2. Victor Guillemin & Alan Pollack – Differential Topology: This book takes a more geometric and intuitive approach, emphasizing transversality, intersection theory, and differential topology …

Jun 7, 2025 · Then one thinks of differential operators as a linear maps between such spaces. Often the space of all linear maps between two spaces is itself a vector space and so one can …

I am quite new to differential equations and derivatives. I want to derive an differential form for equation of an ellipse. If i start with an ordinary ellipse equation \\begin{equation} \\frac{x^2}...

Nov 3, 2016 · What bothers me is this definition is completely circular. I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. …

In my AI textbook there is this paragraph, without any explanation. The sigmoid function is defined as follows $$\\sigma (x) = \\frac{1}{1+e^{-x}}.$$ This function is easy to differentiate

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual …

I have a hazy notion of some stuff in differential geometry and a better, but still not quite rigorous understanding of basics of differential topology. I have decided to fix this lacuna once for ...

The set of solutions (scalar functions) to a linear differential equations is a vector space of dimention $n$, where $n$ is the order of your differential equation.

Aug 19, 2015 · Differential forms are things that live on manifolds. So, to learn about differential forms, you should really also learn about manifolds. To this end, the best recommendation I …

Explore related questions vector-spaces differential-topology differential-forms tangent-bundle co-tangent-space See similar questions with these tags.