Analysis by Its History

Analysis by Its History

المؤلف
E. Hairer, G. Wanner
سنة النشر
2008
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Mathematics and Statistics

This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.


الكلمات المفتاحية: Mathematics and Statistics / Isaac Newton / Calculus / Derivative / Differential equation / History of mathematics / Integral / Integration / Interpolation