Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Based on this question i asked recently: A question about geometry of plane curve books, i think it is too advance for a HS student/ typical second or third year undergraduate math majors to read on their own on the books given on the answer to that question

Also, i think it is too much and incomplete to try on your own to search on the whole subject of plane curve. What is a fast and comprehensive way to fill up the gap between a typical advanced undergraduate algebraic curve course and High school basic geometry/precalculus course?

share|cite|improve this question
up vote 1 down vote accepted

Try Bix, Conics and cubics: a concrete introduction to algebraic curves.

share|cite|improve this answer

For something I was working on about a year ago, I checked out a library copy of Bix's text Conics and Cubics for a couple of months. I liked the text. Indeed, speaking just for myself, if I wanted to begin learning algebraic geometry, I think I would begin with Bix's text. However, it seemed to me that Bix's text is at the upper level you stated (advanced undergraduate level), and is not really a text that would bridge the gap between high school precalculus and advanced undergraduate level work. Thus, I think the suggestions by Gerry Myerson would be more useful to you.

In any event, perhaps some of the material in the following notes by I. R. Shafarevich could be of use, although they are probably more algebraical/analytical and less geometrical than what would be ideal for your purposes. The last reference is a paper by Joerg Meyer that might also be of interest to you.

Selected Chapters From Algebra, I (22 pages)

Selected Chapters From Algebra, II (30 pages)

Selected Chapters from Algebra, III/1 (16 pages)

Selected Chapters from Algebra, III/2 (26 pages)

Selected Chapters from Algebra, IV. Primes (20 pages)

Selected Chapters From Algebra, V. Real Numbers and Polynomials (34 pages)

Selected Chapters From Algebra, VI. Infinite Sets (34 pages)

Selected Chapters From Algebra, VII. Power Series (36 pages)

Projections of the twisted cubic by Joerg Meyer (12 pages)

share|cite|improve this answer

I'd say that to go from high school to plane curves you need two semesters of calculus, a semester of linear algebra, a semester of groups-rings-fields, and a semester of geometry (especially projective geometry).

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.