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Thomas' Calculus Early Transcendentals
ISBN: 9780321198006 | 032119800X
Edition: 11thFormat: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2006
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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.
| 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 | ... MORE|
| Calculating Limits Using the Limit Laws | |
| Precise Definition of a Limit | |
| One-Sided Limits and Limits at Infinity | |
| Infinite Limits and Vertical Asymptotes | |
| Continuity | |
| Tangents and Derivatives | |
| Differentiation | |
| 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 | |
| Antiderivatives | |
| Integration | |
| 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 | |
| Work& | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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