{"product_id":"vector-calculus-3rd-edition-by-colley-susan-j","title":"Vector Calculus (3rd Edition) by Colley, Susan J.","description":"\n        \u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0131858742\u003c\/p\u003e\n        \u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Colley, Susan J.\u003c\/p\u003e\n        \u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e new\u003c\/p\u003e\n        \u003cp\u003eThis text uses the language and notation of vectors and matrices to clarify issues in multivariable calculus. Accessible to anyone with a good background in single-variable calculus, it presents more linear algebra than usually found in a multivariable calculus book. Colley balances this with very clear and expansive exposition, many figures, and numerous, wide-ranging exercises. Instructors will appreciate Colleys writing style, mathematical precision, level of rigor, and full selection of topics treated.Vectors: Vectors in Two and Three Dimensions. More About Vectors. The Dot Product. The Cross Product. Equations for Planes; Distance Problems. Some n-Dimensional Geometry. New Coordinate Systems. Differentiation in Several Variables: Functions of Several Variables; Graphing Surfaces. Limits. The Derivative. Properties; Higher-Order Partial Derivatives; Newtons Method. The Chain Rule. Directional Derivatives and the Gradient. Vector-Valued Functions: Parametrized Curves and Kepler's Laws. Arclength and Differential Geometry. Vector Fields: An Introduction. Gradient, Divergence, Curl, and the Del Operator. Maxima and Minima in Several Variables: Differentials and Taylor's Theorem. Extrema of Functions. Lagrange Multipliers. Some Applications of Extrema. Multiple Integration: Introduction: Areas and Volumes. Double Integrals. Changing the Order of Integration. Triple Integrals. Change of Variables. Applications of Integration. Line Integrals: Scalar and Vector Line Integrals. Green's Theorem. Conservative Vector Fields. Surface Integrals and Vector Analysis: Parametrized Surfaces. Surface Integrals. Stokes's and Gauss's Theorems. Further Vector Analysis; Maxwell's Equations. Vector Analysis in Higher Dimensions: An Introduction to Differential Forms. Manifolds and Integrals of k-forms. The Generalized Stokes's Theorem.For all readers interested in multivariable calculus.\u003c\/p\u003e\n        \u003cul\u003e\u003cli\u003e\u003c\/ul\u003e\n        ","brand":"Miakarts Books","offers":[{"title":"Default Title","offer_id":49678776828144,"sku":"NEW0131858742","price":425.14,"currency_code":"USD","in_stock":false}],"url":"https:\/\/ethereallybeautiful.com\/products\/vector-calculus-3rd-edition-by-colley-susan-j","provider":"Ethereally Beautiful","version":"1.0","type":"link"}