Matematica generale con il calcolatore
- المؤلف
- Michele Impedovo
- سنة النشر
- 2005
- الناشر
- Springer
- لغة الملف
- إيطالي
- نوع الملف
- Book
- تصنيف الكتاب
- Mathematics and Statistics
- تحميل الكتاب قراءة الكتاب
By introducing mathematical objects, it teaches students how to use a computer to perform numerical and symbolic calculations, define a function and calculate its values, plot and explore graphs, and execute simple algorithms. The course is rich in examples, applications, and models, drawn from economics, physics, biology, statistics, and mathematics itself. The analysis of these models constitutes, in a certain sense, the true purpose of the mathematical theory covered. Automatic calculation tools (mathematics software, spreadsheets) are used extensively to explore and illustrate concepts and properties. Mathcad® software, in particular, was used, both as a calculation tool and as a simple yet powerful programming language. Considerable space is devoted to approximation, emphasizing the distinction between numerical and symbolic calculation; to algorithms as a synthesis of the syntactic and semantic aspects of mathematical objects; and to computer simulation, interpreted as a "physical" experiment and a source of conjecture. The ability to use a calculator marks a sort of "democratization" of mathematics: even complex results, which have always required a broad background of knowledge and laborious calculations, are now quickly accessible to anyone who understands the meaning of mathematical objects and knows how to use the syntax.
الكلمات المفتاحية: Mathematics and Statistics / Algorithmes / Algorithms/ Analyse globale (Mathématiques) / Computer science - Mathematics / Electronic Data Processing / Équations fonctionnelles / Functional equations / Global analysis (Mathematics) / Informatique / Informatique Mathématiques / Mathematics / Mathématiques / Algoritmi / Calcolatore / Calcolo simbolico / Differential equation / Matematica / Simulazione / Sistemi dinamici
