Modern society has a strong need for reliable Information Technology. To warrant correct designs for hardware and software systems, there is a thorough methodology (specification, design based on subspecifications and composition of components, and correctness proofs). Because of the difficulty of making specifications and proofs, the success of this method has been only partial, mainly in the area of hardware design. Presently there is emerging a new technology: Computer Mathematics. It consists of the interactive building of definitions, statements and proofs, such that it can be checked automatically whether the definitions are well-formed and the proofs are correct. Hereby the human user provides the intelligence and the system does part of the craftsmanship. Some forms of computer mathematics is already of use for the design of hardware systems. After the technology will be mature, it may become a tool for the development of mathematics comparable to systems of computer algebra, b...