Numerische Mathematik

The Key Topics of Numerical Mathematics

The field of numerical mathematics is becoming increasingly important due to the growing integration of mathematics and computer science in engineering practice.

This book is aimed at engineering students with the goal of familiarizing them with essential principles and algorithms of numerical methods. The terms and methods are precisely formulated, and their background is illustrated. In favor of a variety of examples and exercises, proofs are omitted. This makes the book particularly well-suited for self-study and exam preparation.

This compact book covers the key topics of numerical mathematics:

• Fundamentals of floating-point arithmetic,
• Numerical solutions of equations and systems of equations,
• Interpolation,
• Least squares fitting,
• Numerical differentiation and integration, and
• Basics of numerically solving initial value problems for ordinary differential equations.