Korner's Korner

I am very grateful to the splendid folks at the AMS for publishing A COMPANION TO ANALYSIS which may be ordered from the AMS bookstore or, we hope, your local bookshop for a mere $87 (even less if you are an AMS member). There is a collection of sketched answers to some of the exercises in Appendix K of the book at PS, DVI and PDF. A first list of corrections is given in PS, DVI and PDF. Eurospan distribute the book in the UK and Europe.

Next let me remind you that
** The Pleasures of Counting ** is still
available from all good bookshops.
Longer than
`With Rod and Line Through the Gobi Desert',
funnier than `The Wit and Wisdom of the German General Staff'
and with more formulae than `A Brief History of Time'
it was voted ** Book of the Year**
by a panel consisting of Mrs E. Körner,
Mrs W. Körner, Miss K. Körner and Dr A. Altman
(née Körner). The paperback has
ISBN 0 521 56823 4 and costs £46.
The hardback (ISBN 0 521 56078 X) is still available
at £70. If your local bookseller has failed
to lay in sufficient stocks
or you wish to participate in the information
revolution you may order directly
from CUP via
CUP's gleaming modern web site.

If you wish to read it in German then Michael Basler has produced a splendid translation under the title "Mathematisches Denken. Vom Vergnügen am Umgang mit Zahlen" (ISBN 3-7643-5833-5). (There is a list of corrections contributed by Stephan Stiller here.)

Those who feel that the book would make just about the same sense if written in Chinese now have the oportunity to verify their conjecture.

Corrections and additions for first reprint of `PLEASURES OF COUNTING': DVI PS PDF LATEX and ordinary html.)

Corrections and additions not in first reprint of `PLEASURES OF COUNTING': DVI PS PDF LATEX.

Mathematika says `A cracking good tale; buy it for your children and read it yourself.'

Zentralblatt says `politisch überkorrekt'.

Mathematics Magazine says `None of "introvert", "extrovert", nor "anchor" appears [in the index.]'

Computer Shopper says `a real gem of a book'

The Australian's Review of Books says `[a] generous bouquet .... [but] don't think ikebana here'

The last quotation is from one of two long reviews accessible via AMS Book (and other) Reviews.

On 23rd Nov 1998 `The Pleasures of Counting' was ranked number two on the Amazon list of most popular books on counting and numeration beating `The M&M's Brand Chocolate Candies Counting Book' into third place.

I have produced a rather simple
Pleasures of Counting home page.

However, the main purpose of this home page is to give access to the most recent version of various collections of well meant advice that I have produced.

The documents are available in dvi, ps, pdf and latex form. (pdf documents can be read using acrobat.)

- Applying for Cambridge Research Fellowships: DVI PS PDF LATEX
- Part III: DVI PS PDF LATEX
- How to write a Part III Essay: DVI PS PDF LATEX
- Supervising undergraduates: DVI PS PDF LATEX
- How to listen to a maths lecture: DVI PS PDF LATEX (For those who wish to read it in Dutch PDF with splendid illustration.)
- The Naked Lecturer, thoughts on giving lectures: PDF
- How to write an essay in an undergraduate mathematics exam: DVI PS PDF LATEX
- A first draft of some advice for students from overseas wishing to do a first degree in mathematics at Cambridge: DVI PS PDF LATEX
- A second edition (even better than the first) of an advice sheet by Mark Joshi for Maths PhDs thinking of going into finance (he says add `suitable disclaimers blaming him for anything in it' so I do): PDF
- A strongly recommended collection of advice from Terence Tao to young mathematicians. http
- A practice based M-level degree. DVI PS PDF LATEX
- A letter claimed to be by the Duke of Wellington. (An obvious spoof, I think, but if you can prove that it is genuine or know of an `unimproved' letter on which is based, please tell me.): DVI PS PDF LATEX
- Plot synopsis for Jaws: DVI PS PDF LATEX
- An illustration of lion hunting drawn by an Olympic silver medallist. PS
- Demonstrating the `boarding house reach' to a female admirer JPJ
- The Cambridge Festival of Ideas: PDF
- Delaware `The triumph of hope' PS
- Chirality of airport carouselspress
#### Great musical moments

- Ankh-Morpork national anthem. Music and words.
- Further proof of the innate superiority of Hungarians (requires knowledge of sorting algorithms). (If you are baffled by the the clip, here is a beginner's version.)
- Closely followed by
the French,
the Japanese
and
the Americans.
## Course Notes

### Courses presently given in the Tripos

Notes for the Part II course on Codes and Cryptography in DVI PS PDF LATEX. (There is a log of corrections in DVI PS PDF LATEX.)

