Fast Track to Differential Equations : Applications-Oriented - Comprehensible - Compact （2019）

Fässler, Albert

Springer Nature Switzerland AG（2020/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 207 p.
• 言語 ENG
• 商品コード 9783030232931
• DDC分類 515.352

Full Description

This compact introduction to the ordinary differential equations and their applications is aimed at anyone who, in their studies, is confronted voluntarily or involuntarily with this versatile subject. Numerous examples from physics, technology, biomathematics, cosmology, economy and optimization allow a quick and motivating approach - abstract proofs and unnecessary formalism are avoided as far as possible. In the foreground is the modelling of ordinary differential equations of the 1st and 2nd order as well as their analytical and numerical solution methods, in which the theory is briefly dealt with before the application examples. In addition, codes show exemplarily how even more demanding questions can be answered and meaningfully represented with the help of a computer algebra system. In the first chapter the necessary previous knowledge from integral and differential calculus is treated. A large number of exercises including solutions round off the work.

Contents

Prerequisites from Calculus.- First Order Differential Equations.- First Order Applications.- Second Order Differential Equations and Systems with Applications.- Numerical MethodsWith Applications.