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Calculus James Stewart

Calculus By James Stewart

Calculus by James Stewart

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Summary

James Stewart has revised this calculus text, retaining the focus on problem solving, accuracy, explanations, and graded problems. In this edition, Stewart has increased his emphasis on technology and innovation and has expanded his focus on problem solving and applications.

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Calculus Summary

Calculus: Early Transcendentals Version by James Stewart

James Stewart has revised this calculus text, retaining the focus on problem solving, accuracy, explanations, and the graded problems. In this edition, Stewart has increased his emphasis on technology and innovation and has expanded his focus on problem solving and applications. When writing his previous editions, Stewart set out to bring some of the spirit of Polya to his presentation. This resulted in the strategy sections in the First Edition and the Problems Plus and Applications Plus in the Second Edition. Now in the Third Edition, he extends the idea further with a new section on Principles of Problem Solving and new extended examples in the Problems Plus sections. Stewart makes a serious attempt to help students reason mathematically.

Table of Contents

Review and Preview. Functions and Their Graphs. Types of Functions; Shifting and Scaling. Graphing Calculators and Computers. Principles of Problem Solving. A Preview of Calculus. 1. Limits and Rates of Change. 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. Tangents, Velocities, and Other Rates of Change. 2. Derivatives. Derivatives. Differentiation Formulas. Rates of Change in the Natural and Social Sciences. Derivatives of Trigonometric Functions. The Chain Rule. Implicit Differentiation. Higher Derivatives. Related Rates. Differentials and Linear Approximations. Newton's Method. 3. Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions. Exponential Functions and Their Derivatives. Inverse Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay. Inverse Trigonometric Functions. Hyperbolic Functions. Indeterminate Forms and l'Hospital's Rule. 4. The Mean Value Theorem and Curve Sketching. Maximum and Minimum Values. The Mean Value Theorem. Monotonic Functions and the First Derivative Test. Concavity and Points of Inflection. Curve Sketching. Graphing with Calculators and Calculus. Applied Maximum and Minimum Problems. Applications to Economics. Antiderivatives. 5. Integrals. Sigma Notation. Area. The Definite Integral. The Fundamental Theorem of Calculus. The Substitution Rule. The Logarithm as an Integral. 6. Applications of Integration. Areas Between Curves. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. 7. Techniques of Integration. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Rationalizing Substitutions. Strategy for Integration. Using Tables of Integrals and Computer Algebra Systems. Approximate Integration. Improper Integrals. 8. Further Applications of Integration. Differential Equations. Arc Length. Area of a Surface of Revolution. Hydrostatic Pressure. Moments and Centers of Mass. Applications to Economics and Biology. 9. Parametric Equations and Polar Co-ordinates. Curves Defined by Parametric Equations. Tangents and Areas. Arc Length and Surface Area. Polar Co-ordinates. Areas and Lengths in Polar Co-ordinates. Conic Sections in Polar Co-ordinates. 10. Infinite Sequences and Series. Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representation of Functions as Power Series. Taylor and Maclaurin Series. The Binomial Series. Applications of Taylor Polynomials. 11. Three-Dimensional Analytic Geometry and Vectors. Three-Dimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Equations of Lines and Planes. Quadric Surfaces.

Additional information

CIN0534251587G
9780534251581
0534251587
Calculus: Early Transcendentals Version by James Stewart
James Stewart
Used - Good
Hardback
Cengage Learning, Inc
19950302
1120
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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