MARC details
| 000 -LEADER |
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| fixed length control field |
09534cam a2200613 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
AE-DuAU |
| 001 - CONTROL NUMBER |
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| control field |
ocn704439548 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241127180239.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100908s2012 caua 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2010936599 |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBB191261 |
| Source |
bnb |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780538498876 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780538497909 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0840058853 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780840058850 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0538498714 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780538498715 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0538498870 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0538497904 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0840048254 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780840048257 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000046865038 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000047813572 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000048622424 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000055126786 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
CHBIS |
| System control number |
006789662 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
CHVBK |
| System control number |
177665084 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
NZ1 |
| System control number |
14029403 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
<a href="(OCoLC)704439548">(OCoLC)704439548</a> |
| Canceled/invalid control number |
(OCoLC)768471155 |
| -- |
(OCoLC)775364422 |
| -- |
(OCoLC)780099697 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Transcribing agency |
DLC |
| Modifying agency |
PUL |
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SINIE |
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IUL |
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YDXCP |
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TR7RH |
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ABC |
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CRH |
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CDX |
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WAU |
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CUY |
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IXA |
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OCLCF |
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OCLCO |
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UNBCA |
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OCLCQ |
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AU@ |
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OCLCQ |
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I8M |
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OCLCQ |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA303.2 |
| Item number |
.S7315 2012 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (OCLC) |
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| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA 303.2 .S7315 2012 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Stewart, James, |
| Dates associated with a name |
1941- |
| 9 (RLIN) |
21103 |
| 240 10 - UNIFORM TITLE |
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| Uniform title |
<a href="Calculus (Early transcendentals)">Calculus (Early transcendentals)</a> |
| 245 10 - TITLE STATEMENT |
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| Title |
Calculus : |
| Remainder of title |
early transcendentals / |
| Statement of responsibility, etc |
James Stewart. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
7th ed. |
| Remainder of edition statement |
International ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Belmont, Cal. : |
| Name of publisher, distributor, etc |
Brooks/Cole, Cengage Learning, |
| Date of publication, distribution, etc |
c2012. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 volume (various pagings) : |
| Other physical details |
illustrations (some color) ; |
| Dimensions |
26 cm |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier Type Term |
volume |
| Carrier Type Code |
nc |
| Source |
rdacarrier |
| 500 ## - GENERAL NOTE |
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| General note |
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. |
| 505 0# - FORMATTED CONTENTS NOTE |
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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 -- Applied project : the Gini index -- 6.2. Volumes -- 6.3. Volumes by cylindrical shells -- 6.4. Work -- 6.5. Average value of a function -- Applied project : Calculus and baseball ; Applied project : 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. |
| 505 0# - FORMATTED CONTENTS NOTE |
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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 : Bezier 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. |
| 505 0# - FORMATTED CONTENTS NOTE |
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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 approximations and critical points -- 14.8. Lagrange multipliers -- Applied project : rocket science -- Applied project : hydro-turbine optimization -- Review -- Problems plus. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| Form subdivision |
Textbooks. |
| 9 (RLIN) |
16652 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus. |
| Source of heading or term |
fast |
| 9 (RLIN) |
16597 |
| 655 #7 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Textbooks. |
| Source of term |
fast |
| -- |
20741 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Item type |
Books |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) |
|---|
| a |
44948 |