PhD in Mathematics in Ostrava in Czech Republic

See PhD Programs in Mathematics 2017 in Ostrava in Czech Republic

Mathematics

The most popular doctorate is the Doctor of Philosophy or Ph.D. Ph.D.s and other study doctorates prepare graduate student to launch new plans that add to the common knowledge base of the field. Candidates for and holders of Ph.D.s often seek professions as professors and researchers, but many also go on to different roles in the charitable, public, and private sectors.

Mathematics is a discipline that needs frequent studies, research and analysis of the legendary mathematical formulas. This training will help you understand the mathematical concepts. At the same time, you will come up with better ways to simplify the mathematical formulas to ease the understanding process especially for students.

Czech Republic is in the heart of Europe is a neighbor of Slovakia, Austria, Germany, and Poland. Czech universities offer long-standing reputation and interesting specializations.

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PhD in Applied Mathematics and Fuzzy Modelling

University of Ostrava
Campus Full time Part time 4 years September 2017 Czech Republic Ostrava + 1 more

PhD students in Applied Mathematics and Fuzzy Modelling then choose one of the following specializations: Differential equations: geometric, variational, and optimization methods; Analytical number theory; Fuzzy modelling. [+]

Doctorate Programs in Mathematics in Ostrava in Czech Republic. PhD students in Applied Mathematics and Fuzzy Modelling then choose one of the following specializations: Differential equations: geometric, variational, and optimization methods Analytical number theory Fuzzy modelling Ad 1) The study in the specialization “Differential Equations: Geometric, Variational, and Optimization Methods” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: global variational analysis, differential equations on manifolds, differential invariants and natural Lagrange structures, optimization in abstract and infinite-dimensional spaces, stochastic-heuristic algorithms in global optimization. The study in this specialization also pursues applications, namely: applications in physics and engineering (variational principles, dynamical control and optimization, non-holonomic mechanics and field theory, real-life, everyday operational problems in business, industry, entrepreneurship, sustainable development, etc. The solution involves a mathematical formulation of the problem, (finding a suitable method for its solution), acquiring real data, and solving the problem with a practical recommendation based on the computed solution. The focus of the student is supported by electing at least two compulsory elective subjects of this specialization, where the student acquires deep theoretical knowledge of mathematical theories and methods (topology, differential geometry, global analysis, geometric mechanics, variational equations, stochastic algorithms) of the given areas, and the ability to use the modern methods and means of mathematics to solve real problems. Ad 2) The study in the specialization “Analytical Methods in Number Theory” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: Irrationality of infinite series Diophantine approximations Densities and measures of sets of positive integers or real numbers Characteristics of distribution of number sets and sequences The study in this specialization is mostly theoretical, nevertheless it involves also applications, namely: applications of uniformly distributed sequences, construction of low discrepancy sequences and their applications, Monte Carlo and Quasi Monte-Carlo methods in mathematics, physics, economics. The focus of the student is supported by electing at least two compulsory elective subjects of this specialization: Diophantine approximations Uniformly distributed sequences Prime number theory Monte Carlo and Quasi-Monte Carlo Methods and their applications Selected topics in Number Theory The students will acquire deep theoretical knowledge of mathematical theories and methods of the given areas, and the ability to use the modern methods and means of mathematics to solve real problems. They will be prepared for their scientific research work as well as for further pedagogical work. Ad 3) The study in the specialization “Fuzzy Modelling” of the PhD study field Applied Mathematics and Fuzzy Modelling focuses on one of the following areas: Algebraic structures of truth-values (residuated lattices, MTL-, BL-, MV-algebras, etc.). Fuzzy logics. Fuzzy modelling. Time series analysis. Data analysis. Nature-inspired methods (evolutionary algorithms, swarm intelligence, etc.), A substantial part of the study is devoted to practical development of the methods mentioned above and their applications, especially in the following fields of activities: Data processing (data mining, time series analysis and forecasting, image processing, etc.). Control and decision making based on expert knowledge. Artificial intelligence and common sense reasoning. Admissions procedure The admissions procedure involves the selection of suitable applicants. The admissions board considers the following documents provided by the applicant: an officially recognized diploma proving the applicant's higher education (a Master's degree or equivalent) – see below, a copy of the Diploma Supplement (or another list of completed courses in the framework of the Bachelor's or Master's studies, confirmed by the university), a Curriculum Vitae, a list of publications, a copy of thesis written for a Master's degree (on a CD), a covering letter (in English) specifying the applicant's area of interest and identifying the prospective advisor, two letters of recommendation (by university lecturers or researchers). The documents must be delivered to the Department for Research and Doctoral Studies no later than a day before the meeting of the admissions board. [-]