عنوان

Calculus :

(Number (ISBN

9780495011668

Country Code

IR

Number

EN-52942

.Language of Text, Soundtrack etc

انگلیسی

Country of publication

IR

Title Proper

Calculus :

General Material Designation

[Book]

Other Title Information

:early transcendentals

First Statement of Responsibility

/ James Stewart

Edition Statement

6th ed.

Place of Publication, Distribution, etc.

Belmont, CA

Name of Publisher, Distributor, etc.

: Thomson Brooks/Cole,

Date of Publication, Distribution, etc.

, c2008.

Specific Material Designation and Extent of Item

1 v.

Other Physical Details

:(various pagings) , ill. (some col.) , 26 cm.

Text of Note

Electronic

Text of Note

Includes index.

Text of Note

8. Further applications of integration -- 8.1. Arc length -- Discovery project : arc length contest -- 8.2. Area of a surface of revolution -- Discovery project : rotating on a slant -- 8.3. Applications to physics and engineering -- Discovery project : complementary coffee cups -- 8.4. Applications to economics and biology -- 8.5. Probability -- Review -- Problems plus -- 9. Differential equations -- 9.1. Modeling with differential equations -- 9.2. Direction fields and Euler's method -- 9.3. Separable equations -- Applied project : how fast does a tank drain? -- Applied project : which is faster, going up or coming down? -- 9.4. Models for population growth -- Applied project : calculus and baseball -- 9.5. Linear equations -- 9.6. Predator-prey systems -- Review -- Problems plus -- 10. Parametric equations and polar coordinates -- 10.1. Curves defined by parametric equations -- Laboratory project : running circles around circles -- 10.2. Calculus with parametric curves -- Laboratory project : BooAش?zier curves -- 10.3. Polar coordinates -- 10.4. Areas and lengths in polar coordinates -- 10.5. Conic sections -- 10.6. Conic sections in polar coordinates -- Review -- Problems plus -- 11. Infinite sequences and series -- 11.1. Sequences -- Laboratory project : logistic sequences -- 11.2. Series -- 11.3. The integral test and estimates of sums -- 11.4. The comparison tests -- 11.5. Alternating series -- 11.6. Absolute convergence and the ratio and root tests -- 11.7. Strategy for testing series -- 11.8. Power series -- 11.9. Representations of functions as power series -- 11.10. Taylor and Maclaurin series -- Laboratory project : an elusive limit -- Writing project : how Newton discovered the binomial series -- 11.11. Applications of Taylor polynomials -- Applied project : radiation from the stars -- Review -- Problems plus --

Text of Note

4. Applications of differentiation -- 4.1. Maximum and minimum values -- Applied project : the calculus of rainbows -- 4.2. The mean value theorem -- 4.3. How derivatives affect the shape of a graph -- 4.4. Indeterminate forms and L'Hospital's rule -- Writing project : the origins of L'Hospital's rule -- 4.5. Summary of curve sketching -- 4.6. Graphing with calculus and calculators -- 4.7. Optimization problems -- Applied project : the shape of a can -- 4.8. Newton's method -- 4.9. Antiderivatives -- Review -- Problems plus -- 5. Integrals -- 5.1. Areas and distances -- 5.2. The definite integral -- Discovery project : area functions -- 5.3. The fundamental theorem of calculus -- 5.4. Indefinite integrals and the net change theorem -- Writing project : Newton, Leibniz, and the invention of calculus -- 5.5. The substitution rule -- Review -- Problems plus -- 6. Integrals -- 6.1. Areas between curves -- 6.2. Volumes -- 6.3. Volumes by cylindrical shells -- 6.4. Work -- 6.5. Average value of a function -- Applied projects : where to sit at the movies -- Review -- Problems plus -- 7. Techniques of integration -- 7.1. Integration by parts -- 7.2. Trigonometric integrals -- 7.3. Trigonometric substitution -- 7.4. Integration of rational functions by partial fractions -- 7.5. Strategy for integration -- 7.6. Integration using tables and computer algebra systems -- Discovery project : patterns in integrals -- 7.7. Approximate integration -- 7.8. Improper integrals -- Review -- Problems plus --

Text of Note

Preface -- To the student -- Diagnostic tests -- A preview of calculus -- 1. Functions and models -- 1.1. Four ways to represent a function -- 1.2. Mathematical models : a catalog of essential functions -- 1.3. New functions from old functions -- 1.4. Graphing calculators and computers -- 1.5. Exponential functions -- 1.6. Inverse functions and logarithms -- Review -- Principles of problem solving -- 2. Limits and derivatives -- 2.1. The tangent and velocity problems -- 2.2. The limit of a function -- 2.3. Calculating limits using the limit laws -- 2.4. The precise definition of a limit -- 2.5. Continuity -- 2.6. Limits at infinity ; horizontal asymptotes -- 2.7. Derivatives and rates of change -- Writing project : early methods for finding tangents -- 2.8. The derivative as a function -- Review -- Problems plus -- 3. Differentiation rules -- 3.1. Derivatives of polynomials and exponential functions -- Applied project : building a better roller coaster -- 3.2. The product and quotient rules -- 3.3. Derivatives of trigonometric functions -- 3.4. The chain rule -- Applied project : where should a pilot start descent? -- 3.5. Implicit differentiation -- 3.6. Derivatives of logarithmic functions -- 3.7. Rates of change in the natural and social sciences -- 3.8. Exponential growth and decay -- 3.9. Related rates -- 3.10. Linear approximations and differentials -- Laboratory project : Taylor polynomials -- 3.11. Hyperbolic functions -- Review -- Problems plus --

Calculus , Textbooks

Transcendental functions , Textbooks

Class number

Stewart, James, 1941-

Country

ایران

Host name

9780495011668.pdf

Access number

عادی

Compression information

عادی

Date and Hour of Consultation and Access

9780495011668.pdf

Electronic Format Type

متن

old catalog

e

BL

1

a

Y