Thomas' Calculus Early Transcendentals

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  • Edition: 11th
  • Format: Hardcover
  • Copyright: 1/1/2006
  • Publisher: Addison Wesley
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This is the most comprehensive revision of Thomas' Calculus in 25 years. The new edition of Thomas is a return to what Thomas has always been: the book with the best exercises. For the 11th edition, the authors have added exercises cut in the 10th edition, as well as exercises and examples from the classic 5th and 6th editions. The book's theme is that Calculus is about thinking; one cannot memorize it all. The exercises develop this theme as a pivot point between the lecture in class, and the understanding that comes with applying the ideas of Calculus. In addition, the table of contents has been refined, introducing transcendentals in the first seven chapters. Many of the examples have been trimmed of distractions and rewritten with a clear focus on the main ideas. The authors have also excised extraneous information in general and have made the technology much more transparent. The ambition of Thomas 11e is to teach the ideas of Calculus so that students will be able to apply them in new and novel ways, first in the exercises but ultimately in their careers. Every effort has been made to insure that all content in the new edition reinforces thinking and encourages deep understanding of the material.

Table of Contents

Functions ?
Functions and Their Graphs
Identifying Functions
Mathematical Models
Combining Functions
Shifting and Scaling Graphs
Graphing with Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Limits and Continuity
Rates of Change and Limits
Calculating Limits Using the Limit Laws
Precise Definition of a Limit
One-Sided Limits and Limits at Infinity
Infinite Limits and Vertical Asymptotes
Tangents and Derivatives
The Derivative as a Function
Differentiation Rules for Polynomials, Exponentials, Products and Quotients
The Derivative as a Rate of Change
Derivatives of Trigonometric Functions
The Chain Rule and Parametric Equations
Implicit Differentiation
Derivatives of Inverse Functions and Logarithms
Inverse Trigonometric Functions
Related Rates
Linearization and Differentials
Applications of Derivatives
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the First Derivative Test
Concavity and Curve Sketching
Applied Optimization Problems
Indeterminate Forms and L'Hopital's Rule
Newton's Method
Estimating with Finite Sums
Sigma Notation and Limits of Finite Sums
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
Substitution and Area Between Curves
Applications of Definite Integrals
Volumes by Slicing and Rotation About an Axis
Volumes by Cylindrical Shells
Lengths of Plane Curves
Moments and Centers of Mass
Areas of Surfaces of Revolution and The Theorems of Pappus
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