This work serves as an updated companion to the classic Abramowitz and Stegun handbook, focusing on the expansion of special functions into infinite series of Jacobi and Chebyshev polynomials. It provides extensive tables of numerical coefficients and Padé approximations, specifically designed to facilitate accurate function evaluation on modern high-speed computing machinery.
This second volume provides a definitive, advanced treatment of Banach lattices and rearrangement-invariant function spaces. It focuses on their geometric and structural properties, particularly the theory of Orlicz spaces and the isomorphism of various function spaces. It is a foundational text for researchers in functional analysis and operator theory.
This textbook offers a rigorous foundation for the numerical analysis of ordinary differential equations (ODEs), aimed at graduate students in engineering and the physical sciences. It balances mathematical theory with practical algorithms, covering essential topics such as Runge-Kutta methods, multi-step formulas, and detailed stability and error analysis. The text is specifically designed to …
This classic graduate-level text provides a rigorous and systematic introduction to the core structures of algebraic number theory. It covers foundational topics like the theory of ideals and units before moving into advanced areas such as ideles, adeles, and class field theory. Lang’s efficient style bridges the gap between basic algebra and modern research, making it a cornerstone resource …
محتوى الكتاب 1. المقدمة يوضح أهمية المعاجم في حفظ اللغة العربية. يبرز دور الخليل بن أحمد في تأسيس علم المعاجم. 2. المرحلة الأولى: مرحلة التقليبات منهج الخليل في معجم العين: اعتمد على ترتيب الحروف وفق مخارجها الصوتية،…