Handbook Of Number Theory Ii

Author : J. Sándor,B. Crstici
Publisher : Springer Science & Business Media
Page : 637 pages
File Size : 44,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9781402025464

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Handbook of Number Theory II by J. Sándor,B. Crstici Pdf

This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.

Author : József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 54,6 Mb
Release : 2005-11-17
Category : Mathematics
ISBN : 9781402042157

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Handbook of Number Theory I by József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici Pdf

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

Author : A. N. Parshin,Игорь Ростиславович Шафаревич
Publisher : Springer
Page : 292 pages
File Size : 40,6 Mb
Release : 1992
Category : Algebraic number theory
ISBN : UOM:39076001189542

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Number Theory II by A. N. Parshin,Игорь Ростиславович Шафаревич Pdf

Volume 62 of the Encyclopedia presents the main structures and results of algebraic number theory with emphasis on algebraic number fields and class field theory. Written for the nonspecialist, the author assumes a general understanding of modern algebra and elementary number theory. Only the general properties of algebraic number fields and relate.

Author : W Narkiewicz
Publisher : World Scientific Publishing Company
Page : 384 pages
File Size : 48,7 Mb
Release : 1984-02-01
Category : Mathematics
ISBN : 9789813104099

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Number Theory by W Narkiewicz Pdf

The aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.

Author : József Sándor,Dragoslav S. Mitrinović,Borislav Crstici
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:712789923

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Handbook of Number Theory by József Sándor,Dragoslav S. Mitrinović,Borislav Crstici Pdf

Author : Richard Friedberg
Publisher : Courier Corporation
Page : 241 pages
File Size : 50,6 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486152691

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An Adventurer's Guide to Number Theory by Richard Friedberg Pdf

This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.

Author : Henri Cohen
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 53,7 Mb
Release : 2008-12-17
Category : Mathematics
ISBN : 9780387498942

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Number Theory by Henri Cohen Pdf

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.

Author : Anthony Vazzana,Martin Erickson,David Garth
Publisher : CRC Press
Page : 537 pages
File Size : 45,6 Mb
Release : 2007-10-30
Category : Mathematics
ISBN : 9781584889373

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Introduction to Number Theory by Anthony Vazzana,Martin Erickson,David Garth Pdf

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.

Author : Henri Cohen
Publisher : Springer Science & Business Media
Page : 619 pages
File Size : 46,9 Mb
Release : 2007-05-23
Category : Mathematics
ISBN : 9780387498935

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Number Theory by Henri Cohen Pdf

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject.

Author : Harold M. Stark
Publisher : MIT Press
Page : 361 pages
File Size : 54,9 Mb
Release : 1978-05-30
Category : Mathematics
ISBN : 9780262690607

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An Introduction to Number Theory by Harold M. Stark Pdf

The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, in addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.

Author : Jordi Guàrdia
Publisher : Springer Nature
Page : 457 pages
File Size : 41,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031519598

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New Frontiers in Number Theory and Applications by Jordi Guàrdia Pdf

Author : H. P. F. Swinnerton-Dyer
Publisher : Cambridge University Press
Page : 164 pages
File Size : 44,9 Mb
Release : 2001-02-22
Category : Mathematics
ISBN : 0521004233

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A Brief Guide to Algebraic Number Theory by H. P. F. Swinnerton-Dyer Pdf

Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.

Author : Edwin Weiss
Publisher : Courier Corporation
Page : 308 pages
File Size : 48,7 Mb
Release : 2012-01-27
Category : Mathematics
ISBN : 9780486154367

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Algebraic Number Theory by Edwin Weiss Pdf

Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.

Author : George E. Andrews
Publisher : Courier Corporation
Page : 292 pages
File Size : 44,5 Mb
Release : 1994-10-12
Category : Mathematics
ISBN : 9780486682525

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Number Theory by George E. Andrews Pdf

Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.

Author : Farhana Sheikh,Leonel Sousa
Publisher : CRC Press
Page : 382 pages
File Size : 44,5 Mb
Release : 2016-05-25
Category : Computers
ISBN : 9781482236897

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Circuits and Systems for Security and Privacy by Farhana Sheikh,Leonel Sousa Pdf

Circuits and Systems for Security and Privacy begins by introducing the basic theoretical concepts and arithmetic used in algorithms for security and cryptography, and by reviewing the fundamental building blocks of cryptographic systems. It then analyzes the advantages and disadvantages of real-world implementations that not only optimize power, area, and throughput but also resist side-channel attacks. Merging the perspectives of experts from industry and academia, the book provides valuable insight and necessary background for the design of security-aware circuits and systems as well as efficient accelerators used in security applications.