Principles of Mathematics for Economics

This textbook provides a comprehensive general introduction to various mathematical tools in the context of their applications in economics and finance.It approaches topics like mathematical structures and functions, linear and non-linear analysis, differential calculus and integration by starting from the real line and moving to n-dimensional spaces. Additionally, a special emphasis is placed on global optimization, bringing it closer to real economic applications.The book is suitable for both self-study and as supplementary material for an introductory mathematics course taken by university students majoring in economics and business/finance. The rigorous style helps inexperienced students to familiarize themselves with the concept of mathematical proofs and also shows tools to prove new findings. This makes the book ideal for students undertaking further studies in economics and finance, and eventually planning an academic or professional career.