000 a
999 _c31842
_d31842
008 230420b xxu||||| |||| 00| 0 eng d
020 _a9781584884880
082 _a510
_bJEF
100 _aJeffrey, Alan
245 _aMathematics for engineers and scientists
250 _a6th ed.
260 _bCRC Press,
_c2005
_aBoca Raton :
300 _axvi, 994 p.;
_bill., (charts),
_c24 cm
365 _b995.00
_cINR
_d01
504 _aIncludes bibliographical references and index.
520 _aNUMBERS, TRIGONOMETRIC FUNCTIONS AND COORDINATE GEOMETRYSets and numbersIntegers, rationals and arithmetic laws Absolute value of a real numberMathematical inductionReview of trigonometric propertiesCartesian geometryPolar coordinatesCompleting the squareLogarithmic functionsGreek symbols used in mathematicsVARIABLES, FUNCTIONS AND MAPPINGSVariables and functionsInverse functionsSome special functionsCurves and parametersFunctions of several real variablesSEQUENCES, LIMITS AND CONTINUITYSequencesLimits of sequencesThe number eLimits of functions -/ continuityFunctions of several variables -/ limits, continuityA useful connecting theoremAsymptotesCOMPLEX NUMBERS AND VECTORSIntroductory ideasBasic algebraic rules for complex numbersComplex numbers as vectorsModulus -/ argument form of complex numbersRoots of complex numbersIntroduction to space vectorsScalar and vector productsGeometrical applicationsApplications to mechanicsProblemsDIFFERENTIATION OF FUNCTIONS OF ONE OR MORE REAL VARIABLESThe derivativeRules of differentiationSome important consequences of differentiabilityHigher derivatives _/ applicationsPartial differentiationTotal differentialsEnvelopesThe chain rule and its consequencesChange of variableSome applications of dy/dx=1/ dx/dyHigher-order partial derivativesEXPONENTIAL, LOGARITHMIC AND HYPERBOLIC FUNCTIONS AND AN INTRODUCTION TO COMPLEX FUNCTIONSThe exponential functionDifferentiation of functions involving the exponential functionThe logarithmic functionHyperbolic functionsExponential function with a complex argumentFunctions of a complex variable, limits, continuity and differentiabilityFUNDAMENTALS OF INTEGRATIONDefinite integrals and areasIntegration of arbitrary continuous functionsIntegral inequalitiesThe definite integral as a function of its upper limit -/ the indefinite integralDifferentiation of an integral containing a.
650 _aEngineering mathematics
650 _aMathematical analysis
650 _aAntiderivative
650 _a Chain rule
650 _a Complex number
650 _a Convergence tests
650 _aDefinite integral
650 _aDifferentiable function
650 _a Exponentiable function
650 _aFourier's theorem
650 _aGauss-Seidel method
650 _aHeaviside step function
650 _aIndeterminate form
650 _aLaplacian
650 _aMean value theorem
650 _aPolar coordinates
650 _aOdd function
650 _aReal number
650 _aStationary point
650 _a Trigonometric function
650 _aUnit vector
650 _aVelocity
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