MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03875nam a2200277 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
CSPC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20251120165313.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
251104s2024 onca b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781774697917 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
CSPC |
| Language of cataloging |
eng |
| Transcribing agency |
CSPC |
| Description conventions |
rda |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA241 |
| Item number |
.A753 2024 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
23 |
| Classification number |
512.72 |
| Item number |
Ar41e |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Arias, Pio J., |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Elementary number theory / |
| Statement of responsibility, etc. |
Pio J. Arias. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Burlington, Ontario : |
| Name of producer, publisher, distributor, manufacturer |
Toronto Academic Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvii, 241 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm. |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier type term |
volume |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Introduction to number theory -- 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 -- 1.13 Future directions in number theory research -- 2. Congruences -- 2.1 Direction of congruence -- 2.2 Applications of congruence in number theory -- 2.3 Basic properties of congruences -- 2.4 Linear congruence -- 2.5 Quadratic congruences -- 2.6 Systems of congruences -- 2.7 Wilson's theorem and Fermat's little theorem -- 3. Diophantine equations in number theory -- 3.1 Tools to deal with Diophantine equations -- 3.2 Method of infinite descent -- 3.3 Quadratic reciprocity -- 3.4 Factorization -- 4. Multiplicative functions -- 4.1 Definition and historical development -- 4.2 Motivation for studying multiplicative functions -- 4.3 Basic properties of multiplicative functions -- 4.4 Dirichlet convolution -- 4.5 Euler product formula -- 4.6 Mobius inversion formula -- 4.7 Applications of multiplicative functions -- 4.8 Future directions for research -- 5. Quadratic residues -- 5.1 Definition of quadratic residues and nonresidues -- 5.2 Applications of quadratic residues -- 5.3 Basic properties of quadratic residues -- 5.4 Quadratic residues modulo prime numbers -- 5.5 Quadratic residues modulo composite numbers -- 5.6 Quadratic residues and cryptography -- 5.7 Future directions in quadratic -- 6. Number theory and prime numbers -- 6.1 Number theory -- 6.2 Prime basics -- 6.3 Fundamental theorem of arithmetic -- 7. Continued fractions -- 7.1 Basic properties of continued fractions -- 7.2 The Euclidean algorithm and continued fractions -- 7.3 Applications of continued fractions -- 7.4 Continued fractions and quadratic irrationals -- 7.5 Advanced topics in continued fractions -- 8. Applications of elementary number theory -- 8.1 Cryptography -- 8.2 Coding theory -- 8.3 Modular arithmetic -- 8.4 Number sequences. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"This 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." |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Number theory. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
| Edition |
23 |
| Classification part |
512.72 |
| Item part |
Ar41e |
| Call number prefix |
CIR |
| Call number suffix |
2024 |
