Applied number theory:
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cham
Springer
[2015]
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Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 https://doi.org/10.1007/978-3-319-22321-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632167&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632167&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | 1 Online Ressource (X, 442 Seiten, 20 illus., 7 illus. in color) |
ISBN: | 9783319223216 |
DOI: | 10.1007/978-3-319-22321-6 |
Internformat
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Datensatz im Suchindex
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adam_text |
APPLIED NUMBER THEORY
/ NIEDERREITER, HARALD
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1 A REVIEW OF NUMBER THEORY AND ALGEBRA
2 CRYPTOGRAPHY
3 CODING THEORY
4 QUASI-MONTE CARLO METHODS
5 PSEUDORANDOM NUMBERS
6 FURTHER APPLICATIONS
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
APPLIED NUMBER THEORY
/ NIEDERREITER, HARALD
: 2015
ABSTRACT / INHALTSTEXT
THIS TEXTBOOK EFFECTIVELY BUILDS A BRIDGE FROM BASIC NUMBER THEORY TO
RECENT ADVANCES IN APPLIED NUMBER THEORY. IT PRESENTS THE FIRST UNIFIED
ACCOUNT OF THE FOUR MAJOR AREAS OF APPLICATION WHERE NUMBER THEORY PLAYS
A FUNDAMENTAL ROLE, NAMELY CRYPTOGRAPHY, CODING THEORY, QUASI-MONTE
CARLO METHODS, AND PSEUDORANDOM NUMBER GENERATION, ALLOWING THE AUTHORS
TO DELINEATE THE MANIFOLD LINKS AND INTERRELATIONS BETWEEN THESE
AREAS. NUMBER THEORY, WHICH CARL-FRIEDRICH GAUSS FAMOUSLY DUBBED THE
QUEEN OF MATHEMATICS, HAS ALWAYS BEEN CONSIDERED A VERY BEAUTIFUL FIELD
OF MATHEMATICS, PRODUCING LOVELY RESULTS AND ELEGANT PROOFS. WHILE ONLY
VERY FEW REAL-LIFE APPLICATIONS WERE KNOWN IN THE PAST, TODAY NUMBER
THEORY CAN BE FOUND IN EVERYDAY LIFE: IN SUPERMARKET BAR CODE SCANNERS,
IN OUR CARS’ GPS SYSTEMS, IN ONLINE BANKING, ETC. STARTING WITH A
BRIEF INTRODUCTORY COURSE ON NUMBER THEORY IN CHAPTER 1, WHICH MAKES THE
BOOK MORE ACCESSIBLE FOR UNDERGRADUATES, THE AUTHORS DESCRIBE THE FOUR
MAIN APPLICATION AREAS IN CHAPTERS 2-5 AND OFFER A GLIMPSE OF ADVANCED
RESULTS THAT ARE PRESENTED WITHOUT PROOFS AND REQUIRE MORE ADVANCED
MATHEMATICAL SKILLS. IN THE LAST CHAPTER THEY REVIEW SEVERAL FURTHER
APPLICATIONS OF NUMBER THEORY, RANGING FROM CHECK-DIGIT SYSTEMS TO
QUANTUM COMPUTATION AND THE ORGANIZATION OF RASTER-GRAPHICS MEMORY.
UPPER-LEVEL UNDERGRADUATES, GRADUATES AND RESEARCHERS IN THE FIELD OF
NUMBER THEORY WILL FIND THIS BOOK TO BE A VALUABLE RESOURCE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
any_adam_object | 1 |
author | Niederreiter, Harald 1944- Winterhof, Arne |
author_GND | (DE-588)117716979 |
author_facet | Niederreiter, Harald 1944- Winterhof, Arne |
author_role | aut aut |
author_sort | Niederreiter, Harald 1944- |
author_variant | h n hn a w aw |
building | Verbundindex |
bvnumber | BV043209006 |
classification_rvk | SK 280 SK 180 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
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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 |
doi_str_mv | 10.1007/978-3-319-22321-6 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2025-01-11T19:20:21Z |
institution | BVB |
isbn | 9783319223216 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632167 |
oclc_num | 923644677 |
open_access_boolean | |
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physical | 1 Online Ressource (X, 442 Seiten, 20 illus., 7 illus. in color) |
psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | Springer |
record_format | marc |
spellingShingle | Niederreiter, Harald 1944- Winterhof, Arne Applied number theory Mathematics Data structures (Computer science) Information theory Number theory Number Theory Information and Communication, Circuits Data Structures, Cryptology and Information Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4067277-3 |
title | Applied number theory |
title_auth | Applied number theory |
title_exact_search | Applied number theory |
title_full | Applied number theory Harald Niederreiter, Arne Winterhof |
title_fullStr | Applied number theory Harald Niederreiter, Arne Winterhof |
title_full_unstemmed | Applied number theory Harald Niederreiter, Arne Winterhof |
title_short | Applied number theory |
title_sort | applied number theory |
topic | Mathematics Data structures (Computer science) Information theory Number theory Number Theory Information and Communication, Circuits Data Structures, Cryptology and Information Theory Mathematik Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Mathematics Data structures (Computer science) Information theory Number theory Number Theory Information and Communication, Circuits Data Structures, Cryptology and Information Theory Mathematik Zahlentheorie |
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