An Invitation To Algebraic Geometry
The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
Stats for nerds
3recommend
3mentions
3people
2019–2025years
100% recommend
Mentions per year
What Hacker News says
- You need to go more slowly and do lots of examples. Maybe start with
* Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen and William Traves, An Invitation to Algebraic Geometry, Springer, Berlin, 2004.
and then this:
* Igor R. Shafarevich, Basic Algebraic Geometry, two volumes, third edition, Springer, 2013.
- I highly recommend the book "An Invitation to Algebraic Geometry" by Karen E. Smith et. al., as an introduction. It'll give you a taste of the field, without delving too deeply into technicalities.
- If you do have some math background, "An Invitation to Algebraic Geometry" by Karen Smith et al is a lovely, slim volume that gets to important ideas right away.
"Ideals, Varieties, and Algorithms" is an "invitation to computational geometry" by Cox, Little, and O'Shea. I think parts of it might really appeal to HN readers and it's supposed to be for an undergrad math major audience.
Related
2011–2025
Basic algebraic geometry
2 recommend · 3
Ideals, varieties, and algorithms
6 recommend · 8
Computational algebraic geometry
2 recommend · 2
Linear and Geometric Algebra
14 recommend · 27
Concrete mathematics
140 recommend · 312
A transition to advanced mathematics
15 recommend · 20
