Algebra and number theory :: a selection of highlights /
Presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.
Gespeichert in:
| Weitere Verfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2017]
|
| Schriftenreihe: | De Gruyter textbook.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. |
| Beschreibung: | 1 online resource (x, 332 pages) |
| Bibliographie: | Includes bibliographical references (page 327) and index. |
| ISBN: | 9783110516142 3110516144 9783110516265 3110516268 |
Internformat
MARC
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| 504 | |a Includes bibliographical references (page 327) and index. | ||
| 520 | |a Presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. | ||
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| 650 | 0 | |a Number theory. |0 http://id.loc.gov/authorities/subjects/sh85093222 | |
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| 880 | 0 | 0 | |6 505-00/(S |t Frontmatter -- |t Preface -- |t Contents -- |t 1. The natural, integral and rational numbers -- |t 2. Division and factorization in the integers -- |t 3. Modular arithmetic -- |t 4. Exceptional numbers -- |t 5. Pythagorean triples and sums of squares -- |t 6. Polynomials and unique factorization -- |t 7. Field extensions and splitting fields -- |t 8. Permutations and symmetric polynomials -- |t 9. Real numbers -- |t 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- |t 11. Quadratic number fields and Pell's equation -- |t 12. Transcendental numbers and the numbers e and π -- |t 13. Compass and straightedge constructions and the classical problems -- |t 14. Euclidean vector spaces -- |t Bibliography -- |t Index. |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1004874654 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:28:01Z |
| institution | BVB |
| isbn | 9783110516142 3110516144 9783110516265 3110516268 |
| language | English |
| oclc_num | 1004874654 |
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| publisher | De Gruyter, |
| record_format | marc |
| series | De Gruyter textbook. |
| series2 | De Gruyter Textbook |
| spelling | Algebra and number theory : a selection of highlights / Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (x, 332 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file De Gruyter Textbook In English. Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). Includes bibliographical references (page 327) and index. Presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history. Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Algèbre. Théorie des nombres. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Number theory fast Algebra gnd Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 (Produktform)Electronic book text (Zielgruppe)Fachhochschul-/Hochschulausbildung (BISAC Subject Heading)MAT002000 (BISAC Subject Heading)MAT022000: MAT022000 MATHEMATICS / Number Theory Primzahl Zahlensystem Elementare Zahlentheorie TB: Textbook Polynom Galois-Theorie (VLB-WN)9620 (Produktrabattgruppe)PN: nicht rabattbeschränkt/Sortimentstitel Gaglione, Anthony. Moldenhauer, Anja. Rosenberger, Gerhard. Spellman, Dennis. has work: Algebra and number theory (Text) https://id.oclc.org/worldcat/entity/E39PCGbQ6f34hjQY4k3V7qprjd https://id.oclc.org/worldcat/ontology/hasWork EPUB 9783110516265 print 9783110515848 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=1595406 Volltext 505-00/(S Frontmatter -- Preface -- Contents -- 1. The natural, integral and rational numbers -- 2. Division and factorization in the integers -- 3. Modular arithmetic -- 4. Exceptional numbers -- 5. Pythagorean triples and sums of squares -- 6. Polynomials and unique factorization -- 7. Field extensions and splitting fields -- 8. Permutations and symmetric polynomials -- 9. Real numbers -- 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations -- 11. Quadratic number fields and Pell's equation -- 12. Transcendental numbers and the numbers e and π -- 13. Compass and straightedge constructions and the classical problems -- 14. Euclidean vector spaces -- Bibliography -- Index. |
| spellingShingle | Algebra and number theory : a selection of highlights / De Gruyter textbook. Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Algèbre. Théorie des nombres. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Number theory fast Algebra gnd Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003425 http://id.loc.gov/authorities/subjects/sh85093222 http://d-nb.info/gnd/4067277-3 |
| title | Algebra and number theory : a selection of highlights / |
| title_auth | Algebra and number theory : a selection of highlights / |
| title_exact_search | Algebra and number theory : a selection of highlights / |
| title_full | Algebra and number theory : a selection of highlights / Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. |
| title_fullStr | Algebra and number theory : a selection of highlights / Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. |
| title_full_unstemmed | Algebra and number theory : a selection of highlights / Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. |
| title_short | Algebra and number theory : |
| title_sort | algebra and number theory a selection of highlights |
| title_sub | a selection of highlights / |
| topic | Algebra. http://id.loc.gov/authorities/subjects/sh85003425 Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Algèbre. Théorie des nombres. algebra. aat MATHEMATICS Algebra Intermediate. bisacsh Algebra fast Number theory fast Algebra gnd Zahlentheorie gnd http://d-nb.info/gnd/4067277-3 |
| topic_facet | Algebra. Number theory. Algèbre. Théorie des nombres. algebra. MATHEMATICS Algebra Intermediate. Algebra Number theory Zahlentheorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1595406 |
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