Arcwise connected vs. path connected
I've been reading An Introduction to Algebraic Topology by Andrew Wallace. His definition of an arcwise connected space is: a space in which there is...
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I've been reading An Introduction to Algebraic Topology by Andrew Wallace. His definition of an arcwise connected space is: a space in which there is...
Sorry for the lack of notation but the work should be easy to follow if you know what you are doing. Okay my problem is that the book says it can be done ...
Are there parabolic and elliptical functions analogous to the circular and hyperbolic functions $\sinh, \cosh$, and $\tanh$? Also, in matters of conic sec...
Calculate the multiplicative inverse of $5$ in $\mathbb{Z}_{12}$ using euclidean algorithm. I think I got it but the end is a bit confusing, how to know w...
I used to think that commutativity and associativity are two distinct properties. But recently, I started thinking of something which has troubled this id...
How to determine the equation of plane which passes through the origin and contains the line x = 2+3t , y = 1-4t, z= 6-t. I set t = 1 and t = 0 to find th...
The epsilon-delta definition of continuity: A function $f(x)$ from $\mathbf{R}$ to $\mathbf{R}$ is continuous at point $x_0 \in \mathbf{R}$ if for every $...
I don't have much (good) math education beyond some basic university-level calculus. What do "analytical" and "numerical" mean? How are they different?
I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics: calculus; analysis; abstract algebra; linea...
Can anyone help me out with wether my assumptions are correct with the coefficient of $x$ in the following expressions: $$ 17 - 6x^2 + 2x $$ I would say t...