| 书目名称 | Variational Calculus | | 编辑 | Jean-Pierre Bourguignon | | 视频video | | | 概述 | Gives a unique integrated presentation of algebraic, analytic and geometric tools.Provides a progressive introduction of concepts.Includes a wide variety of exercises and historical comments | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subject’s odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.. | | 出版日期 | Textbook 2022 | | 关键词 | Differential Calculus; Calculus of Variations; Manifolds; Euler-Lagrange equations; Hamiltonian systems; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-18307-2 | | isbn_softcover | 978-3-031-18309-6 | | isbn_ebook | 978-3-031-18307-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:11:20
