This book presents current research in the field of mathematics, with a particular emphasis on mathematical theories, models and groups. It discusses topics that include particular swarm optimisation in theory and practice; detecting the commuting probability of the derived subgroup; peer group situations and games with interval uncertainty; groups of wraps and diffeomorphisms of manifolds over non-archimedean normed fields; and, the concept of a suitable insurance policy using leader-follower games.
Preface; Comparative Study of Different Approaches to Particle Swarm Optimization in Theory & Practice; Detecting the Commuting Probability of the Derived Subgroup; On Higher Derivations: A Survey; Peer Group Situations & Games with Interval Uncertainty; On Shift-Invariant Solutions for Tu-Games; Groups of Wraps & Diffeomorphisms of Manifolds; Over Non-Archimedean Normed Fields; The Concept of a Suitable Insurance Policy Using Leader-Follower Games; Index.