Orders of Infinity by G. H. Hardy

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About this book :-
The ideas of Du Bois-Reymond’s Infinit¨arcalc¨ul are of great and growing importance in all branches of the theory of functions. With the particular system of notation that he invented, it is, no doubt, quite possible to dispense; but it can hardly be denied that the notation is exceedingly useful, being clear, concise, and expressive in a very high degree. In any case Du Bois-Reymond was a mathematician of such power and originality that it would be a great pity if so much of his best work were allowed to be forgotten. There is, in Du Bois-Reymond’s original memoirs, a good deal that would not be accepted as conclusive by modern analysts. He is also at times exceedingly obscure; his work would beyond doubt have attracted much more attention had it not been for the somewhat repugnant garb in which he was unfortunately wont to clothe his most valuable ideas. This book provides an up-to-date version of Du Bois-Reymond's Infinitärcalcül by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions. The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author attempted to bring the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems the truth of which Du Bois=Reymond seems to have tacitly assumed.

Book Detail :-
This book has following details information.
Title: Orders of Infinity by G. H. Hardy by NA
Publisher: Cambridge University Press
Series: eBooksDirectory
Year: 1910
Pages: 101
Type: PDF
Language: English
ISBN-10 #: 1453609431
ISBN-13 #: 978-1112341748
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Introduction 2. Scales of infinity in general 3. Logarithmico-exponential scales 4. Special problems connected with logarithmico-exponential scales 5. Functions which do not conform to any logarithmico-exponential scale 6. Differentiation and integration 7. Some developments of Du Bois-Reymond’s Infinit¨arcalc¨ul

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