Mathematical Foundations - Topics and Literature
Topics
- Sets and functions
- Vectors and matrices
- Systems of linear equations
- Determinants
- Eigenvalues
- Derivatives
- Integrals
- Derivatives of functions in several variables
- Ordinary differential equations
Literature
You can find contents of the course in many books on basics of higher mathematics, and (of different quality) also at several places on the web. For example, many articles in WIKIPEDIA are correct and include further references. You probably also heard about Khan Academy. Here are some books on the topic of the course:
- English
- "Introduction to Mathematics for Life Scientists (Springer Study Edition)",Edward Batschelet, Springer, 1979 [unfortunately, not in the OvGU library]
- "Essential Mathematics for Economic Analysis" by Sydsaeter and Hammond [electronic ressource for OvGU members]
- "Mathematics for Physicists and Engineers: Fundamentals and Interactive Study Guide", Klaus Weltner, Wolfgang J. Weber, Jean Grosjean, Peter Schuster, Springer, 2009 [electronic ressource for OvGU members]
- German
- "Arbeitsbuch höhere Mathematik: Aufgaben mit vollständig durchgerechneten Lösungen", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
- "Ingenieurmathematik für Studienanfänger: Formeln - Aufgaben - Lösungen", Gerald Hofmann, Springer, 2013 [electronic ressource for OvGU members]
- "Höhere Mathematik kompakt", Georg Hoever, Springer, 2013 [electronic ressource for OvGU members]
- "Mathematik für Ingenieure: Eine anschauliche Einführung in das praxisorientierte Studium", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members] & "Übungsaufgaben zu Mathematik für Ingenieure: Mit durchgerechneten und erklärten Lösungen", Thomas Rießinger, Springer Vieweg, 2013 [electronic ressource for OvGU members]
- "Mathematik für Ingenieure und Naturwissenschaftler: Lineare Algebra und Analysis in R", Wilhelm Merz, Peter Knabner, Springer, 2013 [electronic ressource for OvGU members]
- "Mathematik kompakt für Ingenieure und Informatiker", Yvonne Stry, Rainer Schwenkert, Springer 2013 [electronic ressource for OvGU members]