There he received a good understanding of basic mathematics, studying differential and integral calculus, analytic geometry, and the foundations of analysis. ... In the summer of 1854, Dedekind qualified as a university lecturer and began lecturing on the mathematics of probability as well as on geometry with parallel treatment of analytic and projective methods. ... The primary motivation behind part one of his book, Continuity and Irrational Numbers, was the desire to replace loose geometrical concepts and intuitive justifications with exact proofs stemming from precisely formulated defin...

• Word Count: 2467
• Approx Pages: 10
• Has Bibliography
• Grade Level: Undergraduate