The best parts of physics are the last topics that our students ever see‎.‎ These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high‎-tech businesses‎.‎ Topics such as traffic on the World Wide Web‎,‎ the spread of epidemics through globally‎-mobile populations‎,‎ or the synchronization of global economies are governed by universal principles just as profound as Newton‎'‎s laws‎.‎ Nonetheless‎,‎ the conventional university physics curriculum reserves most of these topics for advanced graduate study‎.‎ Two justifications are given for this situation‎:‎ first‎,‎ that the mathematical tools needed to understand these topics are beyond the skill set of undergraduate students‎,‎ and second‎,‎ that these are speciality topics with no common theme and little overlap‎.‎ Introduction to Modern Dynamics dispels these myths‎.‎ The structure of this book combines the three main topics of modern dynamics ‎- chaos theory‎,‎ dynamics on complex networks‎,‎ and general relativity ‎- into a coherent framework‎.‎ By taking a geometric view of physics‎,‎ concentrating on the time evolution of physical systems as trajectories through abstract spaces‎,‎ these topics share a common and simple mathematical language through which any student can gain a unified physical intuition‎.‎ Given the growing importance of complex dynamical systems in many areas of science and technology‎,‎ this text provides students with an up‎-to‎-date foundation for their future careers‎.‎