Holdings: Fundamental number theory with applications

Fundamental number theory with applications:

Saved in:

Bibliographic Details
Main Author:	Mollin, Richard A. 1947- (Author)
Format:	Book
Language:	English
Published:	Boca Raton [u.a.] Chapman & Hall/CRC 2008
Edition:	2. ed.
Series:	Discrete mathematics and its applications 47
Subjects:	Number theory Zahlentheorie
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references (p. 351-354) and index
Physical Description:	X, 369 S.
ISBN:	9781420066593 1420066595

Staff View

MARC


LEADER	00000nam a2200000zcb4500
001	BV023323223
003	DE-604
005	20111108
007	t
008	080602s2008 xxu \|\|\|\| 00\|\|\| eng d
010			\|a 2007050650
020			\|a 9781420066593 \|c hardback : alk. paper \|9 978-1-4200-6659-3
020			\|a 1420066595 \|c hardback : alk. paper \|9 1-420-06659-5
035			\|a (OCoLC)183611655
035			\|a (DE-599)BVBBV023323223
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-703 \|a DE-20 \|a DE-91G \|a DE-19 \|a DE-83
050		0	\|a QA241
082	0		\|a 512.7
084			\|a SK 180 \|0 (DE-625)143222: \|2 rvk
084			\|a MAT 100f \|2 stub
084			\|a 11-01 \|2 msc
100	1		\|a Mollin, Richard A. \|d 1947- \|e Verfasser \|0 (DE-588)124930859 \|4 aut
245	1	0	\|a Fundamental number theory with applications \|c Richard A. Mollin
250			\|a 2. ed.
264		1	\|a Boca Raton [u.a.] \|b Chapman & Hall/CRC \|c 2008
300			\|a X, 369 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Discrete mathematics and its applications \|v 47
500			\|a Includes bibliographical references (p. 351-354) and index
650		4	\|a Number theory
650	0	7	\|a Zahlentheorie \|0 (DE-588)4067277-3 \|2 gnd \|9 rswk-swf
689	0	0	\|a Zahlentheorie \|0 (DE-588)4067277-3 \|D s
689	0		\|5 DE-604
830		0	\|a Discrete mathematics and its applications \|v 47 \|w (DE-604)BV023551867 \|9 47
856	4	2	\|m Digitalisierung UB Bayreuth \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016507281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-016507281

