| 000 -LEADER |
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| fixed length control field |
09082cam a2200337 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
jomaaum |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20191204123136.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
191202s2016 at a 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781305272378 |
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| International Standard Book Number |
1305272374 |
| 041 ## - Language |
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| Language code of text/sound track or separate title |
eng |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA303.2 |
| Item number |
.S7315 2012 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
515 |
| Item number |
S849 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Stewart, James, |
| Dates associated with a name |
1941- |
| 9 (RLIN) |
27672 |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Calculus : |
| Remainder of title |
early transcendentals / |
| Statement of responsibility, etc |
James Stewart. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
8th ed., metric ver. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Australia : |
| Name of publisher, distributor, etc |
Cengage Learning, |
| Date of publication, distribution, etc |
2016. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxx, 1182, 152, [40] p. : |
| Other physical details |
col. ill. ; |
| Dimensions |
26 cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes index |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents 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 -- Laboratory project: families of implicit curves -- 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 -- |
|
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| Formatted contents 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. Applications of integration -- 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 : Calculus and baseball ; 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 -- |
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| Formatted contents 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 -- 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 : Bézier curves -- 10.3. Polar coordinates -- Laboratory project: families of polar curves -- 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 -- |
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| Formatted contents note |
12. Vectors and geometry of space -- 12.1. Three-dimensional coordinate systems -- 12.2. Vectors -- 12.3. The dot product -- 12.4. The cross product -- Discovery project : the geometry of a tetrahedron -- 12.5. Equations of lines and planes -- Laboratory project : putting 3D in perspective -- 12.6. Cylinders and quadric surfaces -- Review -- Problems plus -- 13. Vector functions -- 13.1. Vector functions and space curves -- 13.2. Derivatives and integrals of vector functions -- 13.3. Arc length and curvature -- 13.4. Motion in space : velocity and acceleration -- Applied project : Kepler's laws -- Review -- Problems plus -- 14. Partial derivatives -- 14.1. Functions of several variables -- 14.2. Limits and continuity -- 14.3. Partial derivatives -- 14.4. Tangent planes and linear approximations -- 14.5. The chain rule -- 14.6. Directional derivatives and the gradient vector -- 14.7. Maximum and minimum values -- Applied project : designing a dumpster -- Discovery project : quadratic approximation and critical points -- 14.8. Lagrange multipliers -- Applied project : rocket science -- Applied project : hydro-turbine optimization -- Review -- Problems plus -- |
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| Formatted contents note |
15. Multiple integrals -- 15.1. Double integrals over rectangles -- 15.2. Iterated integrals -- 15.3. Double integrals over general regions -- 15.4. Double integrals in polar coordinates -- 15.5. Applications of double integrals -- 15.6. Surface area -- 15.7. Triple integrals -- Discovery project : volumes of hyperspheres -- 15.8. Triple integrals in cylindrical coordinates -- Discovery project : the intersection of three cylinders -- 15.9. Triple integrals in spherical coordinates -- Applied project : roller derby -- 15.10. Change of variables in multiple integrals -- Review -- Problems plus -- 16. Vector calculus -- 16.1. Vector fields -- 16.2. Line integrals -- 16.3. The fundamental theorem for line integrals -- 16.4. Green's theorem -- 16.5. Curl and divergence -- 16.6. Parametric surfaces and their areas -- 16.7. Surface integrals -- 16.8. Stokes' theorem -- Writing project : three men and two theorems -- 16.9. The divergence theorem -- 16.10. Summary -- Review -- Problems plus -- 17. Second-order differential equations -- 17.1. Second-order linear equations -- 17.2. Nonhomogeneous linear equations -- 17.3. Applications of second-order differential equations -- 17.4. Series solutions -- Review -- 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 |
| 520 2# - SUMMARY, ETC. |
|---|
| Summary, etc |
Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANSCENDENTALS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| 9 (RLIN) |
20519 |
|
|---|
| Topical term or geographic name as entry element |
Calculus |
| Form subdivision |
Textbooks. |
| 9 (RLIN) |
4819 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Textbooks. |
| Source of term |
fast |
| 740 02 - ADDED ENTRY--UNCONTROLLED RELATED/ANALYTICAL TITLE |
|---|
| Uncontrolled related/analytical title |
Early transcendentals |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
Book |
