Recent content by SrVishi

  1. SrVishi

    Whiteboard Compromise: Long-Lasting Markers for Grad Students

    Hello, I am soon to be a graduate student in mathematics. I currently have a chalkboard (well, a whiteboard covered with chalkboard paint) and I very much like it. I think chalk is fun, and I am particularly fond of how long chalk will last. The problem is that I have a laptop, on which I have...
  2. SrVishi

    Admissions Math Major Struggles with GRE Despite High GPA

    Hello. I'm a senior mathematics major at the liberal arts honors college of Florida Atlantic University. I have ~3.96 GPA, and was hoping to apply to math departments with either a string algebra program or strong logic program (more of the latter). Unfortunately, my standardized test taking...
  3. SrVishi

    Programs What field am I describing?

    Would universal algebra really be what I'm looking for, more than category theory?
  4. SrVishi

    Algebra Categories for the Working Mathematician

    Well, here are more details on my current situation. I am taking a directed independent study in Category Theory. My professor (he is one of the few calling it outdated) wants me to use the book Category Theory: An Introduction by Herrlich and Strecker. I am aware that these authors have another...
  5. SrVishi

    Algebra Categories for the Working Mathematician

    Hello. I am about to start learning category theory. I keep hearing mixed opinions on the book Categories for the Working Mathematician, by Sanders MacLane (I am aware he is one of the founders of the theory). Some say it's a "must read", and others have called it "outdated." What would seem...
  6. SrVishi

    Principles of Mathematical Analysis by Walter Rudin

    This is actually a fantastic thing do do with really any subject; read multiple books, even side by side. It's good to see a subject treated a little differently, and for newer students, its good to see how an easier book can be "translated" into more rigorous and terse forms this way. Also even...
  7. SrVishi

    Algebra Algebra: Lang vs Bourbaki Comparison

    Cool, I think I can also borrow Aluffi's text. Does Aluffi cover as much as Lang? Might have forgotten to specify, by I wanted a book that could (to the best of its ability) cover as much as possible.
  8. SrVishi

    Algebra Algebra: Lang vs Bourbaki Comparison

    I just want a complete treatment of abstract algebra, to make the transition to grad school easier as I graduate in a year (I'm becoming a senior in the fall). I had two courses in undergraduate algebra, though I have no problem with tough levels of rigor and terseness from my self study habits...
  9. SrVishi

    Algebra Algebra: Lang vs Bourbaki Comparison

    Hello, I have access to both Algebra (the graduate one) by Lang, and the series of Algebra Chapters 1-7 by the Bourbaki group. I am okay with Lang's style and all, and I am aware that he was in the Bourbaki group, but I was wondering what is considered the better of the two. Thanks in advance.
  10. SrVishi

    Programs What field am I describing?

    Thanks for your response, I was going to look into category theory anyways, but now I have even more motivation to do so! I was wondering if recursion theory also fit the bill, or maybe I should just stick with category theory. Thanks again for the help.
  11. SrVishi

    Programs What field am I describing?

    Hello everyone. I'm having some trouble deciding on what field I should pursue in graduate school. I really like any branch of math, but I'd have to say that both mathematical logic (and meta-mathematics in general) and abstract algebra might have to be my favorites. I am also interested in...
  12. SrVishi

    Discrete Rigorous Combinatorics Book

    Hi, I am trying to find a completely rigorous book on combinatorics. For example, one that states the sum and product counting principles in terms of set theory and proves them, treats permutations as a bijection from a set onto itself, etc. Many don't even explain the reasoning behind those...
  13. SrVishi

    Prob/Stats Which Advanced Math Courses Prepare a Math Major for Statistics?

    Hello, I am looking to learn statistics. What would be a good rigorous statistics book for someone who is completely comfortable with proofs?
  14. SrVishi

    Other Proof Tips for Math Majors: Logic & Techniques for Real Analysis

    Every math major eventually learns logic and standard proof techniques. For example, to show that a rigorous statement P implies statement Q, we suppose the statement P is true and use that to show Q is true. This, along with the other general proof techniques are very broad. A math major would...
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