The book "IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials" offers a comprehensive collection of peer-reviewed and edited contributions presented at the IUTAM symposium on this topic. The symposium took place from October 26 to 29, 2005, in Rungstedgaard, Denmark, and brought together 74 scientists from 19 countries. The contributions cover the current state and perspectives of topological design optimization, which has undergone significant development since the introduction of the homogenization method over 15 years ago. This method has evolved from its original application in minimal compliance optimization to a versatile tool used in various fields of structural and machine optimization as well as in biomechanics. The book provides valuable insights into the advancements and challenges in this dynamic research field and is an important resource for professionals and students.