MARC details
| 000 -LEADER |
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| fixed length control field |
06978cam a2200325 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20190215161820.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
090723s2011 maua 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2009933325 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0538735503 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780538735506 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780538735513 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0538735511 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)326626817 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Larson, Ron, |
| Dates associated with a name |
1941- |
| 245 10 - TITLE STATEMENT |
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| Title |
Calculus : |
| Remainder of title |
early transcendental functions. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
5th ed. / |
| Remainder of edition statement |
Ron Larson, Bruce H. Edwards. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Boston, MA : |
| Name of publisher, distributor, etc |
Brooks/Cole, Cengage Learning, |
| Date of publication, distribution, etc |
c2011. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xx, 1142, 197 p. : |
| Other physical details |
ill. (some col.) ; |
| Dimensions |
28 cm. |
| 500 ## - GENERAL NOTE |
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| General note |
Includes index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Contents: 1. Preparation for calculus. Graphs and models -- Linear models and rates of change -- Functions and their graphs -- Fitting models to data -- Inverse functions -- Exponential and logarithmic functions -- 2. Limits and their properties. A preview of calculus -- Finding limits graphically and numerically -- Evaluating limits analytically -- Continuity and one-sided limits -- Infinite limits -- Section project : graphs and limits of trigonometric functions -- 3. Differentiation. The derivative and the tangent line problem -- Basic differentiation rules and rates of change -- Product and quotient rules and higher-order derivatives -- The chain rule -- Implicit differentiation -- Section project : optical illusions -- Derivatives of inverse functions -- Related rates -- Newton's method -- 4. Applications of differentiation. Extrema on an interval -- Rolle's theorem and the mean value theorem -- Increasing and decreasing functions and the first derivative test -- Section project : rainbows -- Concavity and the second derivative test -- Limits at infinity -- A summary of curve sketching -- Optimization problems -- Section project : Connecticut river -- Differentials -- 5. Integration. Antiderivatives and indefinite integration -- Area -- Riemann sums and definite integrals -- The fundamental theorem of calculus -- Section project : demonstrating the fundamental theorem -- Integration by substitution -- Numerical integration -- The natural logarithmic function : Integration -- Inverse trigonometric functions : integration -- Hyperbolic functions -- Section project : St. Louis Arch -- 6. Differential equations. Slope fields and Euler's method -- Differential equations : growth and decay -- Differential equations : separation of variables -- The logistic equation -- First-order linear differential equations -- Section project : weight loss -- Predator-prey differential equations -- |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Contents: 7. Applications of integration. Area of a region between two curves -- Volume : the disk method -- Volume : the shell method -- Section Project : Saturn -- Arc length and surfaces of revolution -- Work -- Section project : tidal energy -- Moments, centers of mass, and centroids -- Fluid pressure and fluid force -- 8. Integration techniques, L'Hôpital's rule, and improper integrals. Basic integration rules -- Integration by parts -- Trigonometric integrals -- Section project : power lines -- Trigonometric substitution -- Partial fractions -- Integration by tables and other integration techniques -- Indeterminate forms and L'Hôpital's rule -- Improper integrals -- 9. Infinite series. Sequences -- Series and convergence -- Section project : Cantor's disappearing table -- The integral test and p-series -- Section project : the harmonic series -- Comparisons of series -- Section project : solera method -- Alternating series -- The ratio and root tests -- Taylor polynomials and approximations -- Power series -- Representation of functions by power series -- Taylor and Maclaurin series -- 10. Conics, parametric equations, and polar coordinates. Conics and calculus -- Plane curves and parametric equations -- Section projects : cycloids -- Parametric equations and calculus -- Polar coordinates and polar graphs -- Section project : anamorphic art -- Area and arc length in polar coordinates -- Polar equations of conics and Kepler's laws -- 11. Vectors and the geometry of space. Vectors in the plane -- Space coordinates and vectors in space -- The dot product of two vectors -- The cross Product of two vectors in space -- Lines and planes in space -- Section project : distances in space -- Surfaces in space -- Cylindrical and spherical coordinates -- |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Contents: 12. Vector-valued functions. Vector-valued functions -- Section project : witch of Agnesi -- Differentiation and integration of vector-valued functions -- Velocity and acceleration -- Tangent vectors and normal vectors -- Arc length and curvature -- 13. Functions of several variables. Introduction to functions of several variables -- Limits and continuity -- Partial derivatives -- Section project : Moire fringes -- Differentials -- Chain rules for functions of several variables -- Directional derivatives and gradients -- Tangent planes and normal lines -- Section project : wildflowers -- Extrema of functions of two variables -- applications of extrema of functions of two variables -- Section project : Building a pipeline -- Lagrange multipliers -- 14. Multiple integration. Iterated integrals and area in the plane -- Double integrals and volume -- Change of variables : polar coordinates -- Center of mass and moments of inertia -- Section project : center of pressure on a sail -- Surface area -- section project : capillary action -- Triple integrals and applications -- Triple integrals in cylindrical and spherical coordinates -- Section project : wrinkled and bumpy spheres -- Change of variables : Jacobians -- 15. Vector analysis. Vector fields -- Line integrals -- Conservative vector fields and independence of path -- Green's theorem -- Section project : hyperbolic and trigonometric functions -- Parametric surfaces -- Surface integrals -- Section project : hyperboloid of one sheet -- Divergence theorem -- Stoke's theorem. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Summary: This three-semester calculus textbook presents the principles and applications of calculus. Topics include: continuity and limits, differentiation and integration of algebraic and trigonometric functions, fundamental theorem of the calculus, applications of the derivative to curve sketching, rectilinear motion, maximum/minimum problems, and related rates, applications to the integral to problems of area, volume, arc length, and work. In addition to the beginning concepts of calculus this text also provides instruction in the differentiation and integration of transcendental functions, standard techniques of integration, curves in polar coordinates, and sequences and series, multivariable calculus, partial differentiation, two- and three dimensional vectors, Stokes and divergence theorems, and differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Calculus |
| Form subdivision |
Textbooks. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Transcendental functions |
| Form subdivision |
Textbooks. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Edwards, Bruce H., |
| Dates associated with a name |
1946- |
