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 | ||
942 |
_2ddc _cBK |