Messerschmidt, Miek2023-07-072023-07-072023-092023*S2023http://hdl.handle.net/2263/91293Dissertation (MSc (Mathematics))--University of Pretoria, 2023.In this dissertation we explore the theory and applications of Gröbner bases, and the algorithms that allow us to compute them.en© 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.UCTDGröbner basesPolynomial idealsSystems of polynomial equationsUCTDDissertationu13402260Disclaimer Letter