Notes for the Part II course Linear Analysis in DVI PS PDF LATEX.

Notes for the Part II course Topics in Analysis. (Note that the lecturer has more flexibility in this course than in most, so topics may vary from year to year.) There are two sets of notes the first contains an account of the results DVI PS PDF LATEX, and the second contains proofs of the results DVI PS PDF LATEX. There is log of corrections (starting 1st October 2015, those with older notes should download the present version) at PDF

Notes for the 1B 'Topology and Metric Spaces' course. DVI PS PDF LATEX. There is a log of corrections at PDF.

My Part 1A Analysis notes in DVI PS PDF LATEX.

My Part 1A second half of the old course Algebra and Geometry (fairly close to the new course 1A Groups) in DVI PS PDF PS PDF LATEX.

My Part 1B Complex Methods (P3) notes in DVI PS PDF LATEX. (There are now new complex variable courses with different selections of material.)

My Part 1B Analysis (C9) notes in DVI PS PDF LATEX. These notes have been extended by Richard Johnson to include proofs in LATEX PDF. (Note that the analysis syllabuses have been rewritten since these C9 notes were written).

My rather old Linear Mathematics notes (WARNING the new syllabus contains substantially more.) DVI PS PDF LATEX

Next various Part III courses.

My 2010/11 Part III course Topics in Analysis in DVI PS PDF LATEX.

Notes for my Part III Topics in Fourier Analysis and Complex Variable course (2009/10) in DVI PS PDF LATEX,

Notes for my Part III Functional Analysis course. in DVI PS PDF LATEX,

Notes for my Part III Topological Groups course (note that the last part follows Rudin's book very closely) in DVI PS PDF LATEX,

Notes for my 2012/13 Part III Fourier Analysis course in DVI PS PDF LATEX.

Notes for my Part III Complex Variable course in DVI PS PDF LATEX,

Please note that my Part III notes are particularly error prone.

My IIB course on Partial Differential Equations (based very closely on notes by Joshi and Wassermann) in DVI PS PDF LATEX. (The course has now been completely rewritten.)

Notes on a course on a no longer existent Rings and Modules in DVI PS PDF LATEX.

Notes on a no longer existent Calculus and Methods course in DVI PS PDF LATEX.

Skeleton notes for an introductory course in Fourier Analysis given at the 2003 PCMI conference in DVI PS PDF LATEX. Solutions for some of the exercises for this course kindly contributed by Mihai Stoiciu DVI PS PDF LATEX.

Caveat emptor, these notes come without guarantees of any kind. All contain misprints and some (particularly the Part III notes) much worse things. Corrections are gratefully received.

If you have any problems obtaining these documents write to me at

DPMMS, Wilberforce Road, Cambridge CB3 0WB

and I will send whichever one you want by classical means. (Because of the interaction between my computer illiteracy and the constant modernisation of our computer facilities weird things occasionally happen. Please e-mail me if they do.)

I would be happy to receive comments and suggestions for improvements. I am particularly anxious for suggestions of possible sources of funding for Part III students.

You can e-mail me by pressing
SCHAZAM! or if that does not
work by using the address **twk@dpmms.cam.ac.uk**. My favourite
e-mail ends with the words `this message needs no reply'.

You may wish to go to the Faculty of Mathematics home page.

The guide to the University issued by the Administration begins by saying that the heart of the University `is a central administration team'. Later the guide informs us that the title of emeritus is a title applied `to a .... Professor ... who has retired after the age of sixty. ... the term is not conferred as a ... mark of distinction.' I am an emeritus professor.

I am also an emeritus fellow of Trinity Hall, but this position carries real advantages (to wit, access to good food and good company). During my time there I was fortunate to work with Tadashi Tokieda. Those of a romantic disposition are directed to A Valentine from Möbius. If you would like a statement of the college's admission policy for mathematics undergraduates, press here. (Of course colleges are always fiddling with their web pages so, if this does not work, google Trinity Hall and start from there.)

You have read the book and studied the pamphlets BUT NOW in glowing LMScolour you can watch the film (video actually). In response to overwhelming lack of demand the video of my lecture `Marrying, Voting, Choosing' is now available for the price of £10 including postage and packing (a reader writes `Worth it for the postage and packing alone') from the LMS, De Morgan House, 57-58 Russell Square, London WC1B 4HP. Be the first person on your street to have your own copy!

Or, if you are one of those who wants everything to be free you can go to Gresham College and watch me pontificating on `Mathematics and Smallpox' (a reviewer writes `Mathematics and Smallpox, what's not to like?').

`There is no limit to what people will believe if they see it on the internet' Alan Turing 1936.

If you believe that the OED contains every word in the English language, the following is a counterexample.