|
|
libcats.org
A Brief on Tensor AnalysisJames G. SimmondsThis new edition is intended for third and fourth year undergraduates in Engineering, Physics, Mathematics, and the Applied Sciences, and can serve as a springboard for further work in Continuum Mechanics or General Relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics. The mathematics of tensor analysis is introduced in well-separated stages: the concept of a tensor as an operator; the representation of a tensor in terms of its Cartesian components; the components of a tensor relative to a general basis, tensor notation, and finally, tensor calculus. The physical interpretation and application of vectors and tensors are stressed throughout. Though concise, the text is written in an informal, non-intimidating style enhanced by worked-out problems and a meaningful variety of exercises. The new edition includes more exercises, especially at the end of chapter IV. Furthermore, the author has appended a section on Differential Geometry, the essential mathematical tool in the study of the 2-dimensional structural shells and 4-dimensional general relativity.
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Только что пользователи скачали эти книги:
The J2EE Tutorial Second EditionАвтор: Stephanie Bodoff, Автор: Eric Armstrong, Автор: Jennifer Ball, Автор: Debbie Carson, Автор: Ian Evans, Автор: Dale Green, Автор: Kim Haase, Автор: Eric Jendrock
Размер книги: 6.50 Mb
HEINKEL HE 60 (Perfiles Aeronauticos: La Maquina y la Historia)Автор: Lucas Molina Franco, Автор: Luis Fresno Crespo
Размер книги: 31.83 Mb
Intersection Spaces, Spatial Homology Truncation, and String TheoryАвтор: Markus Banagl
Размер книги: 1.19 Mb
Basic Probability Theory (Dover Books on Mathematics)Автор: Robert B. AshКатегория: Математика
Размер книги: 20.68 Mb
|
|
|