Discrete Algebraic Methods :: Arithmetic, Cryptography, Automata and Groups /
From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for theoretical computer s...
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English German |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2016]
|
| Schriftenreihe: | De Gruyter textbook.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for theoretical computer science and is suitable for master students with a basic background in mathematics. The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role. The last chapter is devoted to combinatorial group theory and its connections to automata. |
| Beschreibung: | 1 online resource (354 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110416329 3110416328 |
Internformat
MARC
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| 245 | 0 | 0 | |a Discrete Algebraic Methods : |b Arithmetic, Cryptography, Automata and Groups / |c Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2016] | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (354 pages) | ||
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| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016). | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1. Algebraic structures -- |t 2. Cryptography -- |t 3. Number theoretic algorithms -- |t 4. Polynomial time primality test -- |t 5. Elliptic curves -- |t 6. Combinatorics on words -- |t 7. Automata -- |t 8. Discrete infinite groups -- |t Solutions to exercises -- |t Bibliography -- |t Index. |
| 520 | |a From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for theoretical computer science and is suitable for master students with a basic background in mathematics. | ||
| 520 | |a The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role. The last chapter is devoted to combinatorial group theory and its connections to automata. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 650 | 0 | |a Algorithms |x Textbooks. | |
| 650 | 0 | |a Computer science |x Textbooks |x Mathematics. | |
| 650 | 0 | |a Cryptography |x Textbooks. | |
| 650 | 0 | |a Ordered algebraic structures |x Textbooks. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Algorithms |2 fast | |
| 650 | 7 | |a Cryptography |2 fast | |
| 650 | 7 | |a Ordered algebraic structures |2 fast | |
| 650 | 7 | |a Diskrete Mathematik |2 gnd | |
| 650 | 7 | |a Algebraische Methode |2 gnd |0 http://d-nb.info/gnd/4141841-4 | |
| 655 | 7 | |a Textbooks |2 fast | |
| 700 | 1 | |a Hertrampf, Ulrich. | |
| 700 | 1 | |a Kufleitner, Manfred. | |
| 700 | 1 | |a Rosenberger, Gerhard. | |
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| 776 | 0 | 8 | |i Print version: |n Online-Ausgabe |a Diekert, Volker, 1955. |t Discrete algebraic methods |
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Datensatz im Suchindex
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| callnumber-first | Q - Science |
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| contents | Frontmatter -- Preface -- Contents -- 1. Algebraic structures -- 2. Cryptography -- 3. Number theoretic algorithms -- 4. Polynomial time primality test -- 5. Elliptic curves -- 6. Combinatorics on words -- 7. Automata -- 8. Discrete infinite groups -- Solutions to exercises -- Bibliography -- Index. |
| ctrlnum | (OCoLC)953920693 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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Algebraic structures --</subfield><subfield code="t">2. Cryptography --</subfield><subfield code="t">3. Number theoretic algorithms --</subfield><subfield code="t">4. Polynomial time primality test --</subfield><subfield code="t">5. Elliptic curves --</subfield><subfield code="t">6. Combinatorics on words --</subfield><subfield code="t">7. Automata --</subfield><subfield code="t">8. Discrete infinite groups --</subfield><subfield code="t">Solutions to exercises --</subfield><subfield code="t">Bibliography --</subfield><subfield code="t">Index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. 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| genre | Textbooks fast |
| genre_facet | Textbooks |
| id | ZDB-4-EBA-ocn953920693 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:27:18Z |
| institution | BVB |
| isbn | 9783110416329 3110416328 |
| language | English German |
| oclc_num | 953920693 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (354 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter textbook. |
| series2 | De Gruyter Textbook |
| spelling | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf. Berlin ; Boston : De Gruyter, [2016] ©2016 1 online resource (354 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file De Gruyter Textbook In English. Online resource; title from PDF title page (publisher's Web site, viewed May 30, 2016). Frontmatter -- Preface -- Contents -- 1. Algebraic structures -- 2. Cryptography -- 3. Number theoretic algorithms -- 4. Polynomial time primality test -- 5. Elliptic curves -- 6. Combinatorics on words -- 7. Automata -- 8. Discrete infinite groups -- Solutions to exercises -- Bibliography -- Index. From basic algebraic structures to cryptography, arithmetic with elliptic curves, and automata - this textbook contains a modern introduction to discrete algebraic methods as required by mathematicians and computer scientists in the age of the internet. It lays foundations for theoretical computer science and is suitable for master students with a basic background in mathematics. The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role. The last chapter is devoted to combinatorial group theory and its connections to automata. Includes bibliographical references and index. Algorithms Textbooks. Computer science Textbooks Mathematics. Cryptography Textbooks. Ordered algebraic structures Textbooks. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Algorithms fast Cryptography fast Ordered algebraic structures fast Diskrete Mathematik gnd Algebraische Methode gnd http://d-nb.info/gnd/4141841-4 Textbooks fast Hertrampf, Ulrich. Kufleitner, Manfred. Rosenberger, Gerhard. Print version: 9783110413328 3110413329 (DLC) 2016013335 (OCoLC)931647817 Print version: Online-Ausgabe Diekert, Volker, 1955. Discrete algebraic methods De Gruyter textbook. http://id.loc.gov/authorities/names/n94049545 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1243248 Volltext |
| spellingShingle | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / De Gruyter textbook. Frontmatter -- Preface -- Contents -- 1. Algebraic structures -- 2. Cryptography -- 3. Number theoretic algorithms -- 4. Polynomial time primality test -- 5. Elliptic curves -- 6. Combinatorics on words -- 7. Automata -- 8. Discrete infinite groups -- Solutions to exercises -- Bibliography -- Index. Algorithms Textbooks. Computer science Textbooks Mathematics. Cryptography Textbooks. Ordered algebraic structures Textbooks. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Algorithms fast Cryptography fast Ordered algebraic structures fast Diskrete Mathematik gnd Algebraische Methode gnd http://d-nb.info/gnd/4141841-4 |
| subject_GND | http://d-nb.info/gnd/4141841-4 |
| title | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / |
| title_alt | Frontmatter -- Preface -- Contents -- 1. Algebraic structures -- 2. Cryptography -- 3. Number theoretic algorithms -- 4. Polynomial time primality test -- 5. Elliptic curves -- 6. Combinatorics on words -- 7. Automata -- 8. Discrete infinite groups -- Solutions to exercises -- Bibliography -- Index. |
| title_auth | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / |
| title_exact_search | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / |
| title_full | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf. |
| title_fullStr | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf. |
| title_full_unstemmed | Discrete Algebraic Methods : Arithmetic, Cryptography, Automata and Groups / Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf. |
| title_short | Discrete Algebraic Methods : |
| title_sort | discrete algebraic methods arithmetic cryptography automata and groups |
| title_sub | Arithmetic, Cryptography, Automata and Groups / |
| topic | Algorithms Textbooks. Computer science Textbooks Mathematics. Cryptography Textbooks. Ordered algebraic structures Textbooks. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Algorithms fast Cryptography fast Ordered algebraic structures fast Diskrete Mathematik gnd Algebraische Methode gnd http://d-nb.info/gnd/4141841-4 |
| topic_facet | Algorithms Textbooks. Computer science Textbooks Mathematics. Cryptography Textbooks. Ordered algebraic structures Textbooks. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Algorithms Cryptography Ordered algebraic structures Diskrete Mathematik Algebraische Methode Textbooks |
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