Mathematics going forward : collected mathematical brushstrokes Inhaltsverzeichnis: 1. Algebraic Geometry 2. Dynamical Systems 3. Finance 4. Geometry 5. Groups 6. History of Mathematics 7. Information Theory 8. Logic 9. Mathematical Models 10. Mathematical Physics and PDEs 11. Number Theory 12. Probability Theory. This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields to analyses of the history of the discipline to discussions of open problems and conjectures including first solutions of unresolved problems. Interestingly the topics do not cover all of mathematics but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics including algebraic geometry probability logic optimization finance topology partial differential equations category theory number theory differential geometry dynamical systems artificial intelligence theory of groups mathematical physics and statistics.