This classic textbook, part of the Prentice-Hall Series in Automatic Computation, provides a rigorous foundation for the numerical analysis of ordinary differential equations (ODEs). It is particularly well-known for its systematic treatment of multi-step methods and its groundbreaking approach to "stiff" differential equations—problems where solutions vary on significantly different time sca…
يتناول الكتاب شعر الحلفاء في العصرين الراشدي والأموي، مع تحليل سياقه التاريخي والاجتماعي، ودراسة الخصائص الفنية والموضوعية لهذا اللون من الشعر.
This monograph explores the deep connections between algebraic number theory and group theory, specifically focusing on the structure of Galois groups and their central extensions. Fröhlich investigates how these extensions relate to the ideal class groups of algebraic number fields, providing a systematic treatment of the "genus field" and "central class field" concepts. It is a specialized r…
الكتاب لا يقتصر على سرد أسماء المعاجم، بل يقدم شروحًا وتعليقات نقدية حول كل عمل، مما يجعله أداة بحثية مهمة للدارسين. يمكن تقسيم محتواه إلى: المعاجم التراثية الكبرى مثل العين للخليل بن أحمد، والصحاح للجوهري، ولسان ا�…
This textbook provides a rigorous introduction to multivariable calculus and mathematical analysis. It moves beyond elementary techniques to explore the theoretical foundations of differentiable manifolds, exterior algebra, and differential forms. Fleming emphasizes a modern approach to the subject, utilizing linear algebra to generalize classical theorems like Stokes' theorem and the Inverse F…