Index
 | If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups. I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful. Which Springer GTM would you be? The Springer GTM Test |
Random non-mathematical objects I find useful or interesting
- Mark Fisher, Capitalist Realism: that's how I fell into the rabbit hole. I also suggest his other readings, but I advise to not be in a bad mood upon starting as it is not going to get better.
- Edward S. Herman and Noam Chomsky, Manufacturing Consent: this books explains why and how media manipulates public opinion in the US, and how they got there. Even though the media environment has greatly changed since the time it was written, I still find it an illuminating book.
- Christopher Wylie, Mindf*ck: written by one of the main minds behind Cambridge Analytica, this books provides some useful insight about how Brexit and all the rest happened.
- Ted Chiang, Stories of Your life and Others: simply a great collection of scifi short stories. If you like this, I suggest checking out Exhalation by the same author, and Greg Egan's works.
- Mastodon: an alternative social network, which in my humble opinion is much more interesting than the traditional ones (and there are no ads!). Some famous mathematicians moved to Mastodon at the time of the Great Migration from X-Twitter.
- Corey Doctorow's blog: a constant source of food for thought. This is, as far as I know, where the term "enshittification" was coined.
- Proton.me: a Swiss non-profit whose products (email, calendar and more) are centred around the protection users' privacy.
- European Digital Rights: a network of NGOs and experts keeping an eye on the state of digital rights in Europe, as the name says. If someone tries to enforce breaking of end-to-end encryption (a Medium article where you may find an explanation of what that means and what it entails) here you will be able to see it.