Complements of Higher Mathematics

Marin Marin is a Professor at the Department of Mathematics and Computer Science at Transilvania University of Brasov, Romania. He graduated with a degree in Mathematics from the University of Iasi, Romania in 1979 and received his Ph.D. from the University of Bucharest, Romania in 1994. He joined the Transilvania University of Brasov as an Assistant Professor in 1990, going on to become a Full Professor in 1999. Marin’s scientific interests lie in Differential Equations, Partial Differential Equations, Equations of Evolution, Integral Equations, Mixed Initial-Boundary Value Problems for PDE, Environments Goals, and Nonlinear Problems. Professor Marin received the award “Spiru Haret” from the Romanian Academy in 2012. Andreas Öchsner is a Full Professor at the School of Engineering, Griffith University, Australia and Leader of the Mechanical Engineering Program (Head of Discipline and Program Director). Having obtained a Dipl.-Ing. degree in Aeronautical Engineering at the University of Stuttgart (1997), Germany, he served as a research and teaching assistant at the University of Erlangen-Nuremberg, Germany, from 1997 to 2003 while working to complete his Doctor of Engineering Sciences (Dr.-Ing.) degree. From 2003 to 2006, he was an Assistant Professor at the Department of Mechanical Engineering and Head of the Cellular Metals Group affiliated with the University of Aveiro, Portugal. He spent seven years (2007–2013) as a Full Professor at the Department of Applied Mechanics, Technical University of Malaysia, where he was also Head of the Advanced Materials and Structure Lab. His research interests are related to experimental and computational mechanics, cellular metals and thin structures and interphases. He has published over 420 scientific publications, comprising 13 research monographs, 21 book chapters and two teaching books on finite element methods. He is the general chairman of 11 international conferences on computational and experimental engineering and 13 international conferences in the area of heat and mass transfer. His editorial work includes posts as Editor-in-Chief of the international journal Continuum Mechanics and Thermodynamics, Editor-in-Chief of the Springer book series on Advanced Structured Materials, and Editor of SpringerBriefs in Applied Sciences and Technology: Computational Mechanics. His research activities were recognised in 2010 in the form of a higher doctorate degree (D.Sc.) awarded by the University of Newcastle, Australia.

• Complex Functions.- Special Functions.- Operational Calculus.- Fourier’s Transform.- Calculus of Variations.- Quasi-linear Equations.- Hyperbolical Equations.- Parabolic Equations.- Elliptic Partial Differential Equations.- Optimal Control.