About

The stuff on this site can be considered a full roadmap of detailed mathematical content, like an ebook, starting at a first-year undergrad level onwards -- sort of like a complement to Khan Academy, or a repository of important insights in and motivations for stuff in mathematics and physics.

The idea is to cover the different possible requirements you may have while understanding something -- if we have a course on quantum mechanics, it will ideally neither be an "undergraduate-level" course or a "graduate-level course" -- we'll motivate the thing at an undergraduate level and use that to inspire important formalisations at a graduate-level. If you just want a brief motivation for a topic, skim through some articles on it and develop the theory yourself. If you're stuck on trying to figure out why a specific object is important, or what it really represents, find the relevant article and you'll probably find a sensible motivation for it.

Perhaps eventually we can adopt a system of "collapsible text boxes" like on Wikipedia to cover these sorts of requirements readers might have -- having boxes for e.g. the insightful, rigorous, computational and historical "aspects" of the topic of an article.

Credits: All content created by me, Abhimanyu Pallavi Sudhir. Software attribution:

• Runs on free Blogger software offered by Alphabet, Inc. (aka Google)
• Widgets used: Blogger Random customisable feed widget

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Check out

My posts on other sites

• Programs (via processing.js on Khan Academy)
• Stackexchange posts (math, physics)
• Youtube channel (Abhimanyu Pallavi Sudhir)

Recommended resources

• Forums -- PhysicsOverflow, MathOverflow, Physics Problems, Open Science QA
• More forums -- Physics.SE, Math.SE, Quora -- check out CR Drost, Mitchell Porter, Mark Eichenlaub, Ron Maimon
• Wikis etc -- The Tangent Bundle (physics, math), The Physics Travel Guide
• Individual blogs -- 't Hooft ("good theorist" guide), Lubos Motl: The Reference Frame, Warren Siegel, Hammock Physicist
• Educational sites -- MathView, 3blue1brown, MathTheBeautiful 

References and tools

• Cool references
• Quartic equation flowchart (source)
• Mathematics trench (source)
• If great mathematicians had logos (source)
• Handy tools
• Tables generator -- editor for HTML, LaTeX, MarkDown, MediaWiki tables
• Inverse Symbolic Calculator -- give it a numerical value and it will guess the expression
• MathCHA.io -- online math/physics diagram software (desktop version also)

Specific textbook recommendations can be found on the related module pages.