Suggest an Antique Math Book worth reading?

Question

I'm not a math wizard, but I recently started reading through a few math books to prepare myself for some upcoming classes and I'm starting to really get into it. Then I noticed a few antique math books at a used bookstore and bought them thinking that, if nothing else, they would look cool on my bookshelf. But as it turns out, I enjoy both reading and collecting them. I find myself constantly browsing used book stores, thrift stores, antique stores ect. looking for the next book to add to my library.

So do you know of an antique book that you found interesting, helpful, or historically relevant?

(Just some insight- some of the books I have that I like are: The Laws of Thought by George Boole; Mathematical Methods of Statistics by Harald Cramer; and Introduction to Mathematical Analysis by F.L. Griffin. I've also enjoyed reading online about probablity, logic, and math history. But any area of mathematics is fine as I'm still discovering which areas interest me.)

Answer 1

Of course the obvious choice will be "A Course of Modern Analysis" by Whittaker and Watson, Cambridge 1902. Some say it is this the BOOK (the only one) on real analysis.

You can find old copy of this book easily. I have an edition of the 40's and it looks great.

I have not seen the new edition but they say is done by photographing the old one and does not look good. The old one is amazing. It's difficult to know how they did all that in 1902 without latex. Some of the exercises of the book are ancient problems from Cambridge exams.

Answer 2

And then of course you could well find copies of G. H. Hardy's wonderful Pure Mathematics (first published in 1908), the first real maths book for generations of students, and still well worth looking at.

Answer 3

I think E.C. Titchmarsh's books (also Classical analysis) may not be much further behind.

Answer 4

Many old books can be found in pdf form online for free. I got Hardy's A Course in Pure Mathematics from here:

http://www.gutenberg.org/wiki/Mathematics_%28Bookshelf%29

Just scrolling through the authors is good in itself

Answer 5

There is a Dover edition of A Source-Book of Mathematics with translations of classic works like the Treviso Arithmetick from the 15th century.

Answer 6

Euclid's Elements, written about 2300 years ago, is certainly one of the most important textbooks of all time. It has been continuously in print since at least 1482.

It is very readable, and the subject matter is still current.

Answer 7

I Second Euclid's Elements (Green Lion Edition is nice; Byrne's edition mentioned above is beautiful.

There's also a Dover edition of The Works of Archimedes.

Green Lion also has a nice publication of Apollonius' Conics that is more accessible than Dover's edition of Archimedes.

Although I have far to go in both books, I also second Hardy's Course in Pure Mathematics, as well as Inequalities.

I love Geometry and the Imagination by Hilbert which is mentioned above. It's not too hard to find the German Anshauliche Geometrie as well as the English edition.

And, lastly, Casey's A Sequel to the Elements of Euclid (late 19th century). U. Michigan Libraries has a nice reprint.

Some books on my wishlist would be (as above) Cauchy's Cours d'Analyse, original works of Möbius, Omar Khayyam's early mathematical explorations, Pappus, Ptolemy ...

I have looked for some of the books on my wishlist, but have sofar located only prohibitively expensive copies.

Answer 8

What about Disquisitiones Arithmeticæ? There is at least one modern translation into English.

Answer 9

For a book that is not going to teach you any new math, but will give you a window into how a mathematical personality might think or act, I would recommend I Want to be a Mathematician by Paul Halmos. Quite a fun read, full of all of the joys and nuisances of being a high class working mathematician.

Answer 10

1. Men of Mathematics by ET Bell. Some of the stories are a little "juiced" according to historians but they are great fun! And pushed several great scientists and mathematicians into math careers. Is still in print in paperback (tiny print). I would look for a little larger print used version in hardback given how you like the appearance also.

2. This sounds a little strange, but I love both the look and self teaching and even the literal feel of the WW2 war manual math books. Very cheap on Amazon and very durable. Super suitable for self teaching with all the answers and more into training people than talking down (like modern books seem to). I actually used them in high school to accelerate. They are even super portable. Easy for the backpack whether you are at school or landing on Tinian or Saipan with the marines.

Here is a link to one, but see all of EM306, 307, 310, 315, 318, 321, 324 for the track from geometry to calculus. I think there is one on probability or maybe on investment math but I don't have that one.

https://www.amazon.com/College-Algebra-Department-Education-Manual/dp/B00AM3HS5A