Analysis by Its History

1996
ISBN: 978-0-387-94551-4
Verlag: Springer

Buch, Englisch, 379 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1610 g

Reihe: Readings in Mathematics

This book presents first-year calculus roughly in the order in which it was first 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. The authors have published other successful titles with Springer.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Wanner, Gerhard

Hairer, Ernst

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

to Analysis of the Infinite.- Differential and Integral Calculus.- Foundations of Classical Analysis.- Calculus in Several Variables.