Introduction to Vectors and Tensors: Linear and Multilinear Algebra: 1 (Dover Books on Mathematics)

Book Details

• Author: C-C Wang

• Publisher: HarperCollins

• Edition: 2

• Binding: Paperback

• Number of Pages: 520

• Release Date: 31-01-2009

• Language: English

• ISBN: 9780486469140

• Package Dimensions: 9.1 x 6.5 x 1.2 inches

About The Book
C-C Wang's Vector and Tensor Analysis (2nd Edition) is a two-volume compilation designed specifically for engineering and science students. The book offers both an introductory overview and an in-depth survey of vector and tensor analysis, with an emphasis on their practical applications in physics and engineering, rather than focusing on mathematical problem-solving techniques.

Volume I introduces key concepts in algebraic structures, the algebra of vectors and tensors, and foundational topics in linear and multi-linear algebra. It covers vector spaces, linear transformations, determinants and matrices, spectral decompositions, and tensor and exterior algebra, laying the groundwork for a deeper understanding of advanced topics.

Volume II builds on this foundation with a discussion of Euclidean manifolds, leading into an exploration of the analytical and geometrical aspects of vector and tensor fields. The second volume also includes a survey of the integration of fields on Euclidean manifolds, hypersurfaces, and continuous groups, offering a thorough understanding of these essential concepts in engineering and physics.

Geared towards advanced undergraduate and graduate students, this textbook serves as a practical reference for professionals, providing clear explanations of complex ideas without the rigor typical of mathematical texts.