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 Apr14 comment Book recommendation for Abstract Algebra how do we not yet have a community wiki for such posts for all major topics / levels. Apr5 comment Differential Equations (Undetermined Coefficients) dont forget to solve the homogeneous problem first! Mar29 answered Solution of the parabolic equation $u_t=(axu)_{xx}-((bx+c)u)_x$ Dec21 awarded Constituent Dec21 awarded Caucus Oct8 asked Why study physical differntial equations in$\mathbb{R}^n$ Sep27 awarded Yearling Aug19 comment Going Back to Grad School After Being Away from Math Well a very popular one these days seems to be Stewarts book which is quite enormous, though fairly thorough. Spivak has a book that I havent read yet but have heard great things about. As i understand it it would also serve as a bit of a primer for analysis which could be quite useful for you. Aug19 answered Going Back to Grad School After Being Away from Math Aug13 accepted Decreasing function Mean Value Theorem proof Aug13 revised Decreasing function Mean Value Theorem proof texed the problem and attempt Aug13 asked Decreasing function Mean Value Theorem proof Aug12 accepted Showing a basis exists for a particular transformation Aug12 comment Showing a basis exists for a particular transformation Its a problem I encountered while studying for a qualifying exam, Its possible the question is outside of the scope of what Ive learned so far. I know of Jordan Form but have never used it. Aug12 comment Showing a basis exists for a particular transformation I dont know of minimal polynomials but am interested in how they help show that the transformation is diagnolizable. In short, I know very little about testing if a matrix is diagnolizable Aug12 comment Showing a basis exists for a particular transformation I understand that this projection transformation works as you propose, but what im missing is how I know that such a basis exists? it seems obvious to me that if it exists...this is the one it should be. Aug12 asked Showing a basis exists for a particular transformation Aug9 comment AB=AC=I $\rightarrow$ B=C Though this is useful, I think a user asking a question about RREF and existence of inverses wont be familiar with ring isomorphisms and linear maps and that this terminology is more likely to confuse rather than to help Aug5 comment Uniform Convergence verification for Sequence of functions - NBHM We are interested in showing that the sup($f_n$) converges to 0. Thus we take the derivative of $f_n$ with respect to $x$, and see that the max occurs at $x_{max} = 2/n$. Then $f_n(x_{max})$ has a slightly different value than the one you proposed. Aug4 comment Uniform Convergence verification for Sequence of functions - NBHM It makes little difference in your analysis but for the $f_n(x)=n^2x^2e^{-nx}$ problem, I think that the max occurs at $x = 2/n$