Vector Calculus (Featured Titles for Vector Calculus)
by Thomas Barr
This comprehensive vector calculus text combines theory, applications, and visualization with practical technology-based learning. It covers three-dimensional geometry, linear algebra, parameterization, multiple integrals, constrained optimization, and Lagrange multipliers, supported by extensive exercises, examples, laboratory activities, writing practice, computer graphics, and symbolic algebra projects.
About This Book
Vector Calculus presents a broad treatment of vector calculus with an emphasis on conceptual understanding, visualization, and applications.
The text introduces geometry in three-dimensional space, cylindrical and spherical coordinates, matrix notation, and foundational linear algebra as tools for developing later topics.
Coverage includes parameterization, double and triple integrals, constrained optimization with Lagrange multipliers, and second derivative tests for constrained local extrema.
More than 200 exercises, numerous examples, laboratory and writing activities, and technology-oriented projects invite students to use computer graphics and symbolic algebra while investigating mathematical problems.
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