| 000 | 02536nam a2200361 4500 | ||
|---|---|---|---|
| 001 | OTLid0000673 | ||
| 003 | MnU | ||
| 005 | 20201105133351.0 | ||
| 006 | m o d s | ||
| 008 | 190224s2014 mnu o 0 0 eng d | ||
| 020 | _a | ||
| 040 |
_aMnU _beng _cMnU |
||
| 050 | 4 | _aQA37.3 | |
| 245 | 0 | 0 |
_aYet Another Introductory Number Theory Textbook (Cryptology Emphasis Version) _cJonathan Poritz |
| 264 | 2 | _bOpen Textbook Library | |
| 264 | 1 | _bJonathan Poritz | |
| 300 | _a1 online resource | ||
| 490 | 0 | _aOpen textbook library. | |
| 505 | 0 | _aChapter 1: Well-Ordering and Division -- Chapter 2: Congruences -- Chapter 3: Prime Numbers -- Chapter 4: Cryptology -- Chapter 5: Indices = Discrete Logarithms | |
| 520 | 0 | _aThis 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 | _fAttribution-ShareAlike | |
| 546 | _aIn English. | ||
| 588 | 0 | _aDescription based on online resource | |
| 650 | 0 |
_aApplied mathematics _vTextbooks |
|
| 650 | 0 |
_aCryptography _vTextbooks |
|
| 700 | 1 |
_aPoritz, Jonathan A. _eauthor |
|
| 710 | 2 |
_aOpen Textbook Library _edistributor |
|
| 856 | 4 | 0 |
_uhttps://open.umn.edu/opentextbooks/textbooks/673 _zAccess online version |
| 999 |
_c20036 _d20036 |
||