000 02433nam a22003377a 4500
003 OSt
005 20260303184317.0
008 260303b |||||||| |||| 00| 0 eng d
020 _a9781774697917
040 _beng
_cTUPM
_erda
050 _aQA 241
_bA75 2024
100 _aArias, Pio J.
245 _aElementary number theory /
_cby Dr. Pio J. Arias
264 _aBurlington, Ontario:
_bToronto Academic Press,
_c2024
300 _a241 pages: c
_bolor illustrations;
_c24 cm.
336 _2rdacontent
_atext
337 _2rdamedia
_aunmediated
338 _2rdacarrier
_avolume
504 _aIncludes bibliographic references and index.
505 _aChapter 1: Introduction To Number Theory Unit Introduction 1.1. Definition And Brief History Of Number Theory 1.2. Applications Of Number Theory In Various Fields 1.3. Fundamentals Of Number Theory 1.4. Diophantine Equations 1.5. Number Theory Functions 1.6. Distribution Of Primes 1.7. Cryptography 1.8. Continued Fractions 1.9. Algebraic Number Theory 1.10. Analytic Number Theory 1.11. Applications Of Number Theory 1.12. Theorems In Elementary Number Theory 1.13. Future Directions In Number Theory Research Summary Review Questions Multiple Choice Questions References Chapter 2: Congruences Unit Introduction 2.1. Definition Of Congruence
520 _aThis book serves as a comprehensive guide to Elementary Number Theory, a crucial branch of mathematics focusing on the properties and relationships of integers. The author, Dr. Pio J. Arias, covers a wide range of topics from the fundamentals to advanced theories, including divisibility, prime numbers, congruences, and Diophantine equations. The book explores the application of number theory in various fields such as cryptography, computer science, and physics, making it a valuable resource for students, scholars, and professionals interested in mathematics. Written in an engaging and informative style, it aims to provide a thorough understanding of number theory's essential principles and applications
590 _aArias, P. J. (2024). Elementary number theory. Toronto Academic Press.
650 _aNumber theory;
650 _aIntegers
_xProperties
650 _aPrime numbers
650 _aDiophantine equations
650 _aCryptography applications
650 _aCongruences
942 _2lcc
_cBK
_n0
999 _c31299
_d31299