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Browsing by Author "Ahmed Ibrahim Golobawi"

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    Applied optimization
    (Neelain University, 2012) Ahmed Ibrahim Golobawi
    This manuscript provides a brief introduction to optimization problems. Optimization is essential in the studies of economy, engineering and other aspects of life. It covers basic calculus concepts to determine extrema of functions of single and several variables. Basic axioms of inner product spaces, metric, normed and topological spaces are discussed. Convex and concave functions equipped by examples and applications are given. Calculus of variation is discussed. Hamiltonian‘s ordinary difierential equations re discussed to enable us to solve optimization problem considering functionals
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    Applied optimization
    (Al-Neelain University, 2012) Ahmed Ibrahim Golobawi
    ملخص هذا البحث يقدم مقدمة مبسطة لمسائل الأمثلية. الأمثلية هي طريقة ذات أهمية في الدراسات الاقتصادية والهندسية وجوانب أخرى مهمة في الحياة.حيث يغطي البحث مفاهيم النهايات العظمى للدوال ذات المتغير الواحد والمتعددة المتغيرات، كما يقوم البحث مسائل الأمثلية من خلال بديهيات الفضاء المتري والنظيم والطبولوجيا الخطية وفضاء الضرب الداخلي. الدوال المحدبة والمقعرة نوقشت من خلال أمثلة متنوعة. كما ناقش البحث حساب التغاير ومعادلات هاملتون التفاضلية ليمكننا ذلك من حل مسألة الأمثلية التي تخص الداليات. Abstract This manuscript provides a brief introduction to optimization problems. Optimization is essential in the studies of economy, engineering and other aspects of life. It covers basic calculus concepts to determine extrema of functions of single and several variables. Basic axioms of inner product spaces, metric, normed and topological spaces are discussed. Convex and concave functions equipped by examples and applications are given. Calculus of variation is discussed. Hamiltonian's ordinary differential equations re discussed to enable us to solve optimization problem considering functionals.

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