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  1. n.karthick

    What is the largest number less than 1?

    What about in the set of rational numbers Q which is countable
  2. n.karthick

    Points on a circle.

    Let me give you hints The well known relationship is d=r\theta You know d and r, so you can find \theta Now let us assume the circle is centered at origin and given point is on +ve x axis (r,0). So x1=r y1=0; Now x2= r cos\theta and y2=r sin\theta Also in this case x3=x2 and y3=-y2 From...
  3. n.karthick

    Mathematics Conventions and Rationale

    For example, the conventional current direction flowing in a conductor is opposite to the direction of flow of electrons. Though it is unreasonable, it is still in use, and always confuses the beginners (at least it confused me a lot) who learn electricity. We can't do much about conventions and...
  4. n.karthick

    Mathematics Conventions and Rationale

    When you say it is a convention it means that it is something which is widely accepted by the community and there is no need for any reason or explanation behind that. The mathematical conventions are like that to express mathematical operations without any ambiguity. I think, no need to worry...
  5. n.karthick

    Even or odd function

    Another approach is, you can plot your function as a graph for different values of x say from -10 to 10. Now you see the graph of f(x) , whether it is symmetrical about y axis. If you see mirror image of function about y axis it is even function and if you see negative reflection it is odd and...
  6. n.karthick

    Dividing by Infinity

    Hmmm, zero times infinity is not zero. That's why you got 1=0 wrongly!!!
  7. n.karthick

    Best Mathematics Books

    For Linear Algebra I would recommend you "Introduction to Linear Algebra" and "Linear Algebra and its applications" by Gilbert Strang