MARC details
| 000 -LEADER |
| fixed length control field |
02536nam a2200361 4500 |
| 001 - CONTROL NUMBER |
| control field |
OTLid0000673 |
| 003 - CONTROL NUMBER IDENTIFIER |
| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
| control field |
20201105133351.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
| fixed length control field |
190224s2014 mnu o 0 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
|
| 040 ## - CATALOGING SOURCE |
| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
| Classification number |
QA37.3 |
| 245 00 - TITLE STATEMENT |
| Title |
Yet Another Introductory Number Theory Textbook (Cryptology Emphasis Version) |
| Statement of responsibility, etc. |
Jonathan Poritz |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
| Name of producer, publisher, distributor, manufacturer |
Jonathan Poritz |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
| Formatted contents note |
Chapter 1: Well-Ordering and Division -- Chapter 2: Congruences -- Chapter 3: Prime Numbers -- Chapter 4: Cryptology -- Chapter 5: Indices = Discrete Logarithms |
| 520 0# - SUMMARY, ETC. |
| Summary, etc. |
This version of YAINTT has a particular emphasis on connections to cryptology. The cryptologic material appears in Chapter 4 and ยงยง5.5 and 5.6, arising naturally (I hope) out of the ambient number theory. The main cryptologic applications - being the RSA cryptosystem, Diffie-Hellman key exchange, and the ElGamal cryptosystem - come out so naturally from considerations of Euler's Theorem, primitive roots, and indices that it renders quite ironic G.H. Hardy's assertion [Har05] of the purity and eternal inapplicability of number theory. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory. This material therefore has something of a different flavor from the rest of the text - as is true of all scholarly work in cryptology (indeed, perhaps in all of computer science), which is clearly a discipline with a different culture from that of "pure"mathematics. Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
| Copyright statement |
Attribution-ShareAlike |
| 546 ## - LANGUAGE NOTE |
| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
| Source of description note |
Description based on online resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Applied mathematics |
| Form subdivision |
Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name entry element |
Cryptography |
| Form subdivision |
Textbooks |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
| Personal name |
Poritz, Jonathan A. |
| Relator term |
author |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/673">https://open.umn.edu/opentextbooks/textbooks/673</a> |
| Public note |
Access online version |