## Description

This edition of Calculus Late Transcendentals maintains those aspects of previous editions that have led to the series’ success—we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed to avoid unhappy surprises that can derail a calculus class.

The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.

This is really a great book to learn. Calculus writing is clear, and examples move from easy to difficult. If you are studying on your own, we recommend that you obtain this or any other previous edition of the book, together with the solution that solves all the problems. If you are teaching yourself to do calculations, you do not need the best and latest book. Save money and buy an old classic like this. If you can not find it, consider borrowing it through a library.

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• 0. Before Calculus
0.1 Functions
0.2New Functions from Old
0.3Families of Functions
0.4Inverse Functions
1. Limits and Continuity
1.1Limits (An Intuitive Approach)
1.2Computing Limits
1.3Limits at Infinity; End Behavior of a Function
1.4Limits (Discussed More Rigorously)
1.5Continuity
1.6Continuity of Trigonometric Functions

2. The Derivative
2.1Tangent Lines and Rates of Change
2.2The Derivative Function
2.3Introduction to Techniques of Differentiation
2.4The Product and Quotient Rules
2.5Derivatives of Trigonometric Functions
2.6The Chain Rule
2.7Implicit Differentiation
2.8Related Rates
2.9Local Linear Approximation; Differentials

3. The Derivative in Graphing and Applications
3.1Analysis of Functions I: Increase, Decrease, and Concavity
3.2Analysis of Functions II: Relative Extrema; Graphing Polynomials
3.3Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents
3.4Absolute Maxima and Minima
3.5Applied Maximum and Minimum Problems
3.6Rectilinear Motion
3.7Newton's Method
3.8Rolle's Theorem; Mean-Value Theorem

4. Integration
4.1An Overview of the Area Problem
4.2The Indefinite Integral
4.3Integration by Substitution
4.4 The Definition of Area as a Limit; Sigma Notation
4.5The Definite Integral
4.6The Fundamental Theorem of Calculus
4.7Rectilinear Motion Revisited: Using Integration
4.8Average Value of a Function and Its Applications
4.9Evaluating Definite Integrals by Substitution

5. Applications of the Definite Integral in Geometry, Science and Engineering
5.1Area Between Two Curves
5.2Volumes by Slicing; Disks and Washers
5.3Volumes by Cylindrical Shells
5.4Length of a Plane Curve
5.5Area of a Surface Revolution
5.6Work
5.7Moments, Centers of Gravity, and Centroids
5.8Fluid Pressure and Force

6. Exponential, Logarithmic, and Inverse Trigonometric Functions
6.1Exponential and Logarithmic Functions
6.2Derivatives and Integrals Involving Logarithmic Functions
6.3Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential Functions
6.4Graphs and Applications Involving Logarithmic and Exponential Functions
6.5L'Hˆopital's Rule; Indeterminate Forms
6.6Logarithmic and Other Functions Defined by Integrals
6.7Derivatives and Integrals Involving Inverse Trigonometric Functions
6.8Hyperbolic Functions and Hanging Cubes

Ch 7 Principles of Integral Evaluation
7.1 An Overview of Integration Methods
7.2 Integration by Parts
7.3 Integrating Trigonometric Functions
7.4 Trigonometric Substitutions
7.5 Integrating Rational Functions by Partial Fractions
7.6 Using Computer Algebra Systems and Tables of Integrals
7.7 Numerical Integration; Simpson's Rule
7.8 Improper Integrals

Ch 8 Mathematical Modeling with Differential Equations
8.1 Modeling with Differential Equations
8,2 Separation of Variables
8.3 Slope Fields; Euler's Method
8.4 First-Order Differential Equations and Applications

Appendix [order of sections TBD]
A Graphing Functions Using Calculators and Computer Algebra Systems
B Trigonometry Review
C Solving Polynomial Equations
D Mathematical Models
E Selected Proofs

Web Appendices
F Real Numbers, Intervals, and Inequalities
G Absolute Value
H Coordinate Planes, Lines, and Linear Functions
I Distance, Circles, and Quadratic Functions
J Second-Order Linear Homogeneous Differential Equations; The Vibrating String
K The Discriminant

PHOTOCREDITS
INDEX
• Citation

Type of file
Language
Pages
File size
Book
English
967 pag.
153 mb

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