| 书目名称 | Mathematical Analysis | | 副标题 | Linear and Metric St | | 编辑 | Mariano Giaquinta,Giuseppe Modica | | 视频video | | | 概述 | Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level.Includes applications to geometry and differential equati | | 图书封面 |  | | 描述 | One of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system. We have already discussed real functions of one real variable and a few examples of functions of several variables but there are many more examples of functions that the real world, physics, natural and social sciences, and mathematics have to offer: (a) not only do we associate numbers and points to points, but we as- ciate numbers or vectors to vectors, (b) in the calculus of variations and in mechanics one associates an - ergy or action to each curve y(t) connecting two points (a, y(a)) and (b,y(b)): b Lea ~(y) - / 9 F(t, y(t), y‘ (t))dt t. J a in terms of the so-called Lagrangian F(t, y, p), (c) in the theory of integral equations one maps a function into a new function b /1, d-r / o. J a by means of a kernel K(s, T), (d) in the theory of differential equations one considers transformations of a function x(t) into the new function t t f f( a where f(s, y) is given. 1 in M. Giaquinta, G. Modica, Mathematical Analysis. Functions of One Va- able, Birkh~user, Boston, 2003, which we sha | | 出版日期 | Textbook 2007 | | 关键词 | calculus; compactness; differential equation; self-adjoint operators; spectral theorem; topology of metri | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4514-4 | | isbn_softcover | 978-0-8176-4375-1 | | isbn_ebook | 978-0-8176-4514-4 | | copyright | Birkhäuser Boston 2007 |
The information of publication is updating
|
|
发表于 2025-3-21 16:22:50
