Don't know what to make of these notes. A bit of a kitchen sink. And too brief for learning the materials.
Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]
31–35 of 35 posts
Re: Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]
#32Re: Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]
#33Earlier quoted context omitted.
Except for the “borderline mathematics” parts of computer science (algorithms, PL semantics, etc.), the scientific rigor in CS publications is much, much, much lower than in math or physics publications. Scientific progress is to be measured in terms of advances in human understanding, not in number of publications, our current “publish or perish” culture notwithstanding.
Again, if you want to coast, collect grade inflated Bs and Cs, you can do without much rigor. If you want As and are ambitious, you have to master both CS and related math. Publish or perish is terrible, I agree; if you focus only on super hard high risk problems that might advance humanity, you'll get kicked out of university in no time. And as a professor, 90% of your time will be spent on chasing grants.
Re: Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]
#34I wonder where is topology used in comp sci other than computer vision (?) ?
Tangentially, it is a great topic to learn in general for those with a math interest and a bare minimum requirement for any higher math learning.
Re: Algebra, Topology, Differential Calculus, and Optimization Theory for CS [pdf]
#35I wonder where is topology used in comp sci other than computer vision (?) ?