Год выпуска: 2013 Автор: Werner Benger Издательство: LAP Lambert Academic Publishing Страниц: 348 ISBN: 9783659287060
Описание
The mathematical notation of tensor fields occurs in many applications, ranging from astrophysics via fluid simulations to medical imaging. While this mathematical abstraction is often considered to be too obscure to be understood easily, this thesis seeks to provide intuitive, visual representations of these objects. Tensors emerge from the mathematical branch of differential geometry, the natural formalism of General Relativity. This framework therefore provides a thorough mathematical foundation that universally applies to other application domains as well. Even more, the requirements to formulate the needs of general relativity in a computational environment naturally leads to an organization model for numerical data. Inspired by the mathematical notion of fiber bundles, this thesis presents a scheme to classify and organize many diverse types of data under the same common hood, leading to highly reusable software components and a powerful systematic approach for scientific...
С наступившими и грядущими праздниками Вас! Работа после вашего сопровождения принята преподавателем "как есть", мне даже пришлось буквально на месте ваять титульный лист. О недочётах она лишь сказала, что "...они есть" - и не более того. Благодаря Вам мне даже не пришлось сдавать экзамен по этому предмету. Спасибо большое!