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Binary Quadratic Forms
Buchmann, Johannes; Vollmer, Ulrich
€ 64.06
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Description for Binary Quadratic Forms
Hardback. Deals with algorithmic problems related to binary quadratic forms. This book focuses on the algorithmic aspects of the theory. It introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. It explains applications to cryptography. Series: Algorithms and Computation in Mathematics. Num Pages: 332 pages, 5 black & white tables, biography. BIC Classification: PBF; PBH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 23. Weight in Grams: 666.
This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe?cients and it is shown that forms with integer coe?cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made the ... Read more
This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with real coe?cients and it is shown that forms with integer coe?cients appear in a natural way. Much of the progress of number theory has been stimulated by the study of concrete computational problems. Deep theories were developed from the classic time of Euler and Gauss onwards to this day that made the ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
332
Condition
New
Series
Algorithms and Computation in Mathematics
Number of Pages
318
Place of Publication
Berlin, Germany
ISBN
9783540463672
SKU
V9783540463672
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Buchmann, Johannes; Vollmer, Ulrich
Buchmann: Professor of Computer Science and Mathematics special areas number theory, computer algebra, cryptography associate editor Journal of Cryptology Leibniz Award of the Deutsche Forschungsgemeinschaft Author of "Introduction to cryptography" UTM, translated into seven languages Member of Berlin-Brandenburg Academy of Sciences Member of Academy of Sciences and Literature, Mainz Vollmer: Thesis and several ... Read more
Reviews for Binary Quadratic Forms
From the reviews: "Quadratic Field Theory is the best platform for the development of a computer viewpoint. Such an idea is not dominant in earlier texts on quadratic forms … . this book reads like a continuous program with major topics occurring as subroutines. The theory appears as ‘program comments,’ accompanied by numerical examples. … An appendix ... Read more