MARC details
| 000 -LEADER |
|---|
| fixed length control field |
05508nam a22003017i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20180417174046.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
171228s2008 maua|||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780321526793 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
fue |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
22 |
| Classification number |
515.15 |
| Item number |
W.M.T |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Weir, Maurice D. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Thomas' calculus : |
| Remainder of title |
based on the original work by George B. Thomas / |
| Statement of responsibility, etc |
Maurice D. Weir, Joel Hass, Frank R. Giordano. |
| 246 30 - VARYING FORM OF TITLE |
|---|
| Title proper/short title |
Calculus |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
eleventh edition |
| 264 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Boston, Mass. ; |
| -- |
London : |
| Name of publisher, distributor, etc |
Pearson/Addison Wesley, |
| Date of publication, distribution, etc |
c 2008. |
| 264 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
c 2008. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvi, 1228 pages. |
| Other physical details |
illustrations. ; |
| Dimensions |
26 cm. |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier type term |
volume |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Includes index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
(Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.) Preliminaries Real Numbers and the Real LineLines, Circles, and ParabolasFunctions and Their GraphsIdentifying Functions; Mathematical ModelsCombining Functions; Shifting and Scaling GraphsTrigonometric FunctionsGraphing with Calculators and Computers 2. Limits and Derivatives Rates of Change and LimitsCalculating Limits Using the Limit LawsPrecise Definition of a LimitOne-Sided Limits and Limits at InfinityInfinite Limits and Vertical AsymptotesContinuityTangents and Derivatives 3. Differentiation The Derivative as a FunctionDifferentiation RulesThe Derivative as a Rate of ChangeDerivatives of Trigonometric FunctionsThe Chain Rule and Parametric EquationsImplicit DifferentiationRelated RatesLinearization and Differentials 4. Applications of Derivatives Extreme Values of FunctionsThe Mean Value TheoremMonotonic Functions and the First Derivative TestConcavity and Curve SketchingApplied Optimization ProblemsIndeterminate Forms and L'Hopital's RuleNewton's MethodAntiderivatives 5. Integration Estimating with Finite SumsSigma Notation and Limits of Finite SumsThe Definite IntegralThe Fundamental Theorem of CalculusIndefinite Integrals and the Substitution RuleSubstitution and Area Between Curves 6. Applications of Definite Integrals Volumes by Slicing and Rotation About an AxisVolumes by Cylindrical ShellsLengths of Plane CurvesMoments and Centers of MassAreas of Surfaces of Revolution and The Theorems of PappusWorkFluid Pressures and Forces 7. Transcendental Functions Inverse Functions and their DerivativesNatural LogarithmsThe Exponential Functionax and loga xExponential Growth and DecayRelative Rates of GrowthInverse Trigonometric FunctionsHyperbolic Functions 8. Techniques of Integration Basic Integration FormulasIntegration by PartsIntegration of Rational Functions by Partial FractionsTrigonometric IntegralsTrigonometric SubstitutionsIntegral Tables and Computer Algebra SystemsNumerical IntegrationImproper Integrals 9. Further Applications of Integration Slope Fields and Separable Differential EquationsFirst-Order Linear Differential EquationsEuler's MethodGraphical Solutions of Autonomous EquationsApplications of First-Order Differential Equations 10. Conic Sections and Polar Coordinates Conic Sections and Quadratic Equations Classifying Conic Sections by EccentricityQuadratic Equations and RotationsConics and Parametric Equations; The CycloidPolar Coordinates Graphing in Polar CoordinatesArea and Lengths in Polar CoordinatesConic Sections in Polar Coordinates 11. Infinite Sequences and Series SequencesInfinite SeriesThe Integral TestComparison TestsThe Ratio and Root TestsAlternating Series, Absolute and Conditional ConvergencePower SeriesTaylor and Maclaurin SeriesConvergence of Taylor Series; Error EstimatesApplications of Power SeriesFourier Series 12. Vectors and the Geometry of Space Three-Dimensional Coordinate SystemsVectorsThe Dot ProductThe Cross ProductLines and Planes in SpaceCylinders and Quadric Surfaces 13. Vector-Valued Functions and Motion in Space Vector FunctionsModeling Projectile MotionArc Length and the Unit Tangent Vector TCurvature and the Unit Normal Vector NTorsion and the Unit Binormal Vector BPlanetary Motion and Satellites 14. Partial Derivatives Functions of Several VariablesLimits and Continuity in Higher DimensionsPartial DerivativesThe Chain RuleDirectional Derivatives and Gradient VectorsTangent Planes and DifferentialsExtreme Values and Saddle PointsLagrange Multipliers*Partial Derivatives with Constrained VariablesTaylor's Formula for Two Variables 15. Multiple Integrals Double IntegralsAreas, Moments and Centers of Mass*Double Integrals in Polar FormTriple Integrals in Rectangular CoordinatesMasses and Moments in Three DimensionsTriple Integrals in Cylindrical and Spherical CoordinatesSubstitutions in Multiple Integrals 16. Integration in Vector Fields Line IntegralsVector Fields, Work, Circulation, and FluxPath Independence, Potential Functions, and Conservative FieldsGreen's Theorem in the PlaneSurface Area and Surface IntegralsParametrized SurfacesStokes' TheoremThe Divergence Theorem and a Unified Theory Appendices Mathematical InductionProofs of Limit TheoremsCommonly Occurring Limits Theory of the Real NumbersComplex NumbersThe Distributive Law for Vector Cross ProductsDeterminants and Cramer's RuleThe Mixed Derivative Theorem and the Increment TheoremThe Area of a Parallelogram's Projection on a Plane<br/> |
| 650 0# - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hass, Joel. |
| Relator term |
author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Giordano, Frank R. |
| Relator term |
author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Thomas, George B., |
| Dates associated with a name |
1914-2006. |
| Relator term |
author. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |