Modified: Tuesday, 02Aug2016 Printed: Wednesday, 23Jan2019

Page: http://squash.1gainesville.com/Include/thispage.shtml

Footnotes

The Teaching Page has a wealth of information, such as

, for students in all of my courses.

Books to inspire a love of Mathematics

For your reading pleasure, I've listed some excellent books/journals. Almost all of them are in UF's Marston Science Library. Many will be in your Public Library back home (especially the books by Honsberger and by Eves). [Below, symbol №5 means No.5, number 5 in a series.]

Two famous books by Polya: How to solve it and Mathematics and Plausible Reasoning.

Littlewood's miscellany, B. Bollobas, QA7 .L75.

Ian Stewart has written many good books (titles forthcoming).

Mathematical Circles (Revisited, Squared) - Howard Eves.

Fantasia Mathematica and The Mathematical Magpi - Clifton Fadiman.

Mathematical Plums, Ross Honsberger QA7 .M34447. Also Mathematical Gems (I,II,III), QA241 .H63, and Mathematical gems from elementary combinatorics, number theory, and geometry. Published and distributed by the Mathematical Association of America, 1973, (Dolciani mathematical expositions, №1), 510.8 D662.

Courant and Robbins What is Mathematics? (I believe that the paperback version has this subtitle: An Elementary Approach to Ideas and Methods).

A wonderful article: What To Do When the Trisector Comes, Underwood Dudley, The Mathematical Intelligencer, Vol.5, №1, p.20, (1983), QA1 .M38.

AUTHOR: Khinchin, Aleksandr IAkovlevich, 1894-1959. UNIFORM TITLE: Tri zhemchuzhiny teorii chisel. TITLE: Three pearls of number theory CALL NUM: 512.81 K45tEb 1952.

A Problem Seminar, QA43 .N43.

One hundred problems in elementary mathematics, H. Dorrie, Dover Publ., 510 D716tEa.

Challenging Mathematical Problems With Elementary Solutions, by Yaglom and Yaglom. IAglom, A. M., 345 Y12nE.

J.V. Uspensky has a nice book, Theory of Equations. It primarily concerns polynomials and their roots. It starts at an elementary level and has lots of elementary proofs. By the end of the book, it has gotten to symmetric polynomials. It is a good book for self-study.

Grants / Honors Thesis / Employment

The Mathematics Dept's Info for undergraduates has a wealth of opportunities (e.g, links to NSF grants). I have-been (or am-currently) involved in some of the following:

Students who wish to write an Honors Thesis (see Graduating with Honors (pdf)) with me, should contact me no later than the beginning of the semester before their graduation-semester.
Robert Long Prize (2016) is an essay competition open to all UF undergraduates and graduate students.
Putnam Competition. See past problems and solutions.
Occupational Outlook Handbook.

Typesetting mathematics: TeX/LaTeX/ps/dvi

You can obtain TeX/LaTeX, and read tutorials at CTAN, The Comprehensive TeX Archive Network with its Really Useful FAQ. The corresponding Usenet forum is comp.text.tex where expert help beginners. See also Engineering: Text Processing using LaTeX for many resources.

The Not So Short Introduction to LaTeX (pdf) is quite good.

The Wikibook LaTeX gives an overview.
Draw a symbol on the “Detexify2: LaTeX symbol classifier” webpage, and it will attempt to find its TeX name in the symbol list.
There is an extensive list of TeX-related Publications at the AMS (American Mathematical Society); most are free and online. Here is a similar list with capsule reviews.
See also the LaTeX project site .
Here is an example of a LaTeX source file (.tex) [have your browser download this as a plain ASCII text file], and its output when compiled by LaTeX (pdf).

A second example of LaTeX (.tex) [download this as a plain ASCII text file], and its LaTeX-compiled output (pdf).
See LaTeX Links. See NASA: Hypertext Help with LaTeX.
More specialized info: J. Milne's Guide to commutative diagram packages.
A link to a free online book by Victor Eijkhout: TeX by Topic, A TeXnician's Reference. This technical reference is not for LaTeX-users, but is rather for programmers who want to write complex TeX macro packages.

Resources on The Web

Printable graph paper from public sources

Online Graph Paper. Good; has some advertising. I've downloaded some pdf files for quick printing:

Beehive hexagon graph paper: hexpaper.5.pdf, hexpaper.3.pdf, hexpaper.2.pdf. Also tumblingblock.pdf,
Triangle and square graph paper: trianglepaper.6.pdf, trianglepaper.4.pdf. squarepaper.pdf.
Dot-arrays, triangular and hex: triangledots0.4.pdf, hexdots0.25.pdf.

Algebrish stuff

Finite Simple Group Of Order 2.

Glossary/Abbrevs	Math abbreviations
WLOG: Without loss of generality. (WELOG: Without essential loss of generality). FTSOC: For the sake of contradiction. TFAE: The following are equivalent. ISTS: It suffices to show. OTOHand: On the other hand. wrt or w.r.t: with respect to. : .	Posint: Positive integer, a member of {1,2,3,...}. Negint: Negative integer ; in {..., -3, -2, -1}. Natnum: Natural number, a member of {0, 1,2,3,...}. Posreal: Positive real number. Negreal: Negative real. Fnc: function. Cts: continuous; cty: continuity. Poly: polynomial. Coeff: coefficient. zip: the zero-poly; each of its coeffs is zero. Elt: element. Pt: Point. Ptn: Partition. Thm: Theorem. Lem: Lemma. Prop'n: Proposition. Coro: Corollary. CEX: Counterexample. Defn: Definition. by hyp.: by hypothesis. : .

