**CharlesAshbacher**

"A masterpiece of mathematics"

A book by G. H. Hardy

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Jul 10, 2010

- by CharlesAshbacher
- posted in Cafe Libri: Reviewing Books & More

Rating:

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. Hardy was rightfully known as a bit of an eccentric, yet he was a brilliant pure mathematician and he will always be held in the highest regard for his actions in aiding the Indian prodigy Ramanujan. Less well known but still extremely significant is his expository writing; there are few who wrote as clearly as he did.
+5

This book was extremely influential in the teaching of mathematics over the last century. The primary subject matter is:

*) Real variables

*) Functions of real variables

*) Complex numbers

*) Limits of functions of a positive integral variable

*) Limits of functions of a continuous variable

*) Derivatives and integrals

*) Theorems on the differential and integral calculus

*) Convergence of infinite series and infinite integrals

*) Logarithmic, exponential and circular functions of a real variable

*) General theory of the logarithmic, exponential and circular functions

There are few proofs, but an enormous number of examples. The mathematical influence of G. H. Hardy over mathematical education was and remains strong, as can be seen by reading this masterpiece.

Published in Journal of Recreational Mathematics, reprinted with permission

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Charlie Ashbacher is a compulsive reader and writer about many subjects. His prime areas of expertise are in mathematics and computers where he has taught every course in the mathematics and computer … **more**

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"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

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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

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