المصدر: A Brief on Tensor Analysis في منتدى : قسم الفيزياء A Brief on Tensor Analysis Undergraduate Texts in Mathematics المؤلف: James G. Simmonds الناشر: Springer; edition 2nd تاريخ النشر: 1993-11-19 عدد الصفحات: 132 امتداد الملف: DjVu اللغة: الإنجليزية ردمك-10: 038794088X ردمك-13: 9780387940885 وصف الكتاب This 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. or