Glossary/Abbrevs

Math abbreviations

WLOG: Without loss of generality. (WELOG: Without essential loss of generality).
FTSOC: For the sake of contradiction.
TFAE: The following are equivalent.
ISTS: It suffices to show.
OTOHand: On the other hand.
wrt or w.r.t: with respect to.
: .

Posint: Positive integer, a member of {1,2,3,...}. Negint: Negative integer ; in {..., -3, -2, -1}. Natnum: Natural number, a member of {0, 1,2,3,...}. Posreal: Positive real number. Negreal: Negative real.

Fnc: function. Cts: continuous; cty: continuity. Poly: polynomial. Coeff: coefficient. zip: the zero-poly; each of its coeffs is zero.

Elt: element. Pt: Point. Ptn: Partition.

Thm: Theorem. Lem: Lemma. Prop'n: Proposition. Coro: Corollary. CEX: Counterexample. Defn: Definition. by hyp.: by hypothesis.

: .

Navigation

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Gecko	Firefox (FF). Thunderbird. Seamonkey. Camino. Galeon [gone].
Webkit	Safari. iCab. (Google) Chrome. OmniWeb. Real Player. Epiphany.
KHTML	Konqueror. [Webkit is a fork of KHTML]
Presto	Opera.
Trident	Internet Explorer (IE).

(Henceforth, I may use “browser” in place of “engine”, since everyone knows the name of his browser.)

My pages have LINK REL attributes, (e.g, to Index, TOC, Up, Help,…) and some browers can display them:

Opera uses Menu: View -> Toolbars -> Navigation bar.

iCab uses Menu: View -> Standard Links Toolbar.

Into FF you can install addon “Link Widgets” (“Site navigation bar” seems defunct)

There are Access keys for my pages. Below, to “hit” a key means to depress it, then release it and all modifier keys. For example, to use key “n” to visit Navigation:

On MacOS:

  FF:
  Depress CTRL (or CTRL+ALT; see (**), below),
  then hit n.

  Safari, iCab,
  Chrome, OmniWeb,
  Real Player:
  Depress CTRL+ALT, then hit n.

  Opera:
  Depress SHIFT, hit ESC [a temporary menu pops-up], then hit n.

On SunOS:

  FF:
  Depress ALT, then hit n.

On Linux:

  FF:
  Depress SHIFT+ALT then hit n.
  [Configurable, untested.
  Try also CTRL-SHIFT-n and ALT-n.]

  Konqueror:
  Hit CTRL, then hit n.  [Untested]

On Microsoft-OS:

  FF:
  Depress SHIFT+ALT, then hit n.

  IE:
  Depress ALT, hit n, then hit ENTER.  [Untested]

Global accesskeys (e.g, use a or A for articles) for my pages: JK focus Articles Fonts
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** In FF, the accesskey-prefix can be set in about:config by changing the ui.key.contentAccess value. The bits in this integer are: 8(Meta) 4(Alt) 2(Ctrl) 1(Shift). On Mac, the default was 2 (Ctrl), but was changed to 6(Alt+Ctrl).

Synonyms on Mac keyboards or in terms used in documentation: Alt=Option. Meta=Cmd=Apple key, this keytop has the cloverleaf symbol.

Homework/exam guidelines

Your write-up (WU) is securely stapled, (not folded over, not paper-clipped, not chewing-gummed!) so that no pages will fall out, even with repeated handling. The staple(s) and margins should be such that I can easily read everything, on front and back pages, without taking your WU apart.
Do not use = for "is defined to be"; use := instead. Use an equal sign only for asserting equality between two already defined quantities.
When your write-up is in essay form (that is, except when your soln is a pure computation) write only every third line, so that I have room for comments.
Write large and legibly, with your name clearly visible. (It doesn't need to be beautiful -it needs to be readable.)
Write page number, then problem number. Specifically, number problems as #2P26. (Problem 2 of page 26.)

Please do not restate problems from the textbook; simple write a solution to the problem. In contrast, for the E-problems (the spur-of-the-moment Extra problems that I make up) that you hand in, start by carefully stating the complete problem.

For serious end-of-semester extenuating circumstances, the proverbial Math Dept. Policy on Incomplete Grades, possibly comes into play.

Have a Complaint?

(For genuine complaints, please come speak with me; I will do my level best to accommodate you. Conversely, if you are in the mood for jocular complaints…)

Why not use Scott Pakin's complaint-letter generator? You can automatically generate a 2 paragraph complaint about Prof. King Actually...I don't wear a tie. with a single click. If you are really angry, three paragraphs is a snap. (To get a new screed, just refresh the page.)

You can complain about yourself, if so inclined, but it'll likely be funnier if you fill-in the appropriate data at the complaint generator.

In addition to RateMyProfessors (linked from my Teaching Page) here are other sites that rate me, as of April2011:
In contrast, this site, yclept Koofers Actually...I don't wear a tie.

shows several of my courses, but lists only one rating, for Calc3 –which I last taught in 2003. (Seeing as Koofers was founded in 2008, I suspect the rating is for a course taught by someone else. Who knows? –the site won't let me read the rating.)
While UF's site Actually...I don't wear a tie.

doesn't have comments, it does have numerical data. I seem to get higher rankings in more advanced courses, and more recent courses. (Some written comments, for the prof.)

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