منابع مشابه
Introduction to the Calculus of Variations
This is a self-contained paper which introduces a fundamental problem in the calculus of variations, the problem of finding extreme values of functionals. The reader should have a solid background in onevariable calculus.
متن کاملA Brief Introduction to Calculus of Variations
To find a stationary point (i.e., a local maximum or minimum) the derivative ḟ(x) needs to vanish. In higher dimensions, the gradient ∇f needs to be identical to zero. The latter may also be expressed as fu = 0 ∀u. In a sense these simple derivatives are the most basic form of the calculus of variations. Usually, however, one talks about calculus of variations in the context of determining func...
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پایان نامه ی ارائه شده ترجمه ی کتاب «an introduction to the history of mysticism» نوشته ی مارگارت اسمیت که وی پژوهشگر، خاورشناس و محقق برجسته ی تصوف و عرفان می باشد. موضوع اساسی و مهم این کتاب عرفان در ادیان مختلف است. نویسنده در ابتدا این کلمه را ریشه یابی کرده و سپس تعریفی از آن ارائه داده و آن را در ادیان مختلف مورد بحث قرار داده است و در هر فصل کتاب به معرفی عرفای آن دین یا عصر خاصی پرداخته...
15 صفحه اولCalculus of Variations to Optimal Control: A short Introduction
Optimal control problems in some sense can be viewed as dynamic optimization and hence it is considered as a generalization of the classical calculus of variations (CV). The subject CV is a pretty old subject (250 years or so) and it is motivated by well known problems from science and engineering. Some of the fundamental example are: Brachistochrone problem due to Johann Bernoulli in the late ...
متن کاملThe Calculus of Variations
The lectures focused on the Calculus of Variations. As part of optimization theory, the Calculus of Variations originated in 1696 when Johann Bernoulli posed the brachistochrone problem. This problem related to the curve between two points along which a ball would require minimal time of travel to reach the bottom. This problem was solved by many different mathematicians of the time, some of wh...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 1993
ISSN: 0307-904X
DOI: 10.1016/0307-904x(93)90134-3