Algebraic Geometry and Commutative Algebra. Siegried Bosch Well, algebraic geometry deserves all these approaches and more. Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited. Siegfried Bosch. Algebraic Geometry and. Commutative Algebra Prof. Dr. Siegfried Bosch Mathematisches Institut Westfälische Wilhelms-Universität Münster.
|Published (Last):||3 March 2010|
|PDF File Size:||3.2 Mb|
|ePub File Size:||19.88 Mb|
|Price:||Free* [*Free Regsitration Required]|
I’ll be older than I’d like by the time Algebbra applying for postdocs, but I’d do it again; it was worth it to understand the geometry.
I suggest you do go through this book one day as it is the most standard reference, but it will algebdaic you a while to read I’m saying “a while” to not say “months”. Also I had the impression that calculations with these equations gave more more rigorous arguments than the Euclidean-style proofs I had been exposed to.
Modules are definitley the way to go about learning Commutative Algebra.
Sure, it sounded reasonable when they described things, but when I tried to do the same things I’d end up with four different answers and no idea which was correct. A separate part commutafive with the necessary prerequisites from commutative algebra. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. What problems, ideas or questions first got you interested in algebraic geometry?
It is a really interesting subject. It transcends the limited scope of pure algebra by means of geometric construction principles. For me it was plane curves. The book 3 is also a very good reading and full of topics and examples – I would consider it as indispensible.
Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site the association bonus does not count. Bhaskar Vashishth 7, 1 20 It feels as akin to studying all of homological algebra first, before we get to he homology of a topological space. Do you mean learning about modules? I suppose this means it is a fascinating area.
Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. In that case it is not really a “way” to learn but a specific topic. Hartshorne is that way for me.
I ended up transferring to a different grad program when I was nearly A. Sign up using Email and Password.
I had some free time and decided to stop by the library. For me the best to start. For one thing, I could see the geometric ideas motivating a lot of things I’ve previously thought of as miraculous formal tricks.
Sophisticated methods must eventually be learned in order to solve difficult problems but we should always keep in mind that this sophistication is a means and not an end.
I definitely recommend this book for readings. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. By the way, there is a very good new book out by Bosch, called Commutative Algebra and Algebraic Geometry.
commutatkve How to learn commutative algebra? I went through a bunch of geometry-type courses in college physics, differential geometry, parts of algebraic topology, etc. This book is known for doing lots of examples and dealing with problems “by hand”, so to speak, so that you can see in the proof what’s going on, instead of using super general arguments which are very powerful but very abstract too.
Typical examples and an abundance of exercises illustrate each section. When my first contact occurred I didn’t even know that it was algebraic geometry because the course was called “analytic geometry”! I’m new to this site so I don’t know what tags I should add for this question. This is when I took the connection between CA and AG more seriously, in particular the viewpoint that “CA is for AG what calculus is for differential geometry” local analysis.
This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. I would recommend first to work through Atiyah,Macdonald “Introduction to Commutative Algebra”, ideally from cover to cover. Techniques of Global Schemes. Is there any video course available for commutative algebra?