what is Euclid's importance on mathematics?
http://answers.yahoo.com/question/index?qid=20081208142542AASBc30
we're not allowed to use any wikipedia sites.
http://www.historyforkids.org/learn/greeks/science/math/euclid.htm
Euclid is considered one of the most influential mathematicians in history due to his groundbreaking work in the field of geometry. His most famous work, "Elements," is a comprehensive treatise on mathematics that had a significant impact on both ancient and modern mathematics.
Euclid's Elements is a compilation of mathematical propositions and proofs, covering a wide range of topics including geometry, number theory, and algebra. It consists of 13 books, each building upon the previous ones, presenting a logical and deductive approach to mathematical reasoning.
Euclid's axiomatic approach laid the foundation for the rigorous and systematic study of mathematics. He presented a set of fundamental assumptions (axioms) from which the rest of the mathematical theorems were derived. This approach emphasized the importance of logical reasoning, proof, and precision in mathematical investigations.
Euclidean geometry, as presented in Elements, became the standard framework for the study of geometry for more than two millennia. His work provided a solid theoretical basis for practical applications in fields such as architecture, surveying, and engineering.
Furthermore, Euclid's emphasis on the deductive method and precise logical thinking had a profound influence on the development of mathematical thinking and the philosophical understanding of the nature of mathematics. His work has been studied and admired by mathematicians and scholars alike throughout history.
In summary, Euclid's importance in mathematics lies in his development and systematization of geometry, his axiomatic approach to mathematical reasoning, and his influence on the logical foundations of mathematics.