Download Axiomatic Geometry (Pure and Applied Undergraduate Texts) (Sally: Pure and Applied Undergraduate Texts) PDF EPUB
Author: Author
Pages: 472
Size: 3.066,31 Kb
Publication Date: May 11,2013
Category: Geometry
The story of geometry may be the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and positioned on a company logical foundation, in fact it is the prototype for the axiomatic method that lies at the building blocks of contemporary mathematics. It introduces today’s, rigorous, axiomatic treatment of Euclidean and (to a smaller extent) non-Euclidean geometries, providing learners ample opportunities to apply reading and composing proofs while at exactly the same time developing the majority of the concrete geometric romantic relationships that secondary teachers will have to understand in the classroom. This publication tells the tale of the way the axiomatic technique offers progressed from Euclid’s period to ours, as a means of understanding what mathematics is certainly, how exactly we read and assess mathematical arguments, and just why mathematics has attained the amount of certainty it provides. It is designed mainly for advanced undergraduates who intend to teach secondary college geometry, but it also needs to provide something of curiosity to anyone who desires to comprehend geometry and the axiomatic technique better. It’s been taught to learners for a lot more than two millennia as a style of logical thought.
See also
- Mathematical Circle Diaries, Year 1: Complete Curriculum for Grades 5 to 7 (MSRI Mathematical Circles Library)
- Classical Mechanics With Calculus of Variations and Optimal Control: An Intuitive Introduction (Student Mathematical Library)
- Introduction to Integral Equations With Applications (Pure & Applied Mathematics)