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A Course of Pure Mathematics (Cambridge Mathematical Library)
G.H. Hardy

Cambridge University Press, 1993 - 522 pages

average customer review:based on 18 reviews
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   highly recommended  highly recommended





Let's Not Go Overboard

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.


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Excellence is Timeless

The work of G.H. Hardy is now and always shall be important to anyone studying mathematics as a career or the sciences where mathematical thought precisely applied is of importance. This text is a must have for those of such a nature. Any quibbling that others may forward is simply jealous ego. Buy and use this book.









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Dated and verbose

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.


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A CLASSIC AND A MASTERPIECE.

If you want to know and share what is math, you have to read books like this. You have to know that math is about thinking and solving problems. But that's not all there is to it, you have to know that she's like a beautiful woman, she's about beauty, art and love. That's what a man who is in love would 'think' about his beloved one. That's what you'll say the moment you begin to understand math. You'll fall in love with her.

Federico Tejada

PS: You can change the pronouns to adapt it to your personal gender or orientation.
One thing else: Math is about doing it for yourself, not only reading what others did.





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reviews: page 1, 2, 3, 4



There can be few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.



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