Conics and Cubics:A Concrete Introduction to Algebraic Curves(Undergraduate Texts in Mathematics)

代数几何学

售   价:
442.00
发货周期:预计8-10周发货
作      者
Bix
出  版 社
出版时间
2010年11月25日
装      帧
ISBN
9781441921789
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页      码
347
语      种
英文
版      次
2nd Ed.
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图书简介
Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas, homogeneous coordinates and intersection multiplicities. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout?s Theorem on the number of intersections of two curves. The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus. The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.
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