Business and Economic Applications
Answers to Odd-Numbered
Exercises
Index
Additional Appendices
Precalculus Review
Real Numbers and the Real Number Line
The Cartesian Plane
Review of Trigonometric Functions
Rotation and General Second-Degree Equation
Complex Numbers
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