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.
A COURSE OF PURE MATHEMATICS
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Book Description
Editorial Reviews
Book Description
Since its publication in 1908, this textbook has become a classic work for successive generations of student mathematicians to refer to for the fundamental ideas of differential and integral calculus, the properties of infinite series, as well as other topics involving the notion of limit.
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Most Helpful Customer Reviews
102 of 104 people found the following review helpful
Format:Paperback
This book is simply beyond any rating whatsoever. Giving 5 stars is to undermine the value of this classic.
The first time I got this book, I was neither aware of it not of its author. I just picked it up randomly from school library. From the contents I figured it was a book on calculus. I immediately searched for the proof that "every continuous function is integrable." This was the first book I encountered which had a rigorous proof of this.
Then I began reading the chapters sequentially thinking that this seems to be a good book on calculus. The book went much beyond my expectation and it satisfied all my mathematical curiousities. All the mysteries of calculus were revelaed. Hardy demystified calculus in the first chapter itself by creating reals out ot rationals.
The Dedekind's construction of reals as presented in this book is the best I have seen. The properties of reals were not stated as axioms (common approach in books on analysis) but rather deduced from those of rationals.
The concepts of functions, limits, continuity, derivative etc. were explained in a prosaic style which has no parallel. This was also my first book on maths which had far more english words than mathematical symbols.
After finishing the entire book I was wondering who was this guy G. H. Hardy who has written such a masterpiece.
Only a few months later I came to know that he was one of the greatest British mathematicians of the century and was responsible for making our Indian Ramanujan famous. After that I read most of his books including "A Mathematician's Apology" and "An Introduction to Theory of Numbers"
Any persons who thinks maths is dull should just read few pages from this book and I bet his old beliefs would be shattered.
The first time I got this book, I was neither aware of it not of its author. I just picked it up randomly from school library. From the contents I figured it was a book on calculus. I immediately searched for the proof that "every continuous function is integrable." This was the first book I encountered which had a rigorous proof of this.
Then I began reading the chapters sequentially thinking that this seems to be a good book on calculus. The book went much beyond my expectation and it satisfied all my mathematical curiousities. All the mysteries of calculus were revelaed. Hardy demystified calculus in the first chapter itself by creating reals out ot rationals.
The Dedekind's construction of reals as presented in this book is the best I have seen. The properties of reals were not stated as axioms (common approach in books on analysis) but rather deduced from those of rationals.
The concepts of functions, limits, continuity, derivative etc. were explained in a prosaic style which has no parallel. This was also my first book on maths which had far more english words than mathematical symbols.
After finishing the entire book I was wondering who was this guy G. H. Hardy who has written such a masterpiece.
Only a few months later I came to know that he was one of the greatest British mathematicians of the century and was responsible for making our Indian Ramanujan famous. After that I read most of his books including "A Mathematician's Apology" and "An Introduction to Theory of Numbers"
Any persons who thinks maths is dull should just read few pages from this book and I bet his old beliefs would be shattered.
66 of 69 people found the following review helpful
Format:Paperback|Amazon Verified Purchase
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.
39 of 39 people found the following review helpful
Format:Paperback
This book may be a little quaint. The terminology is a little out of date, e.g. "sequences" are "functions of a positive integral variable." It is marked by great organization and copious examples. What I appreciate most is the clarity and simplicity of the proofs. This is a great book for any serious student of real analysis prior to the Lebesque integral.
Most Recent Customer Reviews
Unreadable on Kindle
The book is unreadable on a Kindle. The symbols for the Greek letters, integral symbols, super/subscripts, etc., are converted to gibberish in the Kindle edition. Read more
Published 16 months ago by Greg Stewart
Great content
This book is really good. It's recommended for people who want to understand basics of Calculus. Everything gets demonstrated. For Self-taught. Read more
Published on December 12, 2008 by Andras Leal
Not the 3rd edition
This edition (Rough Draft Printing, (October 5, 2007), # ISBN-10: 1603860495
# ISBN-13: 978-1603860499) is not the 3rd edition of the text. Read more
# ISBN-13: 978-1603860499) is not the 3rd edition of the text. Read more
Published on March 14, 2008 by George Fischer
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. Read more
Published on February 26, 2008 by Federico B. Tejada
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... Read more
Published on February 11, 2008 by James P. Truesdell
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... Read more
Published on November 6, 2007 by Charles Saunders
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... Read more
Published on October 28, 2007 by Eric
An Enduring Classic
G. H. Hardy was one of the greatest mathematicians of the 20th century. When the first edition of this book appeared in 1908, it was the only comprehensive introduction to... Read more
Published on February 28, 2006 by William R. Franklin
Hard Core Math
This book is very hard core. I bought it to help with the math in Penrose's Road to Reality. Which is really hard core. Read more
Published on January 31, 2006 by Robert Donovan
1900 yrs from now....
...people will look at this like we look at Euclid's Elements today, it's just one of those immortal books. Read more
Published on April 12, 2004 by another reader
Inside This Book
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First Sentence:
1. Rational numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
explicit algebraical functions, positive integral variable, steadily increasing function, coaxal circles, quadratic surds, positive integral values, conjugate complex roots, oscillate infinitely, greatest member, conditionally convergent series, circular functions, largest prime factor, positive rational numbers, algebraical equation, infinite integrals, trigonometrical functions, denoting differentiations, integral test Key Phrases - Capitalized Phrases (CAPs): (learn more)
Bromwich's Infinite, Chrystal's Algebra New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
1. Rational numbers. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
explicit algebraical functions, positive integral variable, steadily increasing function, coaxal circles, quadratic surds, positive integral values, conjugate complex roots, oscillate infinitely, greatest member, conditionally convergent series, circular functions, largest prime factor, positive rational numbers, algebraical equation, infinite integrals, trigonometrical functions, denoting differentiations, integral test Key Phrases - Capitalized Phrases (CAPs): (learn more)
Bromwich's Infinite, Chrystal's Algebra New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
66
books
cite this book:
See all 66 books citing this book
- Advanced Calculus with Applications in Statistics (Wiley Series in Probability and Statistics) by André I. Khuri on page 16, page 126, and Back Matter
- Advanced Calculus with Applications in Statistics by André I. Khuri on page 14, page 126, and Back Matter
- What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant in Back Matter (1), and Back Matter (2)
- The Man Who Knew Infinity: A Life of the Genius Ramanujan by Robert Kanigel on page 153, and Back Matter
- Ramanujan: Letters and Commentary (History of Mathematics) by Bruce C. Berndt on page 32, and Back Matter
See all 66 books citing this book
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