The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a model of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom.
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Descrizione libro American Mathematical Society, 2013. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821884786
Descrizione libro American Mathematical Society, 2013. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821884786
Descrizione libro Amer Mathematical Society, 2013. Hardcover. Condizione libro: Brand New. 469 pages. 9.75x7.00x1.00 inches. In Stock. Codice libro della libreria 0821884786
Descrizione libro American Mathematical Society, 2013. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service!. Codice libro della libreria ABE_book_new_0821884786