Chicago undergraduate mathematics bibliography

http://www.ocf.berkeley.edu/~abhishek/chicmath.htm?resubmit=hn

by Tomte • 11 years ago

80 14 11 years ago

ocf.berkeley.edu

DavidSJ• 11 years ago

Recent discussion on /r/math: https://www.reddit.com/r/math/comments/3dbcfm/chicago_underg...

tokenadult• 11 years ago

The Reddit discussion includes a comment by the original author of the bibliography.

therobot24• 11 years ago

Janusz, Calculus
The worst calculus book ever written. This was the 150s text in 1994–95; it tries to give a Spivak-style rigorous presentation in colorful mainstream-calculus-book format and reading level. Horrible. Take a look at it to see how badly written a mathematics book can be.

Pretty scathing review.

mzs• 11 years ago

It really is a horrible text-book, Chris and/or Marci showed me once. Fortunately my class used Spivak instead.

Ivanov2• 11 years ago

I think this list could use some updating. Most books on the list are super old. Also, from cursory look, there appears to be only one book on discrete math in Intermediate. There are tons of discrete math books that should serve as stepping stones for the one listed. For example, Discrete Intro to Math by Edward Scheinerman and Discrete Math by Susanna Epp.

Tomte• 11 years ago

Old books aren't bad, in fact, it's rare that new books are much better than the very best of the old books.

The Reddit discussion linked in another comment yields an updated Github repository, but a cursory glance didn't come up with any big changes.

Re: your Discrete Math complaint; if the author (and his friends, there were very few reviewers involved) didn't specialize in Discrete Math, then it's not surprising that somethign is missing. In fact the author actually explicitly says that the list is incomplete and which his specialties were.

Ivanov2• 11 years ago

I am not really complaining about Discrete Math. The book listed in Intermediate is fairly/horrendously difficult for someone who hasn't seen elementary treatment of the subject before.

Also, there are newer books of comparable quality to old classics like Algebra by Birkhoff/Maclane. If nothing, they have updated prose. Chapter 0 by Aluffi is phenomenal, for example.

pakled_engineer• 11 years ago

List was last updated in 1999 so missing good books like Sussman's Functional Differential Geometry where you convert formulas into programs.

yummyfajitas• 11 years ago

Of the fields I know well, this book is pretty good. It would certainly not hurt to add new topics (high but finite dimensional vector spaces, computational harmonic analysis, statistics), but for the specific topics covered this list is excellent.

tomku• 11 years ago

It's actually on Github[1] now, updates would probably be welcomed.

[1] https://github.com/ystael/chicago-ug-math-bib

donovanr• 11 years ago

Have to rep for my favorite math text that pretty much no one else has heard of: Ray Mayer's Introduction to Analysis [1]. It's rigorous, compellingly readable, and accessible to college freshmen. It was never published commercially, but decades of students where I went to school have been delighted by it, tortured by it, or both.

[1] http://people.reed.edu/~mayer/math112.html/index.html

black_knight• 11 years ago

Recommending Maclane as the only book on Category Theory is a bit rough. I would add «Conceptual Mathematics» by Lawvere to the elementary list to be prepared.

wdr1• 11 years ago

I miss Eckhart. It was a great place to study.

gtani• 11 years ago

+1 (tho i was never an undergrad, or a math major)

Chicago undergraduate mathematics bibliography

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