Connected Mathematics

This book constitutes the refereed post-conference proceedings of the First IFIP International Cross-Domain Conference on Internet of Things, IFIPIoT 2018, held at the 24th IFIP World Computer Congress, WCC 2018, in Poznan, Poland, in September 2018.

This comprehensive monograph is the first to treat an important and challenging subject in mechanics, namely, the thermomechanics of viscoplasticity. This entails an examination of the geometrical and thermodynamical properties of mechanical behavior of metals and many polymeric and paste-like materials which are indispensable for developing a rational theory of viscoplasticity.

They established that semianalytic sets admit Whitney stratifications and triangulations, and using these tools they clarified the local topological structure of these sets. For example, they showed that the closure and the connected components of a semianalytic set are semianalytic…

During the last twenty-five years quite remarkable relations between nonas­ sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces.