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Fundamental Number Theory with Applications
An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in i
Diophantine Analysis
The author's purpose in writing this book has been to supply the reader with a convenient introduction to Diophantine Analysis. The choice of material has been determined by the end in view. No attempt has been made to include all special results, but a large number of them are to be found both in the text and in the exercises. The general theory of quadratic forms has been omitted entirely, since that subject would require a volume in itself. The reader will therefore miss such an elegant theorem as the following: Every positive integer may be represented as the sum of four squares. Some methods of frequent use in the theory of quadratic forms, in particular that of continued fractions, have been left out of consideration even though they have some value for other Diophantine questions. This is done for the sake of unity and brevity. Probablythese omissions will not be regretted, since there are accessible sources through which one can make acquaintance with the parts of the theory excluded.
Diophantine Analysis
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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The American Ideology of National Science, 1919-1930
Ronald C. Tobey provides a provocative analysis of the movement to establish a national science program in the early twentieth century. Led by several influential scientists, who had participated in centralized scientific enterprises during World War I, the new effort to conjoin science and society was an attempt to return to earlier progressive values with the hope of producing science for society's benefit. The movement was initially undermined by the new physics, and Einstein's theories of relativity, which shattered traditional views and alienated the American public. Nationalized research programs were tempered by the conservatism of corporate donors. Later, with the disintegration of progressivism, the gap between science and society made it impossible for the two cultures to unite.
