Free PDF A Course of Pure Mathematics Centenary edition (Cambridge Mathematical Library), by G. H. Hardy
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A Course of Pure Mathematics Centenary edition (Cambridge Mathematical Library), by G. H. Hardy
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Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigor of the 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. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.
- Sales Rank: #856221 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2008-03-24
- Released on: 2008-03-13
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.18" w x 5.98" l, 1.65 pounds
- Binding: Paperback
- 530 pages
- Used Book in Good Condition
Review
"First published in 1908, this classic still gives undergraduate students their first dose of the differential and integral calculus, the properties of infinite series and other notions involving limit. Hardy's nineteenth-century sensibilities and approach based on the "Cambridge way" (which produced such fine mathematicians as Maxwell, Kelvin, Rayleigh and Stokes) may have been eroding as the result of new work on the Continent at the time."
Books News
"Although the sequence of the presentation of the fundamentals of mathematics has changed over the last century, the substance has not. There is no greater evidence of this fact than this classic work by Hardy, which could be used without alteration or additional explanation as a text in modern college mathematics courses... The mathematical influence of G. H. Hardy over mathematical education was and remains strong, as can be seen by reading this masterpiece."
Charles Ashbacher, Journal of Recreational Mathematics
About the Author
T. W. Korner is Professor of Fourier Analysis in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. He has previously authored four other books including Fourier Analysis and The Pleasures of Counting.
Most helpful customer reviews
48 of 49 people found the following review helpful.
The book for a serious student of mathematics
By davez
This is the book for a serious student to begin his study of analysis. This is Hardy's timeless masterpiece. There is no other Calculus book even remotely close. The collection of the problems in this book is superb. After you wade through this book, your command of Calculus will be unshakable and your whole view of mathematics could also alter. Hardy made it clear in the preface, "It is in any case a book for mathematicians: I have nowhere made any attempt to meet the needs of students of engineering or indeed any class of students whose interests are not primarily mathematical."
This is one of few math and science books that are a joy to read even after you have mastered the material. What Hardy does for mathematics in this book is what Feynman does for physics in Lectures of Physics.
For all the people who writes Calculus textbooks, do you even ask yourselves, "Is my book better than Hardy's?"
28 of 28 people found the following review helpful.
One thousand stars
By N. Mozahem
This is the most beautiful book that I have ever read. This is coming from someone who was average at math in school and hated it to the bone in university. If I had read this book while I was at university I would have definitely switched from engineering to math. I really cannot describe how this book makes me feel. Korner ends the foreword with the following: "May this book give as much pleasure to you as it has given to me". Hardy is a master of the subject as well as a master of prose. The only person that I think writes better than him is Russell. Open the book on a random page and chances are that you will see one equation and many paragraphs. The way Hardy describes the construction of the rational and irrational numbers is beyond description. Also, for the first time in my life I truly understand the true meaning behind the words 'limit' and 'convergence'. Previously, I could easily find whether a certain function converged or not by applying one of the many tests mechanically. Now, I actually understand how the function behaves just by looking at it and in many cases I know the answer without having to use any of the 'tools' which we memorize in school and university. The book is not easy, but it is very clear. There are many parts which I had to re-read over and over not because Hardy doesn't explain them right, but because the material is complicated. This book does not make analysis easy, because it is not (and many of the problems included prove that). What this book does is that it reveals the beauty of math while explaining the concepts clearly. This book will require effort on the part of the reader, but believe me, you will cherish every moment. I am at the end of the book and once I finish it I will go over it again. Why? Because I have never enjoyed another book more than this.
40 of 42 people found the following review helpful.
An Enduring Classic
By Illuminatus
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 analysis in the English language. More than a century later, it remains unsurpassed in that genre in any language.
Elegant, detailed and precise, with perfect prose and proofs, and numerous examples, it reveals the talents of a master mathematician and pedagogue.
I weep in frustration when I see the ridiculous number of poorly conceived and hideously expensive freshman calculus texts whose only claim to modernity are coloured boxes surrounding the equations. The reader patient enough to work through the many exercises in this magnificent volume will have a firm grounding in elementary analysis and feel the immense joy of pure mathematics.
P.S. If you are a first year mathematics student and your faculty expects you to squander your money on one of those "paper weight" calculus books, you should complain loudly!
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