On the other hand, the Harthshorne book (I write about his "Algebraic Geometry", with emphasis on Chapters II and III) is an underload of information because it recaps Éléments de géométrie algébrique by Grothendieck and Dieudonné (which is exactly 1800 pages of scheme theory, not a page more, not a page less), it is not very easy to read. In my humble opinion, the Vakil notes (also known as FOAG) are very complete with regards to scheme theory they include all prerequisites (category theory, commutative algebra, topology, etcetera omissis ) to scheme theory, an extensive bibliography, and also information about the "art status" of algebraic geometry.īut this completeness is an overload of information, so I use FOAG only for when I want a detailed study of some argument. Should I look up a solution after maybe struggling for half hour? There are solutions for Hartshorne, so maybe study Hartshorne is more convenient since it is easier to look up solution?Īlso, what is the right pace to learn the stuff? I mean should I worry if every day I spend $3$ hours to learn the stuff but I only finish $1$ page? (I know maybe I should spend more time, but unfortunately I am teaching myself algebraic geometry and I have other classes currently) How long should I spend for an exercise that stick me. So maybe I should try to work Hartshorne?Īnother question is about exercises. But the book has almost $800$ pages! Hartshorne has some proof, the exercises also have some explanation. The typical situation is after $2$ hours work, maybe I am still in the same page. But the problem is most arguments are given in the form of exercises, which means I am always stuck. Especially, the exercises appear just in the right time, and there are more explanation of the exercises, so that I know what I am doing. I have worked through the first $4$ chapters of Vakil's notes and now I am thinking whether should I continue or try to study Hartshorne. If you feel you were banned unjustly, or that the circumstances of your ban no longer apply, see our ban appeal process here.Ĭareer and Education Questions - every ThursdayĪ Compilation of Free, Online Math Resources.I believe Hartshorne and Vakil's notes are two most popular text currently, so my question is about how to choose the text. If you post or comment something breaking the rules, the content may be removed - repeated removal violations may escalate to a ban, but not without some kind of prior warning see here for our policy on warnings and bans. This subreddit is actively moderated to maintain the standards outlined above as such, posts and comments are often removed and redirected to a more appropriate location. Unnecessarily combative or unkind comments may result in an immediate ban. racism, sexism, homophobia, hate speech, etc.). This includes not only comments directed at users of /r/math, but at any person or group of people (e.g. If you upload an image or video, you must explain why it is relevant by posting a comment providing additional information that prompts discussion.ĭo not troll, insult, antagonize, or otherwise harass. Memes and similar content are not permitted. Image/Video posts should be on-topic and should promote discussion. If you are asking for advice on choosing classes or career prospects, please post in the stickied Career & Education Questions thread. Rule 4: No career or education related questions If you ask for help cheating, you will be banned. Do not ask or answer this type of question in /r/math. Homework problems, practice problems, and similar questions should be directed to /r/learnmath, /r/homeworkhelp or /r/cheatatmathhomework. This includes reference requests - also see our list of free online resources and recommended books. If you're asking for help learning/understanding something mathematical, post in the Quick Questions thread or /r/learnmath. Requests for calculation or estimation of real-world problems and values are best suited for the Quick Questions thread, /r/askmath or /r/theydidthemath. For example, if you think your question can be answered quickly, you should instead post it in the Quick Questions thread. Questions on /r/math should spark discussion. Rule 2: Questions should spark discussion Please avoid derailing such discussions into general political discussion, and report any comments that do so. In particular, any political discussion on /r/math should be directly related to mathematics - all threads and comments should be about concrete events and how they affect mathematics. All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics.
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