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    <subfield code="a">McCallum, William G.</subfield>
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    <subfield code="a">Exploring multivariable calculus with maple to accompany multivariable calculus. /</subfield>
    <subfield code="c">William G.McCallum, C.K Cheung.</subfield>
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    <subfield code="a">Preliminary edition.</subfield>
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    <subfield code="a">New York: </subfield>
    <subfield code="b">John Wiley &amp; Sons,</subfield>
    <subfield code="c">1996.</subfield>
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    <subfield code="a">Includes index.</subfield>
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    <subfield code="a">Contents: Introduction -- Plotting -- Three dimensional space -- Graphs of functions of three variables and level surfaces -- Vectors -- Partial derivatives -- Local linearity and the differential -- Directional derivatives and gradient vectors -- Second order partial derivatives and quadratic approximations -- Maxima, minima and saddle points -- Lagrange multipliers -- Double integral -- Triple integral -- Numerical integration: the monte carlo method -- Double integrals in polar coordinates -- Integration in cylindrical and spherical coordinates -- Change of variables in a double or triple integral -- Parametric curves and velocity vectors -- Parametric surfaces -- Vector fields and flow -- Line integrals -- Conservative vector fields and green's theorem -- Flux integrals -- The Divergence and the divergence theorem -- The Curl and stokes' theorem.</subfield>
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