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Vector Calculus (3rd Edition)

Name: Vector Calculus (3rd Edition)
Price: 112.69 USD
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Rating: 4.4 (24 reviews)

4.4 of 5 Stars: Mathematics - Vector Calculus (3rd Edition)

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Description

Book Synopsis: 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.

Details

Looking to master vector calculus? Look no further! The Vector Calculus (3rd Edition) book is the perfect resource for anyone with a good background in single-variable calculus. It uses the language and notation of vectors and matrices to clarify complex issues in multivariable calculus, making it accessible to both beginners and advanced learners. With clear and expansive exposition, accompanied by figures and exercises, you'll be able to grasp the concepts effortlessly.

One of the standout features of this book is the ample coverage of linear algebra topics, which sets it apart from other multivariable calculus books. You'll gain a deeper understanding of vectors in two and three dimensions, as well as delve into the dot product, cross product, equations for planes, and distance problems. The inclusion of n-dimensional geometry and new coordinate systems adds an extra layer of versatility to your learning.

Another highlight of this book is its comprehensive treatment of differentiation in several variables. From functions of several variables to the chain rule and directional derivatives, you'll develop a solid foundation in this critical aspect of calculus. The inclusion of vector-valued functions, including parametrized curves and Kepler's laws, adds real-world application and makes the learning experience even more engaging.

But it doesn't stop there! The Vector Calculus (3rd Edition) book also covers essential topics like maxima and minima in several variables, multiple integration, line integrals, and surface integrals. With insights into topics such as surface integrals, Green's theorem, and Maxwell's equations, you'll gain a deeper understanding of vector analysis and its applications to higher dimensions.

Don't miss out on the opportunity to supercharge your multivariable calculus skills. Whether you're a student or an instructor, the Vector Calculus (3rd Edition) book by Colley is a must-have resource. Get your copy today and unlock the power of vectors and matrices in your calculus journey!

Ready to take your calculus skills to the next level? Get your copy of the Vector Calculus (3rd Edition) book now!

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