This book specifically developed as a novel textbook on elementary classical mechanics shows how analytical and numerical methods can be seamlessly integrated to solve physics problems This approach allows students to solve advanced and applied problems at an earlier stage and equips them to deal with real world examples well beyond the typical special cases treated in standard textbooksAnother advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a exploratory way of understanding phenomena and of developing their physical conceptsWhile not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting type language This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included A parallel edition using Python instead of Matlab is also availableLast but not least, each chapter is accompanied by an extensive set of course tested exercises and solutions