Calculus 6e SI : Early Transcendentals, Metric - Stewart, James

Calculus 6e SI : Early Transcendentals, Metric

James Stewart

Yayınevi: Cengage Learning

Yayın tarihi: 01/2008

ISBN: 9780495382737

İngilizce | 1336 Sayfa | Büyük boy  |  256 mm x 223 mm

Tür: Matematik-İstatistik

James Stewart's Calculus texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the International Metric Sixth Edition of Calculus: Early Transcendentals, Stewart continues to set the standard for the course while adding new diagnostic tools, carefully revised content, and all-new course management tools built on the foundation of Stewart's renowned content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Sixth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.

Table of contents:
1. Functions and Models
Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Graphing Calculators and Computers. Exponential Functions. Inverse Functions and Logarithms. Principles of Problem Solving.
2. Limits and Derivatives
The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function.
3. Differentiation Rules
Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Derivatives of Logarithmic Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Related Rates. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Hyperbolic Functions.
4. Applications of Differentiation
Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. How Derivatives Affect the Shape of a Graph. Indeterminate Forms and L''Hospital''s Rule. Writing Project: The Origins of L''Hospital''s Rule. Summary of Curve Sketching. Graphing with Calculus and Calculators. Optimization Problems. Applied Project: The Shape of a Can. Applications to Business and Economics. Newton''s Method. Antiderivatives.
5. Integrals
Areas and Distances. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Total Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule.
6. Applications of Integration
Areas between Curves. Volume. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Where to Sit at the Movies.
Appendixes
A: Numbers, Inequalities, and Absolute Values
B: Coordinate Geometry and Lines
C: Graphs of Second-Degree Equations
D: Trigonometry
E: Sigma Notation
F: Proofs of Theorems
G: The Logarithm Defined as an Integral
H: Complex Numbers
I: Answers to Odd-Numbered Exercises

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