Analysis by its History

Klappentext 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. Zusammenfassung The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. Inhaltsverzeichnis to Analysis of the Infinite.- Differential and Integral Calculus.- Foundations of Classical Analysis.- Calculus in Several Variables.

Product details

• Authors: E. Hairer, G. Wanner, Gerhard Wanner, Ernst Hairer, Erns Hairer
• Publisher: Springer International Publishing AG
• Content: Book
• Product form: Paperback / Softback
• Publication date: 30.06.2008
• Subject: Natural sciences, medicine, IT, technology
• EAN: 9780387770314
• ISBN: 978-0-387-77031-4
• Dimensions (packing): 15.5 x 23.5 x 1.9 cm
• Series: Undergraduate Texts in Mathematics; Undergraduate Texts in Mathematics
• Subjects: Integration, Analysis, Geschichte der Mathematik, Calculus, Integral, Mathematik / Geschichte, Derivative, Interpolation, differentialequation, historyofmathematics, IsaacNewton