About the book
The book singularity encompasses topics that detail the concept of singularity used in mathematics and applied sciences. The theory of singularities is at the crossroad of branches of mathematics from the most abstract to the most applied. Theoretical topics include algebra, differential geometry, topology and the applied areas consist of dynamical systems theory, control theory, differential equations, Quantum Mechanics, optics and functional analysis.
The book covers topics such as the propagation of cracks in fracture mechanics, seismology and elasticity theory, the formation of shock waves in gas flow using both continuum and kinetic theories are considered, the formation of drops and bubbles in atomization, fluidization processes and formation of surfaces is considered. Singularities in materials such as liquid crystals, optical systems and thin films and pure mathematics components such as The theory of Singularity, algebra, and analysis and how singularities arise in an abstract setting are also welcome.