Introduction to Vectors and Tensors: Linear and Multilinear Algebra (1) - Brossura

Bowen, Ray M.; Wang, C. C.

Brossura

ISBN 10: 048646914X ISBN 13: 9780486469140

Casa editrice: Dover Pubns, 2009

Riassunto

This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications, building upon the systematic development of concepts rather than emphasizing mathematical problem-solving techniques. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students.
Volume I begins with a brief discussion of algebraic structures followed by detailed explorations of the algebra of vectors and tensors, in addition to aspects of linear and multi-linear algebra. Topics include vector spaces, linear transformations, determinants and matrices, spectral decompositions, and tensor and exterior algebra. Volume II opens with a discussion of Euclidean manifolds and proceeds to the development of analytical and geometrical aspects of vector and tensor fields. Subsequent chapters survey the integration of fields on Euclidean manifolds, hypersurfaces, and continuous groups.

Su questo libro

L'autore:

Ray M. Bowen earned his Ph.D. in mechanical engineering from Texas A&M University and later served as president there. He is currently president emeritus with a faculty appointment in mechanical engineering.

Contenuti:

Vol. 1: Linear and Multilinear Algebra Elementary Matrix Theory Sets, Relations, and Functions Groups, Rings and Fields Vector Spaces Linear Transformations Determinants and Matrices Spectral Decompositions Tensor Algebra Exterior Algebra Vol. 2: Vector and Tensor Analysis Euclidean Manifolds Vector Fields and Differential Forms Hypersurfaces in a Euclidean Manifold Elements of Classical Continuous Groups Integration of Fields on Euclidean Manifolds, Hypersurfaces, and Continuous Groups Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2009
• ISBN 10: 048646914X
• ISBN 13: 9780486469140
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 520