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Geometry, Algebra, Number Theory, and Their Information Technology Applications

2018-09-18 Mathematics
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Release : 2018-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 797/5 ( reviews)

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Book Synopsis Geometry, Algebra, Number Theory, and Their Information Technology Applications by : Amir Akbary

Download or read book Geometry, Algebra, Number Theory, and Their Information Technology Applications written by Amir Akbary. This book was released on 2018-09-18. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

From Great Discoveries in Number Theory to Applications

2021-09-21 Mathematics
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Release : 2021-09-21
Genre : Mathematics
Kind : eBook
Book Rating : 994/5 ( reviews)

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Book Synopsis From Great Discoveries in Number Theory to Applications by : Michal Křížek

Download or read book From Great Discoveries in Number Theory to Applications written by Michal Křížek. This book was released on 2021-09-21. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.

Number Theory for Computing

2000-03-31 Computers
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Release : 2000-03-31
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Number Theory for Computing by : Song Y. Yan

Download or read book Number Theory for Computing written by Song Y. Yan. This book was released on 2000-03-31. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians do not study objects, but relations among objectsj they are indifferent to the replacement of objects by others as long as relations do not change. Matter is not important, only form interests them. HENRI POINCARE (1854-1912) Computer scientists working on algorithms for factorization would be well advised to brush up on their number theory. IAN STEWART [219] The theory of numbers, in mathematics, is primarily the theory of the prop erties of integers (i.e., the whole numbers), particularly the positive integers. For example, Euclid proved 2000 years aga in his Elements that there exist infinitely many prime numbers. The subject has long been considered as the purest branch of mathematics, with very few applications to other areas. How ever, recent years have seen considerable increase in interest in several central topics of number theory, precisely because of their importance and applica tions in other areas, particularly in computing and information technology.

Noncommutative Geometry and Number Theory

2007-12-18 Mathematics
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Release : 2007-12-18
Genre : Mathematics
Kind : eBook
Book Rating : 529/5 ( reviews)

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Book Synopsis Noncommutative Geometry and Number Theory by : Caterina Consani

Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani. This book was released on 2007-12-18. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

Number Theory and Its Applications

2020-03-06 Mathematics
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Release : 2020-03-06
Genre : Mathematics
Kind : eBook
Book Rating : 138/5 ( reviews)

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Book Synopsis Number Theory and Its Applications by : Cem Y. Yildrim

Download or read book Number Theory and Its Applications written by Cem Y. Yildrim. This book was released on 2020-03-06. Available in PDF, EPUB and Kindle. Book excerpt: This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

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