Essentials of number theory / [edited by] Maria Catherine C. Borres.
Material type: TextPublisher: New York, NY : Arcler Press LLC, c2017Description: xiii, 254 pages : illustrations (black and white) ; 22 cmContent type: text Media type: unmediated Carrier type: volume ISBN: 9781680945867 [paperback]Item type | Current location | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
Reference (MAIN) | College Library | 512.7 Es74 2017 (Browse shelf) | c.1 | Available | 3UCBL000027001 | |
Reference (MAIN) | College Library | 512.7 Es74 2017 (Browse shelf) | c.2 | Available | 3UCBL000027002 | |
Reference (MAIN) | College Library | 512.7 Es74 2017 (Browse shelf) | c.3 | Available | 3UCBL000027003 |
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512.520 N52 2003 Linear algebra : | 512.7 Es74 2017 Essentials of number theory / | 512.7 Es74 2017 Essentials of number theory / | 512.7 Es74 2017 Essentials of number theory / | 512.9 D87 2000 Algebra for college students / | 512.9 D87 2004 Intermediate algebra / | 512.9 D87 2004 Elementary algebra / |
Includes bibliographical references.
1 Introduction to number -- 2 Number theory: an overview -- 3 Algebraic number theory -- 4 Analytic number theory -- 5 Geometry of numbers -- 6 Computational number theory -- 7 Transcendental number theory.
"Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic", consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function, Riemann zeta function, and totient function. Number theory has always fascinated amateurs as well as professional mathematicians. In contrast to other branches of mathematics, many of the problems and theorems of number theory can be understood by laypersons, although solutions to the problems and proofs of the theorems often required a sophisticated mathematical background. Until the mid-20th century, number theory was considered the purest branch of mathematics, with no direct applications to the real world. The advent of digital computers and digital communications revealed that number theory could provide unexpected answers to real-world problems. At the same time, improvements in computer technology enabled number theorists to make remarkable advances in factoring large numbers, determining primes, testing conjectures, and solving numerical problems once considered out of reach. Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number theory, geometric number theory, and probabilistic number theory. These categories reflect the methods used to address problems concerning the integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (e.g., the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, e.g., as approximated by the latter (Diophantine approximation)."--Provided by the publisher
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Donation College of Computer Studies Computer Studies : Information Technology
Donation College of Computer Studies Computer Studies : Information Technology
Donation College of Computer Studies Computer Studies : Information Technology
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