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| Author: | Emil Shukr Allah |
| Category: | Social Processes [Edit] |
| Language: | Arabic |
| Publisher: | دار النشر للجامعات، خاص -إميل صبحي سعد الله شكر السلسلة: مبادئ علم الميكانيكا |
| ISBN: | 9773161481 |
| Release Date: | 01 Jan 2007 |
| Pages: | 472 |
| Rank: | 164,743 No 1 most popular |
| Short link: | Copy |
| More books like this book | |
إن معظم الظواهر الفيزيقية والهندسية في الحياة يمكن وصفها -رياضياً- في واحدة من ثلاث معادلات. إما في معادلة تفاضلية (Differential Equation) عادية أو جزئية، وإما في معادلة تكاملية (Integro- Differential Equation) .
وهذا الكتاب يخوض في فضاء المعادلات التفاضلية العادية. فيقدم النظرية التي تبحث في طبيعة الحل وشكله الرياضي في حالة وجوده. كما يقدم الطرق المختلفة للحصول على الحلول العامة والخاصة. هذا، ويتميز هذا الكتاب بتقديم ثلاثة أنواع من الحلول هي الحلول التحليلية، والحلول التقريبية، والحلول العددية. كما يقدم الكتاب دراسة موضوع تحويلات لابلاس (Laplace Transforms)، وتحويلات لا بلاس العكسية وتطبيقاتهم في حل المعادلات التفاضلية وعلى الأخص تلك التي تكون فيها دوال الهدف دوالاً متقطعة. كما يتميز الكتاب بأسلوب عرض سهل وشامل في تتابع علمي يمكن من الكشف عن المفاهيم الهامة في هذا الموضوع. علاوة على ذلك فالكتاب يحتوي على عدد كبير من الأمثلة المحلولة بالإضافة إلى حلول تفصيلية للمسائل ذات الأرقام الفردية. هذا، ويستفيد من هذا الكتاب طلاب كليات الهندسة، والعلوم، والحاسبات، وكل المهتمين بالموضوع.
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