A Course of Pure Mathematics: Third Edition

First, this is very nice book that was first published in 1908. It is EXTREMELY well written BUT what Hardy does in around 500 pages Rudin does in around 100 and with a more rigor (but, admittedly, very terse). You also have to remember that if you are studying analysis from a book 100 years old there are a few things that have happened since then - like the "Incompleteness Theorem" and the development of forcing, along with a much more rigorous development of set theory, topology, complex and real analysis (I'm not even sure the idea of Lp measures was fully accepted then). Still, this is great book to have - if you can get a really good used copy for $20, please buy it and seriously look it over. But don't study it and think you can attack many of the problems which are now routinely assigned in advanced calculus/real analysis. Even grandpa had to keep up with the times.

This book is a classic, and deservedly so. It is comprehensive but not overloaded (like so many modern textbooks), crystal clear, well organized, rigorous. A wonderful text for teaching yourself higher math, which is how I am using it. But there is something beyond its didactic effectiveness that makes Hardy's work a must-have for anyone interested in math: This is a truly beautiful book, and working through it, while by no means easy, is an intellectual and aesthetic delight of the first order. Hardy is a genuinely elegant, subtle, incisive thinker, and his unbounded enthusiasm for his subject, duly controlled by British understatement, shines through every page. He conveys the irresistible, almost addictive quality of math.

This book is really good. It's recommended for people who want to understand basics of Calculus. Everything gets demonstrated. For Self-taught. I would rather recommend to rewrite the book. It seems to be scanned.

So far, I love it. Hardy's a genius and his conversational writing style is both clear and a pleasure to read. I bought this on the recommendation of a professor when I mentioned that I was interested in doing some self-study. When I sat down with it to look up a few specific topics and skimmed ahead, I found the writing so engrossing I wanted to read it cover to cover and attempt as many of the suggested exercises as possible.

Bought for my husband as a challenge and to add to his collection of material, as he’s not well-versed in Pure Mathematics, but has the desire to learn more about it. He loved the book. It is of high quality, packaged well and arrived timely.

It is a good book for collage students who are going to further their studies in Math at university level

Writing about analysis has come a long way since the days of Hardy. There are a number of modern books on the topic with clear, vigorous prose that is lacking in Hardy and provide better coverage. But to be fair, mathematics is a developing endeavor and you'd expect improvements during 100 years. Mostly a curiosity. I believe you can read it online for free.

Great book, but you need a good background in math to understand it.