CALCULUS MULTIVARIABLE 6TH EDITION

by William G. McCallum, Deborah Hughes-Hallett, Anattracted M. Gleachild, David O. Lomen, David LovelockWilliam G. McCallum

You watching: Calculus multivariable 6th edition

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Calculus: Multivariable, 6th Edition continues the initiative to promote courses in which knowledge and also computation reinforce each other. The sixth Edition reflects the many type of voices of customers at research study colleges, four-year colleges, neighborhood colleges, and second schools. This brand-new edition has actually been systematized to develop a functional strategy to both concept and modeling. For instructors wishing to emphadimension the link between calculus and also other fields, the text includes a variety of problems and also examples from the physical, wellness, and also organic scientific researches, design and business economics. In addition, new troubles on the mathematics of sustaincapability and brand-new instance research studies on calculus in medication by David E. Sloane, MD have actually been included. WileyPLUS offered independently from message.
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12 FUNCTIONS OF SEVERAL VARIABLES 12.1 FUNCTIONS OF TWO VARIABLES12.2 GRAPHS AND SURFACES12.3 CONTOUR DIAGRAMS12.4 LINEAR FUNCTIONS12.5 FUNCTIONS OF THREE VARIABLES12.6 LIMITS AND CONTINUITYREVIEW PROBLEMSPROJECTS13 A FUNDAMENTAL TOOL: VECTORS 13.1 DISPLACEMENT VECTORS13.2 VECTORS IN GENERAL13.3 THE DOT PRODUCT13.4 THE CROSS PRODUCTREVIEW PROBLEMSPROJECTS14 DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES 14.1 THE PARTIAL DERIVATIVE14.2 COMPUTING PARTIAL DERIVATIVES ALGEBRAICALLY14.3 LOCAL LINEARITY AND THE DIFFERENTIAL14.4 GRADIENTS AND DIRECTIONAL DERIVATIVES IN THE PLANE14.5 GRADIENTS AND DIRECTIONAL DERIVATIVES IN SPACE14.6 THE CHAIN RULE14.7 SECOND-ORDER PARTIAL DERIVATIVES14.8 DIFFERENTIABILITYREVIEW PROBLEMSPROJECTS15 OPTIMIZATION: LOCAL AND GLOBAL EXTREMA15.1 CRITICAL POINTS: LOCAL EXTREMA AND SADDLE POINTS15.2 OPTIMIZATION15.3 CONSTRAINED OPTIMIZATION: LAGRANGE MULTIPLIERSREVIEW PROBLEMSPROJECTS16 INTEGRATING FUNCTIONS OF SEVERAL VARIABLES 16.1 THE DEFINITE INTEGRAL OF A FUNCTION OF TWO VARIABLES16.2 ITERATED INTEGRALS16.3 TRIPLE INTEGRALS16.4 DOUBLE INTEGRALS IN POLAR COORDINATES16.5 INTEGRALS IN CYLINDRICAL AND SPHERICAL COORDINATES16.6 APPLICATIONS OF INTEGRATION TO PROBABILITYREVIEW PROBLEMSPROJECTS17 PARAMETERIZATION AND VECTOR FIELDS17.1 PARAMETERIZED CURVES17.2 MOTION, VELOCITY, AND ACCELERATION17.3 VECTOR FIELDS17.4 THE FLOW OF A VECTOR FIELDREVIEW PROBLEMSPROJECTS18 LINE INTEGRALS 18.1 THE IDEA OF A LINE INTEGRAL18.2 COMPUTING LINE INTEGRALS OVER PARAMETERIZED CURVES18.3 GRADIENT FIELDS AND PATH-INDEPENDENT FIELDS18.4 PATH-DEPENDENT VECTOR FIELDS AND GREEN’S THEOREMREVIEW PROBLEMSPROJECTS19 FLUX INTEGRALS AND DIVERGENCE 19.1 THE IDEA OF A FLUX INTEGRAL19.2 FLUX INTEGRALS FOR GRAPHS, CYLINDERS, AND SPHERES19.3 THE DIVERGENCE OF A VECTOR FIELD19.4 THE DIVERGENCE THEOREMREVIEW PROBLEMSPROJECTS20 THE CURL AND STOKES’ THEOREM20.1 THE CURL OF A VECTOR FIELD20.2 STOKES’ THEOREM20.3 THE THREE FUNDAMENTAL THEOREMSREVIEW PROBLEMSPROJECTS21 PARAMETERS, COORDINATES, AND INTEGRALS 21.1 COORDINATES AND PARAMETERIZED SURFACES21.2 CHANGE OF COORDINATES IN A MULTIPLE INTEGRAL21.3 FLUX INTEGRALS OVER PARAMETERIZED SURFACESREVIEW PROBLEMSPROJECTSAPPENDIX A ROOTS, ACCURACY, AND BOUNDSB COMPLEX NUMBERSC NEWTON’S METHODD VECTORS IN THE PLANEE DETERMINANTSREADY REFERENCE ANSWERS TO ODD-NUMBERED PROBLEMS INDEX