Modified: Sunday, 10Jan2021     Printed: Friday, 22Jan2021
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:

## Resources on The Web

#### Algebrish stuff

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.

: .

### 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 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 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 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.)