000 06352cam a2200373 a 4500
999 _c1604
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001 46240252
003 OCoLC
005 20170706121838.0
008 010206s2003 nyua 001 0 eng
010 _a2001017824
015 _aGBA145300
_2bnb
020 _a0471381578
020 _a9780471381570
020 _a047138156X
020 _a9780471381563
035 _a(OCoLC)46240252
_z(OCoLC)47726177
_z(OCoLC)48108861
_z(OCoLC)810773381
040 _aDLC
_beng
_cDLC
_dUKM
_dLVB
_dBAKER
_dBTCTA
_dYDXCP
_dOCLCG
_dDEBBG
_dOCLCQ
_dNMC
_dOCLCF
_dOCLCO
_dOCLCQ
082 _a515
100 1 _aAnton, Howard
245 1 0 _aCalculus
250 _a7th ed. /
_bHoward Anton, Irl Bivens, Stephen Davis
260 _aNew York :
_bWiley,
_c℗♭2003
300 _axxiv, 1166, 106, 2, 13 pages :
_bcolor illustrations ;
_c27 cm +
_e1 computer optical disc (4 3/4 in)
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
505 0 0 _tIntroduction: Calculus: A New Horizon from Ancient Roots --
_gChapter 1.
_tFunctions --
_g1.1.
_tFunctions and the Analysis of Graphical Information --
_g1.2.
_tProperties of Functions --
_g1.3.
_tGraphing Functions on Calculators and Computers; Computer Algebra Systems --
_g1.4.
_tNew Functions from Old --
_g1.5.
_tLines --
_g1.6.
_tFamilies of Functions --
_g1.7.
_tMathematical Models --
_g1.8.
_tParametric Equations --
_tHorizon Module: Iteration and Dynamical Systems --
_gChapter 2.
_tLimits and Continuity --
_g2.1.
_tLimits (An Intuitive Approach) --
_g2.2.
_tComputing Limits --
_g2.3.
_tComputing Limits: End Behavior --
_g2.4.
_tLimits (Discussed More Rigorously) --
_g2.5.
_tContinuity --
_g2.6.
_tLimits and Continuity of Trigonometric Functions --
_gChapter 3.
_tThe Derivative --
_g3.1.
_tSlopes and Rates of Change --
_g3.2.
_tThe Derivative --
_g3.3.
_tTechniques of Differentiation --
_g3.4.
_tDerivatives of Trigonometric Functions --
_g3.5.
_tThe Chain Rule --
_g3.6.
_tImplicit Differentiation --
_g3.7.
_tRelated Rates --
_g3.8.
_tLocal Linear Approximation; Differentials --
_tHorizon Module: Robotics --
_gChapter 4.
_tThe Derivative in Graphing and Applications --
_g4.1.
_tAnalysis of Functions I: Increase, Decrease, and Concavity --
_g4.2.
_tAnalysis of Functions II: Relative Extrema; First and Second Derivative Tests --
_g4.3.
_tAnalysis of Functions III: Applying Technology and the Tools of Calculus --
_g4.4.
_tRectilinear Motion (Motion Along a Line) --
_g4.5.
_tAbsolute Maxima and Minima --
_g4.6.
_tApplied Maximum and Minimum Problems --
_g4.7.
_tNewton's Method --
_g4.8.
_tRolle's Theorem; Mean-Value Theorem --
_gChapter 5.
_tIntegration --
_g5.1.
_tAn Overview of the Area Problem --
_g5.2.
_tThe Indefinite Integral; Integral Curves and Direction Fields --
_g5.3.
_tIntegration by Substitution --
_g5.4.
_tSigma Notation; Area as a Limit --
_g5.5.
_tThe Definite Integral --
_g5.6.
_tThe Fundamental Theorem of Calculus --
_g5.7.
_tRectilinear Motion Revisited; Average Value --
_g5.8.
_tEvaluating Definite Integrals by Substitution --
_tHorizon Module: Blammo the Human Cannonball --
_gChapter 6.