Record in the Search Index

_version_	1804137662980816896
adam_text	Contents Preface . їх Arithmetic of the Integers 1 1.1 Induction .............................. 1 1.2 Division ............................... 16 1.3 Primes ................................ 30 1.4 The Chinese Remainder Theorem ............... 40 1.5 Thue s Theorem .......................... 44 1.6 Combinatorial Number Theory ................ 49 1.7 Partitions and Generating Functions ............. 55 1.8 True Primality Tests ....................... 60 1.9 Distribution of Primes ...................... 65 Modular Arithmetic 73 2.1 Basic Properties .......................... 73 2.2 Modular Perspective ....................... 84 2.3 Arithmetic Functions: Euler, Carmichael, and Möbius . . 90 2.4 Number and Sums of Divisors .................102 2.5 The Floor and the Ceiling ....................108 2.6 Polynomial Congruences .....................113 2.7 Primality Testing .........................119 2.8 Cryptology .............................127 Primitive Roots 139 3.1 Order .................................139 3.2 Existence ..............................145 3.3 Indices ................................153 3.4 Random Number Generation ..................160 3.5 Public-Key Cryptography ....................166 Quadratic Residues 177 4.1 The Legendre Symbol ......................177 4.2 The Quadratic Reciprocity Law ................189 4.3 Factoring ...............................201 VII Vlil 5 Simple Continued Fractions and Diophantine Approximation 209 5.1 Infinite Simple Continued Fractions ............. 209 5.2 Periodic Simple Continued Fractions ............. 221 5.3 Pell s Equation and Surds .................... 232 5.4 Continued Fractions and Factoring .............. 240 6 Additivity — Sums of Powers 243 6.1 Sums of Two Squares ....................... 243 6.2 Sums of Three Squares ...................... 252 6.3 Sums of Four Squares ...................... 254 6.4 Sums of Cubes ........................... 259 7 Diophantine Equations 265 7.1 Norm-Form Equations ...................... 265 7.2 The Equation ax2 + by2 + cz2 = 0 ............... 274 7.3 Bachet s Equation ......................... 277 7.4 Fermat s Last Theorem ..................... 281 Appendix A: Fundamental Facts .............................285 Appendix B: Complexity ....................................311 Appendix C: Primes < 9547 and Least Primitive Roots ......313 Appendix Đ: Indices .........................................318 Appendix E: The ABC Conjecture ...........................319 Appendix F: Primes is in Ρ ..................................320 Solutions to Odd-Numbered Exercises .......................323 Bibliography ................................................351 List of Symbols ..............................................355 Index ........................................................356 About the Author ...........................................369
adam_txt	Contents Preface . їх Arithmetic of the Integers 1 1.1 Induction . 1 1.2 Division . 16 1.3 Primes . 30 1.4 The Chinese Remainder Theorem . 40 1.5 Thue's Theorem . 44 1.6 Combinatorial Number Theory . 49 1.7 Partitions and Generating Functions . 55 1.8 True Primality Tests . 60 1.9 Distribution of Primes . 65 Modular Arithmetic 73 2.1 Basic Properties . 73 2.2 Modular Perspective . 84 2.3 Arithmetic Functions: Euler, Carmichael, and Möbius . . 90 2.4 Number and Sums of Divisors .102 2.5 The Floor and the Ceiling .108 2.6 Polynomial Congruences .113 2.7 Primality Testing .119 2.8 Cryptology .127 Primitive Roots 139 3.1 Order .139 3.2 Existence .145 3.3 Indices .153 3.4 Random Number Generation .160 3.5 Public-Key Cryptography .166 Quadratic Residues 177 4.1 The Legendre Symbol .177 4.2 The Quadratic Reciprocity Law .189 4.3 Factoring .201 VII Vlil 5 Simple Continued Fractions and Diophantine Approximation 209 5.1 Infinite Simple Continued Fractions . 209 5.2 Periodic Simple Continued Fractions . 221 5.3 Pell's Equation and Surds . 232 5.4 Continued Fractions and Factoring . 240 6 Additivity — Sums of Powers 243 6.1 Sums of Two Squares . 243 6.2 Sums of Three Squares . 252 6.3 Sums of Four Squares . 254 6.4 Sums of Cubes . 259 7 Diophantine Equations 265 7.1 Norm-Form Equations . 265 7.2 The Equation ax2 + by2 + cz2 = 0 . 274 7.3 Bachet's Equation . 277 7.4 Fermat's Last Theorem . 281 Appendix A: Fundamental Facts .285 Appendix B: Complexity .311 Appendix C: Primes < 9547 and Least Primitive Roots .313 Appendix Đ: Indices .318 Appendix E: The ABC Conjecture .319 Appendix F: Primes is in Ρ .320 Solutions to Odd-Numbered Exercises .323 Bibliography .351 List of Symbols .355 Index .356 About the Author .369
any_adam_object	1
any_adam_object_boolean	1
author	Mollin, Richard A. 1947-
author_GND	(DE-588)124930859
author_facet	Mollin, Richard A. 1947-
author_role	aut
author_sort	Mollin, Richard A. 1947-
author_variant	r a m ra ram
building	Verbundindex
bvnumber	BV023323223
callnumber-first	Q - Science
callnumber-label	QA241
callnumber-raw	QA241
callnumber-search	QA241
callnumber-sort	QA 3241
callnumber-subject	QA - Mathematics
classification_rvk	SK 180
classification_tum	MAT 100f
ctrlnum	(OCoLC)183611655 (DE-599)BVBBV023323223
dewey-full	512.7
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.7
dewey-search	512.7
dewey-sort	3512.7
dewey-tens	510 - Mathematics
discipline	Mathematik
discipline_str_mv	Mathematik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01734nam a2200457zcb4500</leader><controlfield tag="001">BV023323223</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20111108 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">080602s2008 xxu \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2007050650</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781420066593</subfield><subfield code="c">hardback : alk. paper</subfield><subfield code="9">978-1-4200-6659-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1420066595</subfield><subfield code="c">hardback : alk. paper</subfield><subfield code="9">1-420-06659-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)183611655</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023323223</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.7</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 100f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mollin, Richard A.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)124930859</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Fundamental number theory with applications</subfield><subfield code="c">Richard A. Mollin</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton [u.a.]</subfield><subfield code="b">Chapman & Hall/CRC</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 369 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Discrete mathematics and its applications</subfield><subfield code="v">47</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 351-354) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zahlentheorie</subfield><subfield code="0">(DE-588)4067277-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Discrete mathematics and its applications</subfield><subfield code="v">47</subfield><subfield code="w">(DE-604)BV023551867</subfield><subfield code="9">47</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016507281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016507281</subfield></datafield></record></collection>
id	DE-604.BV023323223
illustrated	Not Illustrated
index_date	2024-07-02T20:54:31Z
indexdate	2024-07-09T21:15:52Z
institution	BVB
isbn	9781420066593 1420066595
language	English
lccn	2007050650
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016507281
oclc_num	183611655
open_access_boolean
owner	DE-703 DE-20 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83
owner_facet	DE-703 DE-20 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83
physical	X, 369 S.
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
publisher	Chapman & Hall/CRC
record_format	marc
series	Discrete mathematics and its applications
series2	Discrete mathematics and its applications
spelling	Mollin, Richard A. 1947- Verfasser (DE-588)124930859 aut Fundamental number theory with applications Richard A. Mollin 2. ed. Boca Raton [u.a.] Chapman & Hall/CRC 2008 X, 369 S. txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and its applications 47 Includes bibliographical references (p. 351-354) and index Number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s DE-604 Discrete mathematics and its applications 47 (DE-604)BV023551867 47 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016507281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Mollin, Richard A. 1947- Fundamental number theory with applications Discrete mathematics and its applications Number theory Zahlentheorie (DE-588)4067277-3 gnd
subject_GND	(DE-588)4067277-3
title	Fundamental number theory with applications
title_auth	Fundamental number theory with applications
title_exact_search	Fundamental number theory with applications
title_exact_search_txtP	Fundamental number theory with applications
title_full	Fundamental number theory with applications Richard A. Mollin
title_fullStr	Fundamental number theory with applications Richard A. Mollin
title_full_unstemmed	Fundamental number theory with applications Richard A. Mollin
title_short	Fundamental number theory with applications
title_sort	fundamental number theory with applications
topic	Number theory Zahlentheorie (DE-588)4067277-3 gnd
topic_facet	Number theory Zahlentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016507281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV023551867
work_keys_str_mv	AT mollinricharda fundamentalnumbertheorywithapplications

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items