000			06788nam a2201141 i 4500
001			5263093
003			IEEE
005			20230927112344.0
006			m o d
007			cr |n|||||||||
008			151221s1993 nyua ob 001 eng d
020			_a9780470546550 _qelectronic
020			_z9780780310445 _qprint
020			_z0470546557 _qelectronic
024	7		_a10.1109/9780470546550 _2doi
035			_a(CaBNVSL)mat05263093
035			_a(IDAMS)0b000064810c322c
040			_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL
082	0	4	_a515
100	1		_aAsh, Carol, _d1935-
245	1	4	_aThe calculus tutoring book / _cCarol Ash, Robert B. Ash.
264		1	_aNew York : _bIEEE Press, _cc1986.
264		2	_a[Piscataqay, New Jersey] : _bIEEE Xplore, _c[1993]
300			_a1 PDF (x, 534 pages) : _billustrations.
336			_atext _2rdacontent
337			_aelectronic _2isbdmedia
338			_aonline resource _2rdacarrier
500			_aIncludes index.
500			_a"IEEE order number PC01776"--T.p. verso.
505	0		_aPreface. FUNCTIONS. Introduction. The Graph of a Function. The Trigonometric Functions. Inverse Functions and the Inverse Trigonometric Functions. Exponential and Logarithm Functions. Solving Inequalities Involving Elementary Functions. Graphs of Translations, Reflections, Expansions and Sums. Review of Problems for Chapter 1. LIMITS. Introduction. Finding Limits of Combinations of Functions. Indeterminate Limits. Review Problems for Chapter 2. THE DERIVATIVE PART I. Preview. Definition and Some Applications of the Derivative. Derivatives of the Basic Functions. Nondifferentiable Functions. Derivatives of Constant Multiples, Sums, Products and Quotients. The Derivative of a Composition. Implicit Differentiation and Logarithmic Differentiation. Antidifferentiation. Review Problems for Chapter 3. THE DERIVATIVE PART II. Relative Maxima and Minima. Absolute Maxima and Minima. L'Hopital's Rule and Orders of Magnitude. Indeterminate Products, Differences and Exponential Forms. Drawing Graphs of Functions. Related Rates. Newton's Method. Differentials. Separable Differential Equations. Review Problems for Chapter 4. THE INTEGRAL PART I. Preview. Definition and Some Applications of the Integral. The Fundamental Theorem of Calculus. Numerical Integration. Nonintegrable Functions. Improper Integals. Review Problems for Chapter 5. THE INTEGRAL PART II. Further Applications of the Integral. The Centroid of a Solid Hemisphere. Area and Arc Length. The Surface Area of a Cone and a Sphere. Integrals with a Variable Upper Limit. Review Problems for Chapter 6. ANTIDIFFERENTIATION. Introduction. Substitution. Pre-Table Algebra I. Pre-Table Algebra II: Partial Faction Decomposition. Integration by Parts. Recursion Formulas. Trigonometric Substitution. Choosing a Method. Combining Techniques of Antidifferentiation with the Fundamental Theorem. Review Problems for Chapter 7. SERIES. Introduction. Geometric Series. Convergence Tests for Positive Series I. Convergence Tests for Positive Series II. Alternating Series. Power Series Functions. Power Series Representations for Elementary Functions I. Power Series Representations for Elementary Functions II (Maclaurin Series). The Taylor Reminder Formula and an Estimate for the Number e. Power Series in Powers of x - b (Taylor Series). Review Problems for Chapter 8. VECTORS. Introduction. Vector Addition, Subtraction, Scalar Multiplication and Norms. The Dot Product. The Cross Product. The Scalar Triple Product. The Velocity Vector. The Acceleration Vector. Review Problems for Chapter 9. TOPICS IN THREE-DIMENSIONAL ANALYTIC GEOMETRY. Spheres. Planes. Lines. Cylindrical and Quadric Surfaces. Cylindrical and Spherical Coordinates. Review Problems for Chapter 10. PARTIAL DERIVATIVES. Graphs and Level Sets. Partial Derivatives. Chain Rules for First-Order Partial Derivatives. Chain Rules for Second-Order Partial Derivatives. Maxima and Minima. The Gradient. Differentials and Exact Differential Equations. Review Problems for Chapter 11. MULTIPLE INTEGRALS. Definition and Some Applications of the Double Integral. Computing Double Integrals. Double Integration in Polar Coordinates. Area and Volume. Further Applications of the Double Integral. Triple Integrals. Triple Integration in Spherical Coordinates. Center of Mass. Review Problems for Chapter 12. APPENDIX. A1: Distance and Slope. A2: Equations of Lines. A3: Circles, Ellipses, Hyperbolas and Parabolas. A4: The Binomial Theorem. A5: Determinants. A6: Polar Coordinates. Solutions to the Problems. Abbreviations Used in the Solutions. List of Symbols. Index. Authors' Biographies.
506	1		_aRestricted to subscribers or individual electronic text purchasers.
530			_aAlso available in print.
538			_aMode of access: World Wide Web
588			_aDescription based on PDF viewed 12/21/2015.
650		0	_aCalculus.
655		0	_aElectronic books.
695			_aAlgebra
695			_aApproximation error
695			_aApproximation methods
695			_aArgon
695			_aBiographies
695			_aBirds
695			_aBooks
695			_aCalculus
695			_aCities and towns
695			_aCompanies
695			_aComputational modeling
695			_aComputers
695			_aContext
695			_aConvergence
695			_aCoordinate measuring machines
695			_aData mining
695			_aDifferential equations
695			_aEarth
695			_aElectron tubes
695			_aEquations
695			_aFertilizers
695			_aFingers
695			_aFinite element methods
695			_aFires
695			_aFloors
695			_aFoot
695			_aForce
695			_aGames
695			_aGeometry
695			_aHumidity
695			_aIndexes
695			_aInspection
695			_aIntegral equations
695			_aLevel set
695			_aLibraries
695			_aLimiting
695			_aMaterials
695			_aMathematical model
695			_aPainting
695			_aProduction facilities
695			_aReflection
695			_aRegions
695			_aRoads
695			_aSea surface
695			_aSections
695			_aSlabs
695			_aSolids
695			_aSteady-state
695			_aStrips
695			_aSymbols
695			_aTerminology
695			_aTesting
695			_aTransient analysis
695			_aVisualization
695			_aWriting
700	1		_aAsh, Robert B.
710	2		_aJohn Wiley & Sons, _epublisher.
710	2		_aIEEE Xplore (Online service), _edistributor.
776	0	8	_iPrint version: _z9780780310445
856	4	2	_3Abstract with links to resource _uhttps://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=5263093
999			_c40081 _d40081