Post best introductory book in your field of expertise

/thread

All three of these books serve different purposes and have wildly different flavors. Shafarevich is a great introduction, Hartshorne is great for a more algebraic, scheme-theoretic perspective, and Griffiths Harris is a bible of the complex geometric side of things.

For a third perspective, the bible in my field are Demailly's notes--"Complex Analytic and
Differential Geometry." This is not so much algebraic geometry but what i would classify a analytic complex geometry--much more analytic and geometric than the above books (it's best approached with a working knowledge of plurisubharmonic functions and currents, for example).

Is that the same Griffiths that writes physics texts?

>Phillip Griffiths
>David J. Griffiths

>No Schemes
>Book on Complex Algebraic Geometry yet barely touches on Hodge Theory

lolno

But you do need to understand basic logic to understand math in general. He's not implying that AG is used in category theory, but rather that category theory is used in AG.

very little; though playing around with simple sheaf toposes that are not AG-y in nature might help, just to get an idea about how basic things like epimorphisms work

sorry mate, but you should read all of these

>algebraic geometry

more like autism theory

kiss your sister

Yeah, I agree. You need to have basic logic and math to understand math in general.

A highly motivated high school student could learn introductory category theory where the objects are sets and arrows are functions, then move onward and learn basic group theory and so on.

Tbh before you start talking about schemes, algebraic geometry is probably one of the more intuitive fields in math. I mean varieties are essentially just the zero locus of some set of polynomial equations (either globally or locally). I mean you study some basic algebraic curves and surfaces in high school.

And schemes can become a lot more intuitive too if you put the work into studying them.

if you fully indulge into it you may end babbling about devil in the Pyrenees

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By far the best introductory textbook for that field imo. Unless you like to delve into the hardcore stuff right off the bat of course.

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sometimes I think his works are revenge on the world or a kind of anti-war fuse

Görtz-Wedhorn, of course. Although, Mumford-Oda will have to supplement until the second volume comes out.

cyber.eserver.org/unabom.txt

this is very nice introduction to autism

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No chembros yet?

> far the best introductory textbook
ahahahahahaha AHAHAHAHAHAHA

>he didn't graduate from Playboy six years ahead of his peers
>he didn't get a full ride to one of the most prestigious pornographic subscriptions in the world
>he didn't get to observe some of the most brilliant minds in his field perform astonishing acts of depravity, years before they became popular
>he didn't prove the Loli-Guro Conjecture while still a teenager
>he didn't make significant contributions to BBW Diaper Pony Theory
>he didn't co-author a groundbreaking dōjinshi extrapolating hentai Nazifur amputee tentacle rape, while his colleagues were just getting into internet porn
>he doesn't currently head a research team of some of the top clown rape fetishists and incest cartoon artists in the world

Not everyone here is a dumb sheltered prude faggot you Mormon fuck

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Fifth edition Atkins, nice.

Introduction to NMR spectroscopy, Keeler J.

Why all these algebraic geometry and no love for geometric algebra

geobraic almetry is a far more important field

Algebraic Geometry is a way bigger subject.

only because nobody study geometric algebra

Not as important as algemetric geobra.

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Hi, Mark

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i legitimately believe that this man was the smartest man to walk this earth
you don't realize it until you start going through his work
his contributions are just ridiculously enormous, and to have contributed so much over the course of his short career
nobody else even compares, it's just insane
how do i grothendieck mode?

I recently came across writings he wrote about life etc. can link you later if interested.

Scott?

please link

>Observer

Kek.

fermentmagazine.org/rands/recoltes1.html

Keep pressing the links at the bottom to continue reading "Preface" then "Introduction" then "Introduction Continued" etc.

I've been studying Category theory over the summer and in between studies reading his "Récoltes et Semailles". Enjoy.

trying too hard: the post

>observer
this explains everything

Jerry?

Best intro for scheme theory

*after Görtz-Wedhorn, of course

>Görtz-Wedhorn,
Never heard of it.

wtf am I reading

It's fairly recent (2010, I think). It's just fantastic on so many levels. Have a look through one of its tables of contents, you'll see why it blows the competition out the water. It can be found on Görtz or Wedhorn's website.

>algebraic geometry is probably one of the more intuitive fields in math
Really ?
I'm undergrad and our algebra prof (currently doing ring arithmetic, but he designed the entire undergrad algebra curriculum) teased us about making an AG-centric undergrad course but he ended up going with number theory because it's more standard and "students like NT".
How different is AG compared to NT ? Because I just don't find NT books as interesting as say Probability books (sorry... but it's the one topic I find super intuitive somehow) Or are AG / schemes / category theory things you just can't do without good foundations in NT ?

>>>Observer
why is it a joke ?

Well it's intuitive if you have some good classical geometric grounding and if you "speak" algebra (ie. if you are familiar with basic ring theory and have strong linear algebra foundations), otherwise it might not go very smoothly.
Also, it might not be so much that you can't do algebraic geometry if you don't know number theory, but rather that algebraic number theory has motivated the development of algebraic geometry as it is today (ie. scheme theoretic) and provides a wealth of interesting examples.

movie

Literally 100% of complex geometers have a copy of the book for a reason. Chapter 0 +1 as an intro to complex geometry is enough reason to get it. Voisin and huybrechts have COMPLETELY different perspectives.

fringe.wikia.com/wiki/Observers

Grothendieck was an insane workaholic. He was a genius, sure, but you don't write hundreds of pages a year of novel work by genius alone. You do it by putting in 16 hour days 7 days a week.

What were his major contributions to category theory?