Vector Analysis and Cartesian Tensors

D.E. Bourne

ISBN 10: 0412427508 / ISBN 13: 9780412427503

Edité par Chapman and Hall/CRC, 1992

Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.8. N° de réf. du vendeur G0412427508I3N10

Synopsis :

This is a comprehensive self-contained text suitable for use by undergraduate maths and science students following courses in vector analysis. It begins at an introductory level, treating vectors in terms of Cartesian components instead of using directed line segments as is often done. This novel approach simplifies the development of the basic algebraic rules of composition of vectors and the definitions of gradient, divergences and curl. The treatment avoids sophisticated definitions involving limits of integrals and is used to sustain rigorous accounts of the integral theorems of Gauss, Stokes and Green. The transition to tensor analysis is eased by the earlier approach to vectors and coverage of tensor analysis and calculus is given. A full chapter is devoted to vector applications in potential theory, including Poisson's equation and Helmholtz's theorem. For this edition, new material on the method of steepest decent has been added to give a more complete treatment, and various changes have been made in the notations used. The number and scope of worked examples and problems, complete with solutions, has been increased and the book has been redesigned to enhance the accessibility of material.

Présentation de l'éditeur: This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.

Détails bibliographiques

Titre : Vector Analysis and Cartesian Tensors
Éditeur : Chapman and Hall/CRC
Date d'édition : 1992
Reliure : Paperback
Etat : Good
Etat de la jaquette : No Jacket