Recent content by Pjennings

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    Theoretical Physics (and Math) genius cult

    I think it is a lot easier for a lay person to look at the works of Hesse and understand them because Hesse used language to convey his ideas; however, if they were to look at the work of a physicist or mathematician they would be less at home with the mathematical symbols and reasoning being used.
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    What Graduate Schools Can I Get Into for a Math PhD?

    As of right now I have two professor who will write me letters of recommendation. I have taken two classes with one, both of which I got A's in, and the second is advising me on my independent studies and my honors research.
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    What Graduate Schools Can I Get Into for a Math PhD?

    I am currently a senior at an American university and I intend on going to graduate school after finishing my final year. My current GPA is 3.73, but assuming I get straight A's my last two semesters when I graduate I could have a GPA around 3.85. Furthermore, I am a TA for the introductory...
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    How to Prove |G:H| = |G:K||K:H| for Quotient Groups?

    As a way to keep busy in between semesters I decided to work my way through Algebra by Dummit and Foote in order to prepare for the fall. Working my way through quotient groups is proving to be quite difficult and as a result I'm stuck on an exercise that looks simple, but I just don't know...
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    Learning calculus over the summer

    Depending on if you are going to continue your studies in mathematics you should consider Calculus by Salas Hille and Etgen because, not only does it provide detailed solutions to problems, but it also helps you to become accustomed to proving things.
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    Need a good book on the theories of Calculus

    I'm referring to both volumes. Try looking around on other website because the book is hard to find, but well worth it.
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    Need a good book on the theories of Calculus

    Have you looked into Analysis by Tao?
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    Proving the Intersection of Closed Sets is Closed | Homework Solution

    Homework Statement Show that the intersection of two closed sets is closed. Homework Equations The Attempt at a Solution Let X and Y be closed sets i.e. X and Y are equal to their closure X_ and Y_. Then X\capY is equal to X_\capY_.
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    A very simple U-sub is wrecking my brain

    You could do the problem using a u substitution, it's just easier to use the trig substitution.
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    A very simple U-sub is wrecking my brain

    Have you thought of trying a trig substitution?
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    Quotient criteria and the harmonic series

    If you are looking to establish the divergence of the harmonic series try using the integral test.
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    General Equations for Certain Volumes of Revolution

    The volume of a cone = 1 - B H where B is the base of the cone and H is its height. 3 We can think about a cone as the line y = x rotated with respect to the y axis. The...
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    Help with Giant Hersey Kiss problem

    Just out of curiosity, why do you want to know the volume of a Hershey Kiss?
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    Prove volume of a torus equation

    Have you considered using Pappus' centroid theorem?
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    Is Gamma Irrational? Investigating the Irrationality of Pi and e

    No, we do not know if pi+e is irrational, but I don't think that one is very interesting. I think it would be interesting to know if γ(gamma) is irrational though.
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