A Course of Pure Mathematics
{{Short description|Textbook by G. H. Hardy}}
{{Infobox book
| name = A Course of Pure Mathematics
| image = A.Course.of.Pure.Mathematics,Hardy.G.H.(Godfrey Harold).jpg
| image_size = 175px
| caption = Cover of Third edition, 1921
| author = G. H. Hardy
| country = England
| language = English
| subject = Mathematical Analysis
| publisher = Cambridge University Press
| pub_date = 1908
| isbn = 0521720559
| wikisource =
}}
A Course of Pure Mathematics is a classic textbook on introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites. It remains one of the most popular books on pure mathematics.
Contents
The book contains a large number of descriptive and study materials together with a number of difficult problems with regards to number theory analysis. The book is organized into the following chapters.
- I. REAL VARIABLES
- II. FUNCTIONS OF REAL VARIABLES
- III. COMPLEX NUMBERS
- IV. LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE
- V. LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS
- VI. DERIVATIVES AND INTEGRALS
- VII. ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS
- VIII. THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS
- IX. THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS OF A REAL VARIABLE
- X. THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS
Review
The book was intended to help reform mathematics teaching in the UK, and more specifically in the University of Cambridge and in schools preparing to study higher mathematics. It was aimed directly at "scholarship level" students – the top 10% to 20% by ability. Hardy himself did not originally find a passion for mathematics, only seeing it as a way to beat other students, which he did decisively, and gain scholarships.{{cite web|url=http://www-history.mcs.st-andrews.ac.uk/Biographies/Hardy.html |title=Hardy biography |website=History.mcs.st-andrews.ac.uk |date=1947-12-01 |accessdate=2016-06-15}}
References
{{Reflist}}
External links
=Online copies=
- [https://archive.org/details/coursepuremath00hardrich Third edition (1921) at Internet Archive]
- [http://www.gutenberg.org/ebooks/38769 Third edition (1921) at Project Gutenberg]
- [http://www.hti.umich.edu/cgi/t/text/text-idx?c=umhistmath;idno=ACM1516.0001.001 First edition (1908) at University of Michigan Historical Math Collection]
=Other=
- [http://www.cambridge.org/us/academic/subjects/mathematics/real-and-complex-analysis/course-pure-mathematics-10th-edition-1 A Course of Pure Mathematics at Cambridge University Press] (10 e. 1952, reissued 2008)
{{DEFAULTSORT:Course of Pure Mathematics}}
Category:1908 non-fiction books