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Some Famous Problems of the Theory of Numbers, and in Particular Waring's Problem: An Inaugural Lecture Delivered Before the University of Oxford (Classic Reprint) - Softcover

 
9781332348671: Some Famous Problems of the Theory of Numbers, and in Particular Waring's Problem: An Inaugural Lecture Delivered Before the University of Oxford (Classic Reprint)

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Excerpt from Some Famous Problems of the Theory of Numbers, and in Particular Waring's Problem: An Inaugural Lecture Delivered Before the University of Oxford

It is expected that a professor who delivers an inaugural lecture should choose a subject of wider interest than those which he expounds to his ordinary classes. This custom is entirely reasonable; but it leaves a pure mathematician faced by a very awkward dilemma. There are subjects in which only what is trivial is easily and generally comprehensible. Pure mathematics, I am afraid, is one of them; indeed it is more: it is perhaps the one subject in the 3 world of which it is true, not only that it is genuinely difficult to understand, not only that no one is ashamed of. inability to understand it, but even that most men are more ready to exaggerate than to dissemble their lack of understanding.

There is one method of meeting such a situation which is sometimes adopted with considerable success. The lecturer may set out to justify his existence by enlarging upon the overwhelming importance, both to his University and to the community in general, of the particular studies on which he is engaged. He may point out how ridiculously 0 inadequate is the recognition at present afforded to them; how urgent it is in the national interest that they should be largely and immediately re-endowed; and how immensely all of us would benefit were we to entrust him and his colleagues with a predominant voice in all questions of educational administration.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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G. H. Hardy
Published by Forgotten Books, 2015
ISBN 10: 133234867X ISBN 13: 9781332348671
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Paperback. Condition: New. Print on Demand. This book details the additive side of higher arithmetic, a subject that studies the number of ways positive integers can be expressed as the sum of integral parts, revealing beautiful, underlying mathematical concepts and principles. The author begins with a simple example, then expands to more complex problems like Waring's Problem, a long-standing unsolved puzzle. The book summarizes the history of this problem, revealing how this kind of additive problem is solved and the profound insights it provides into the nature of numbers. The text also discusses Goldbach's Theorem and shares the author's contribution to its solution, demonstrating the exciting, unsolved problems that continue to challenge mathematicians today. This book provides a broad overview of a specific, yet important part of the field of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332348671_0

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