I was asked to find good material on complex analysis, but i found better!
Check out this text, on arXiv, titled 'Complex Analysis and Riemann Surfaces: A Graduate Path to Algebraic Geometry'' by Gunhee Cho++ in 300+ pages.
You'll find out about complex analysis, Riemann surfaces, differential forms, Hodge theory, basic algebraic geometry, Jacobians and finally the Riemann Roch theorem.
This text has a very modern, computational approach, that many of you will appreciate!
🔗👇👇
Peter Scholze (left) and Dustin Clausen are undertaking an ambitious project to generate an entire new category of mathematical objects. Their work retains all of the best parts of topological spaces — without the drawbacks. https://t.co/bNMGJruyyz
This past semester I taught Multivariable Calculus (Calc 3) and recorded all my lectures. They can be found here! Hope this is useful to other students learning this material.
https://t.co/9V3h6PLxtJ
>buy a new math text
>you find it totally impenetrable
>makes no sense
>work hard, finally get it
>it’s all so beautiful and simple
>why didn’t they just explain it this way???
>write new text
>someone buys it
>they find it totally impenetrable
@TonyTheLion2500 Determinant! Consider two functors GL_n and ()* from the category of rings (commutative with identity) to category of groups. The functor Gl_n takes a ring R and sends it to the group GL_n(R). Other functor ()* takes a ring R and sends it to the group R*.
Akademisyene verdikleri maaşla “Oku, araştır, yaz, üret” demiyorlar aslında. “Bu işi yapma çek git diyorlar”. Akademiyi, üniversiteyi bu kadar değersizleştirmek; ülkenin geleceğini karartmaktır. Karanlığı sadece yarasalar sever.
Categories are an abstract mathematical concept that formalizes the idea of "mathematical structure". Many other areas of mathematics, such as sets, groups, and topological spaces (with their structure-preserving maps), are examples of categories.
#MathType#math#mathematics