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| Author: | ن.بيسكونوف |
| Category: | Calculus [Edit] |
| Language: | Arabic |
| Publisher: | دار مير للطباعة والنشر |
| Release Date: | 01 Jan 1975 |
| Pages: | 1669 |
| Rank: | 50,026 No 1 most popular |
| Short link: | Copy |
| More books like this book | |
يدور الكتاب بجزئيه حول التفاضل والتكامل في علم الرياضيات. يستعرض المؤلف من خلاله النظريات والتعاريف، والمعادلات المتعلقة بالتفاضل والتكامل ملحقاً ذلك بالتمارين الخاصة بكل باب. وقد جاء الكتابان ضمن إحدى وعشرين باباً كانت على التوالي: 1-العدد. المتغير. الدالة. 2-النهاية. 3-اتصال الدوال. 3-المشتقة والتفاضل. 4-بعض النظريات حول الدوال القابلة للمفاضلة. 5-دراسة مسلك الدوال (دراسة منحنيات الدوال). 6-تقويس المحنى. 7-الأعداد المركبة. كثيرات الحدود. 8-الدوال المتعددة المتغيرات. 9-تطبيقات حساب التفاضل على الهندسة في الفراغ. 10-التكامل غير المحدود، التكامل غير المعين. 11-التكامل المحدود (التكامل المعين). 12-التطبيقات الهندسية والميكانيكية على التكامل المحدود.
كهذه أبواب الكتاب الأول. وتتابع تعداد أبواب الكتاب الثاني فكانت على التوالي: 13-المعادلات التفاضيلية، 14-التكاملات المضاعفة. 15-التكاملات المنحنية والتكاملات السطحية، 16-المتسلسلات، 17-متسلسلات فورييه، 18-معادلات الفيزياء الرياضية، 19-حساب العمليات وبعض تطبيقاته، 20-مبادئ نظرية الاحتمالات والإحصاء الرياضي، 21-المصفوفات. كتابه مجموعات وحلول مجموعات المعادلات التفاضلية الخطية بالمصفوفات.
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