书目名称 | Hamiltonian Structures and Generating Families |
编辑 | Sergio Benenti |
视频video | http://file.papertrans.cn/421/420640/420640.mp4 |
概述 | Enhanced version of Russian first edition.Focuses on Hamiltonian mechanics, as well as the application of modern mathematical methods of symplectic geometry and topology in geometrical optics, thermos |
丛书名称 | Universitext |
图书封面 |  |
描述 | .This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way..From the reviews of the Russian edition:."The main accent is shifted to the application . . . in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. . . . To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. . . . The book can rise real interest for specialists . . . . The . . . book is a significant input in the modern symplectic geometry and its applications.".(Andrey Tsiganov, St. Petersburg State University). |
出版日期 | Textbook 2011 |
关键词 | Control of static mechanical systems; Control of thermostatic systems; Geometrical optics; Hamilton-Jac |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-1499-5 |
isbn_softcover | 978-1-4614-1498-8 |
isbn_ebook | 978-1-4614-1499-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer Science+Business Media, LLC 2011 |