The Julia programming language is gaining increasing attraction in scientific computing, data analysis, machine learning and other fields. Some of its outstanding features are: - open source license - easy-to-learn syntax - powerful abstractions and generic programming features - high performance potential due to just-in-time compiling - extensibility and reproducibility via sophisticated package management - portability among operating systems - re-use of existing codebase via interfaces to other languages The talk provides an example-based introduction into Julia and some of its basic concepts and discusses examples where recent research at WIAS was able to take advantage of Julia.