MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
03977cam a2200325 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
18345 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260202142823.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
070723s2006 tu a b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
975303215 |
| Qualifying information |
pbk. |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC) |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
BAUN |
| Language of cataloging |
eng |
| Transcribing agency |
BAUN |
| Description conventions |
rda |
| 041 0# - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA241 |
| Item number |
.K4613 2006 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Kendirli, Barış. |
| 9 (RLIN) |
89776 |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Number theory with cryptographic applications / |
| Statement of responsibility, etc |
by Barış Kendirli. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
İstanbul : |
| Name of producer, publisher, distributor, manufacturer |
Fatih University, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2006. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
volume, 525 pages ; |
| Dimensions |
28 cm. |
| 336 ## - CONTENT TYPE |
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| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Fatih University publications ; |
| Volume number/sequential designation |
21 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 521) and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Contents |
| -- |
1 Introduction 1 |
| -- |
2 Divisibility Properties of Integers 5 |
| -- |
2.1 The Greatest Common Divisor 10 |
| -- |
2.2 Linear Diophantirıe equations 16 |
| -- |
2.3 Primes 19 |
| -- |
2.4 Fermat Faetorization 27 |
| -- |
3 Congruences 31 |
| -- |
3.1 Arithmetic Inverse: 36 |
| -- |
3.2 Linear Congruence 39 |
| -- |
3.3 Fermat's Little Theorem 45 |
| -- |
4 Cryptography 54 |
| -- |
4.1 Substitution Ciphers 54 |
| -- |
4.2 Block Ciphers 63 |
| -- |
4.3 Public- Key Cryptography 68 |
| -- |
5 Polynornial Congruences 75 |
| -- |
5.1 Chinese Remainder Theorem 75 |
| -- |
5.2 Solutions of congruences modulo prime power 78 |
| -- |
5.3 Reduction of polynomials 88 |
| -- |
6 Primitive Roots: 95 |
| -- |
6.1 Existence of primitive root modulo prime 98 |
| -- |
6.2 Translation of muitiplicative problems into additive problems 103 |
| -- |
6.3 Application to Cryptography 111 |
| -- |
7 Quadratic Polynomial 113 |
| -- |
7.1 Quadratic Residues 117 |
| -- |
7.2 The Law of Quadratic Reciprocity (GAUSS) 120 |
| -- |
7.3 Application to Diophantine Equations 126 |
| -- |
7.4 Jacobi Symbol 129 |
| -- |
8 Arithmetic Functions 134 |
| -- |
8.1 Dirichlet Series 148 |
| -- |
8.2 Euler Products 152 |
| -- |
9 Some Nonlinear Diophantine Equations 160 |
| -- |
9.1 The Equation x2 + y2 = z2 161 |
| -- |
9.2 The equation x4+y4=z2 167 |
| -- |
9.3 FERMAT'S Last Theorem and the equation x4+y4=z4 168 |
| -- |
9.4 The Equation n=x2+y2+z2+w2 169 |
| -- |
10 Continued Fractions: 172 |
| -- |
10.1 Infinite Continued Fractions 182 |
| -- |
10.2 Periodic continued fractions 184 |
| -- |
10.3 Pell's Equation x2 ~ dy2 = n for d > 0 192 |
| -- |
11 Primality Testing and Factoring 199 |
| -- |
11.1 Factorization by Continued Fraction 207 |
| -- |
11.2 Thep-1 Factoring Algorithm(Pollard) 211 |
| -- |
11.3 Rho-Method(Poüard) 212 |
| -- |
11.4 Factor Base Method 214 |
| -- |
11.5 Quadratic Sieve Method 223 |
| -- |
12 Quadratic Fields 226 |
| -- |
12.1 Gaussian Integers 226 |
| -- |
12.2 General Quadratic Fields 239 |
| -- |
13 Binary Quadratic Forms 247 |
| -- |
13.1 Connection Between Binary Quadratic Forms and free Z inodules of rank 2 in Quadratic Fields 248 |
| -- |
13.2 The Correspondence between Binary Quadratic Forms and Free Z Modules of rank 2 252 |
| -- |
13.3 The order of a free Z modüle of rank 2 259 |
| -- |
14 Units in orders 267 |
| -- |
14.1 Determination of Elements of a Free Z Modüle of Rank 2 whose norms are a given rational number 276 |
| -- |
15 Factorization in the Orders of Quadratic Fields 291 |
| -- |
15.1 Properties of Ideals in Od 299 |
| -- |
16 Product of free % modules of rank 2 315 |
| -- |
16.1 The factorization of prime integers in Q(Vd) 334 |
| -- |
17 Kronecker Symbol 344 |
| -- |
17.1 Class Number: 350 |
| -- |
17.2 Application to Diophantine Equations 358 |
| -- |
17.3 More about L functions 365 |
| -- |
18 More on Binary Quadratic Forms 372 |
| -- |
18.1 The Representation of Integers by Binary Quadratic Forms 385 |
| -- |
18.2 Operations on binary quadratic forms 394 |
| -- |
18.3 Genus Theory 410 |
| -- |
19 Elliptic Curves 430 |
| -- |
19.1 The Group Structure of an Elliptic Curve 434 |
| -- |
19.2 Rational Points on Elliptic Curves 448 |
| -- |
20 Finite Fields 458 |
| -- |
20.1 Some Maple Applications on Finite Fields 464 |
| -- |
21 Application to Cryptography 471 |
| -- |
21.1 Finite Field Cryptosystems 471 |
| -- |
21.2 Elliptic Curve Cryptosystems 490 |
| -- |
22 TABLES 503 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Number theory. |
| 9 (RLIN) |
14928 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| 9 (RLIN) |
109674 |
| Corporate name or jurisdiction name as entry element |
Fatih Üniversitesi. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
109673 |
| Uniform title |
Fatih Üniversitesi yayınları ; |
| Volume number/sequential designation |
21. |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Numeration |
bağış |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
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