Recent content by mruncleramos

  1. M

    Vector Quotient Spaces

    and the line comes from the vector definition of line.
  2. M

    Vector Quotient Spaces

    oh oh oh i see now. thanks
  3. M

    Vector Quotient Spaces

    Then i think my conception of adding vectors is incorrect. If i think of vectors as directed line segments, i cant think of a way to add vectors on the x-axis to other vectors to get something parallel.
  4. M

    Vector Quotient Spaces

    But if you add a vector to the x-axis, how can that be a line parallel to the x-axis. More importantly, what is an element of the x-axis? Is it just a point?
  5. M

    Vector Quotient Spaces

    I'm having a bit of trouble seeing Vector Quotient Spaces. Lets say I have a vector space $V$ and I want to quotient out by a linear subspace $N$. Then $V/N$ is the set of all equivalence classes $[N + v]$ where $v \in V$. For example, let me try to take $\mathbb{R}^{2} /$ x-axis. This...
  6. M

    Spivak calculus on manifolds solutions? (someone asked this b4 and got ignored)

    I've come to realize over time that it is better not to have a solutions manual.
  7. M

    Cal vs Chicago

    Hello, I am currently a high school student and I have been accepted into both UC Berkeley and the University of Chicago. I plan to major in math or physics, but I have no idea which college I want to go to. From what you know of their undergraduate mathematics or physics programs, which...
  8. M

    Really challenging IQ test

    IQ is the stupidest thing I have ever seen. What is it supposed to measure again?
  9. M

    Putnam Exam Prep Questions

    I use my extraordinary power of teleportation to get out.
  10. M

    Hey guys i need help in matrix

    I can help you. All you need is to move those things around and apply those theorems.
  11. M

    What the heck?

    Hm, I've already discovered mathematical and physical fallacies in his argument. Some people just can't do algebra i guess.
  12. M

    What the heck?

    This site was linked at the top of the physics forums website. I guess everybody has freedom of speech. Do people just get a kick out of proving Einstein wrong?
  13. M

    Fields and new operations

    This problem comes from Halmos's Finite Dimensional Vector Spaces. Given that we can re-define addition or multiplication or both, is the set of all nonnegative integers a field? What about the integers? My thinking is that since the Rational numbers form a field, and they are countable, we...
  14. M

    Goursat and Analysis

    My library limit for Goursat's book(s) is dwindling down rapidly. Does anyone know where I can get a new copy? I hear dover had them before.
  15. M

    Goursat and Analysis

    Has anyone read Cours d'analyse mathématique (Course in Mathematical Analysis)? If you have, do you find some the the problems just a might challenging? I've found that this is pretty characteristic of books of that time period. Why have problems in textbooks today gotten so much easier?