Vector Calculus(1st Edition)
Authors:
Susan J Colley
In Stock: 1 Left
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$0
Solution Manual Includes
Price:
$9.99
Book details
ISBN: 0131858742, 978-0131858749
Book publisher: Pearson
Book Price $0 : This 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 Colley’s 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; Newton’s 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.
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