_tApplications of the Definite Integral in Geometry, Science, and Engineering --
_g6.1.
_tArea Between Two Curves --
_g6.2.
_tVolumes by Slicing; Disks and Washers --
_g6.3.
_tVolumes by Cylindrical Shells --
_g6.4.
_tLength of a Plane Curve --
_g6.5.
_tArea of a Surface of Revolution --
_g6.6.
_tWork --
_g6.7.
_tFluid Pressure and Force --
_gChapter 7.
_tExponential, Logarithmic, and Inverse Trigonometric Functions --
_g7.1.
_tInverse Functions --
_g7.2.
_tExponential and Logarithmic Functions --
_g7.3.
_tDerivatives and Integrals Involving Logarithmic and Exponential Functions --
_g7.4.
_tGraphs and Applications Involving Logarithmic and Exponential Functions --
_g7.5.
_tLogarithmic Functions from the Integral Point of View --
_g7.6.
_tDerivatives and Integrals Involving Inverse Trigonometric Functions --
_g7.7.
_tL'Hopital's Rule; Indeterminate Forms --
_g7.8.
_tHyperbolic Functions and Hanging Cables --
_gChapter 8.
_tPrinciples of Integral Evaluation --
_g8.1.
_tAn Overview of Integration Methods --
_g8.2.
_tIntegration by Parts --
_g8.3.
_tTrigonometric Integrals --
_g8.4.
_tTrigonometric Substitutions --
_g8.5.
_tIntegrating Rational Functions by Partial Fractions --
_g8.6.
_tUsing Tables of Integrals and Computer Algebra Systems --
_g8.7.
_tNumerical Integration; Simpson's Rule --
_g8.8.
_tImproper Integrals --
_tHorizon Module: Railroad Design --
_gChapter 9.
_tMathematical Modeling with Differential Equations --
_g9.1.
_tFirst-Order Differential Equations and Applications --
_g9.2.
_tDirection Fields; Euler's Method --
_g9.3.
_tModeling with First-Order Differential Equations --
_g9.4.
_tSecond-Order Linear Homogeneous Differential Equations; The Vibrating Spring --
_gChapter 10.
_tInfinite Series --
_g10.1.
_tMaclaurin and Taylor Polynomial Approximations --
_g10.2.
_tSequences --
_g10.3.
_tMonotone Sequences --
_g10.4.
_tInfinite Series --
_g10.5.
_tConvergence Tests --
_g10.6.
_tThe Comparison, Ratio, and Root Tests --
_g10.7.
_tAlternating Series; Conditional Convergence --
_g10.8.
_tMaclaurin and Taylor Series; Power Series --
_g10.9.
_tConvergence of Taylor Series; Computational Methods --
_g10.10.
_tDifferentiating and Integrating Power Series; Modeling with Taylor Series --
_gChapter 11.
_tAnalytic Geometry in Calculus --
_g11.1.
_tPolar Coordinates --
_g11.2.
_tTangent Lines and Arc Length for Parametric and Polar Curves --
_g11.3.
_tArea in Polar Coordinates --
_g11.4.
_tConic Sections in Calculus --
_g11.5.
_tRotation of Axes; Second-Degree Equations --
_g11.6.
_tConic Sections in Polar Coordinates --
_tHorizon Module: Comet Collision --
_gAppendix A.
_tReal Numbers, Intervals, and Inequalities --
_gAppendix B.
_tAbsolute Value --
_gAppendix C.
_tCoordinate Planes and Lines --
_gAppendix D.
_tDistance, Circles, and Quadratic Equations --
_gAppendix E.
_tTrigonometry Review --
_gAppendix F.
_tSolving Polynomial Equations --
_gAppendix G.
_tSelected Proofs
520 _a"Counter New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers. More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators. More problems using tabular data and more emphasis on mathematical modeling. " -- Publisher's description
650 0 _aCalculus
700 1 _aBivens, Irl
700 1 _aDavis, Stephen,
_d1952-
942 _2ddc
_cBK