Mathematics Made Simple: Mathematical Modeling

Erscheinungsjahr 2027
ISBN: 978-3-662-74680-6
Verlag: Springer

Buch, Englisch, Format (B × H): 155 mm x 235 mm

Reihe: Mathematics Study Resources

This book explains what mathematical modeling is about, what considerations lead to established models, and how you can develop your own mathematical models.

It covers applications from mechanics, population dynamics, microeconomics, and other fields of knowledge. At the same time, we reflect on what we do and what we—often without realizing it—assume when we model observed phenomena mathematically.

People with scientific curiosity have always considered phenomena to be truly understood only when mathematical models have been established that provide accurate predictions. This curiosity persists today, leading to new insights, the development of modern approaches such as machine learning, and thus to ever new models.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Langemann, Dirk

Reisch, Cordula

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

A Small Selection of Famous Models.- Questions about Models.- We Build a Model.- Theory of Modelling.- Tools for Model Analysis.- Brave New World.

Über Autor(innen)

Dirk Langemann studied mathematics at the University of Rostock and has been professor at Technische Universität Braunschweig since 2009. His work focuses on questions of mathematical modeling, and he is responsible for the core undergraduate mathematics courses in engineering degree programs.

Cordula Reisch studied mathematics as well as mathematics and physics for the teaching profession at upper secondary schools at Technische Universität Braunschweig. In 2019, she obtained her doctorate on reaction–diffusion equations with applications in the life sciences. Since 2025 she is professor at Roskilde University. She conducts research on applications of mathematical modeling and teaches courses in these areas.