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Algebra and Algebraic Number Theory
1992The 19th century was an age of deep qualitative transformations and, at the same time, of great discoveries in all areas of mathematics, including algebra. The transformation of algebra was fundamental in nature. Between the beginning and the end of the last century, or rather between the beginning of the last century and the twenties of this century ...
I. G. Bashmakova, A. N. Rudakov
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2021
This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic. The author presents the topic here by first offering a brief introduction to number
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This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic. The author presents the topic here by first offering a brief introduction to number
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Algorithmic Algebraic Number Theory
1989Now in paperback, this classic book is addressed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject.
Michael E. Pohst, Hans Zassenhaus
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Algorithms in algebraic number theory
ACM SIGSAM Bulletin, 1984Symbolic and algebraic computation has gained increasing importance and interest in algebra, algebraic number theory and algebraic geometry during the last years. For doing research in these fields the need for examples arises. The use of high speed computers makes it possible to provide large scale examples which in turn contribute to the progress of ...
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2002
Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000].
Hans Delfs, Helmut Knebl
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Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000].
Hans Delfs, Helmut Knebl
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1991
This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as ...
A. Fröhlich, M. J. Taylor
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This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as ...
A. Fröhlich, M. J. Taylor
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K-theory and G-theory of derived algebraic stacks
Japanese Journal of Mathematics, 2022Adeel A Khan
exaly
A Development of Associative Algebra and an Algebraic Theory of Numbers, IV
Mathematics Magazine, 1956H. S. Vandiver, M. W. Weaver
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