Course description: Projective line, projective plane, projective space, ideal points. Duality, ratios, harmonic quadruples, conic sections, projective transformations, holologies,Theorems ofDesargues,Brianchon and Pascal. Homogeneous cordinates.
- Teacher: Δημήτριος Κοντοκώστας
ECTS : 4
Language : el
Learning Outcomes : Upon successful completion of the course, students will be able to: • possess mathematical knowledge in the field of projective geometry. They will thus be able to sharpen their mathematical thinking at a theoretical level and enrich their geometric background, through the acquisition of advanced geometric knowledge beyond classical Euclidean geometry. • be able to understand the connection between mathematical knowledge of projective geometry on the one hand and representations of technical drawings and objects in space in general on the other. • be able to understand the application of the above knowledge for handling various technical issues related to the science of surveying via computer. • have the ability to mathematically analyze and describe existing topographic problems, propose their mathematical solutions, conduct their mathematical investigation, transfer the results to colleagues, predict the results of their actions without constructing true models for experimentation and perform correct actions to create designs corresponding to real objects with specific mathematical properties. • have the ability to undertake future postgraduate studies in subjects of the surveying field or related fields, where a solid geometric foundation is essential.