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It's also crucial to ask people questions and explain things to people — both of these are great ways to learn stuff. Nothing beats sitting in a cafe with a friend, notebooks open, and working together on a regular basis. Two minds are more than twice as good as one! But if you can't find a friend in your town, there are different ways to talk to people online. In all cases, it's good to spend some time quietly getting to know the local customs before plunging in and talking. For example, trying to start a rambling discussion on a question-and-answer website is no good. Here are some options: Question-and-Answer Websites — If you've got physics questions, try Physics Stack Exchange. For research-level questions, try Physics Overflow. For questions about math, try Math Stack Exchange, or for research-level questions, Math Overflow. Discussion Forums — To get into discussions of physics, try sci.physics.research. For math, try sci.math or, for research-level questions, sci.math.research. I also recommend Physics Forums for both math and physics discussions. At least some of the question-and-answer websites listed above also have community forums where you can discuss things. John Baez
No book is perfect and therefore it is inevitable that readers get stuck somewhere. That's why it's often incredibly helpful to read the thing the authors wants to express formulated in different terms. Sometimes such alternative formulations exist in the form of reading notes, which are notes that someone took while reading the book. Here we collect such notes and in addition, solutions for textbook problems and answers to frequently asked questions.
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Supervisors
There are several different types of supervisors.
An example of this last supervision style is described in the following quote:
In the 1930s Kemmer had been a research student of Wolfgang Pauli, an overpowering Austrian theorist who had given him such a tough problem to investigate that Kemmer had nearly given up theoretical physics there and then. This experience had scared him so much that, to protect students from a similar fate, he was reluctant to suggest any problems to them at all. Instead, he recommended that they read the literature and find something for themselves.
page 21 in The Infinity Puzzle by Frank Close
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\begin{equation} f(x)=e^x \end{equation} # Further text...
Further Tips