Mathematical optimization is one of the cornerstones of a mathematics degree due to rapid scientific development and its wide range of applications. This book provides a solid foundation for more complex topics in discrete and nonlinear optimization with an introduction to linear and convex optimization. Only basic knowledge of linear algebra and analysis is required from students, as taught in the first year of any mathematically oriented bachelor's program. The authors draw on many years of experience with relevant lectures at the technical universities of Braunschweig and Graz in terms of selection, scope, and structure. The book is suitable as a basis for lectures on linear optimization (approximately 4 credit hours) and convex optimization (approximately 2 credit hours) in the bachelor's program. It contains more material than is necessary for this purpose, allowing instructors to...