An invitation to general algebra and universal constructions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (X, 572 S.) 90 illus. |
| ISBN: | 9783319114781 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-319-11478-1 |
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Datensatz im Suchindex
| _version_ | 1804153033388457984 |
|---|---|
| adam_text | AN INVITATION TO GENERAL ALGEBRA AND UNIVERSAL CONSTRUCTIONS
/ BERGMAN, GEORGE M.
: 2015
ABSTRACT / INHALTSTEXT
RICH IN EXAMPLES AND INTUITIVE DISCUSSIONS, THIS BOOK PRESENTS GENERAL
ALGEBRA USING THE UNIFYING VIEWPOINT OF CATEGORIES AND FUNCTORS.
STARTING WITH A SURVEY, IN NON-CATEGORY-THEORETIC TERMS, OF MANY
FAMILIAR AND NOT-SO-FAMILIAR CONSTRUCTIONS IN ALGEBRA (PLUS TWO FROM
TOPOLOGY FOR PERSPECTIVE), THE READER IS GUIDED TO AN UNDERSTANDING AND
APPRECIATION OF THE GENERAL CONCEPTS AND TOOLS UNIFYING THESE
CONSTRUCTIONS. TOPICS INCLUDE: SET THEORY, LATTICES, CATEGORY THEORY,
THE FORMULATION OF UNIVERSAL CONSTRUCTIONS IN CATEGORY-THEORETIC TERMS,
VARIETIES OF ALGEBRAS, AND ADJUNCTIONS. A LARGE NUMBER OF EXERCISES,
FROM THE ROUTINE TO THE CHALLENGING, INTERSPERSED THROUGH THE TEXT,
DEVELOP THE READER S GRASP OF THE MATERIAL, EXHIBIT APPLICATIONS OF THE
GENERAL THEORY TO DIVERSE AREAS OF ALGEBRA, AND IN SOME CASES POINT TO
OUTSTANDING OPEN QUESTIONS. GRADUATE STUDENTS AND RESEARCHERS WISHING TO
GAIN FLUENCY IN IMPORTANT MATHEMATICAL CONSTRUCTIONS WILL WELCOME THIS
CAREFULLY MOTIVATED BOOK
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INVITATION TO GENERAL ALGEBRA AND UNIVERSAL CONSTRUCTIONS
/ BERGMAN, GEORGE M.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 ABOUT THE COURSE, AND THESE NOTES
PART I: MOTIVATION AND EXAMPLES
2 MAKING SOME THINGS PRECISE
3 FREE GROUPS
4 A COOK S TOUR
PART II: BASIC TOOLS AND CONCEPTS
5 ORDERED SETS, INDUCTION, AND THE AXIOM OF CHOICE
6 LATTICES, CLOSURE OPERATORS, AND GALOIS CONNECTIONS
7 CATEGORIES AND FUNCTORS
8 UNIVERSAL CONSTRUCTIONS
9 VARIETIES OF ALGEBRAS
PART III: MORE ON ADJUNCTIONS
10 ALGEBRAS, COALGEBRAS, AND ADJUNCTIONS
REFERENCES
LIST OF EXERCISES
SYMBOL INDEX
WORD AND PHRASE INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bergman, George M. 1943- |
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-11478-1 |
| edition | 2. ed. |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:20:10Z |
| institution | BVB |
| isbn | 9783319114781 |
| issn | 0172-5939 |
| language | English |
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| spelling | Bergman, George M. 1943- Verfasser (DE-588)172970725 aut An invitation to general algebra and universal constructions George M. Bergman 2. ed. Cham [u.a.] Springer 2015 1 Online-Ressource (X, 572 S.) 90 illus. txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Mathematics Algebra General Algebraic Systems Category Theory, Homological Algebra Associative Rings and Algebras Mathematik Erscheint auch als Druckausgabe 978-3-319-11477-4 https://doi.org/10.1007/978-3-319-11478-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823031&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823031&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bergman, George M. 1943- An invitation to general algebra and universal constructions Mathematics Algebra General Algebraic Systems Category Theory, Homological Algebra Associative Rings and Algebras Mathematik |
| title | An invitation to general algebra and universal constructions |
| title_auth | An invitation to general algebra and universal constructions |
| title_exact_search | An invitation to general algebra and universal constructions |
| title_full | An invitation to general algebra and universal constructions George M. Bergman |
| title_fullStr | An invitation to general algebra and universal constructions George M. Bergman |
| title_full_unstemmed | An invitation to general algebra and universal constructions George M. Bergman |
| title_short | An invitation to general algebra and universal constructions |
| title_sort | an invitation to general algebra and universal constructions |
| topic | Mathematics Algebra General Algebraic Systems Category Theory, Homological Algebra Associative Rings and Algebras Mathematik |
| topic_facet | Mathematics Algebra General Algebraic Systems Category Theory, Homological Algebra Associative Rings and Algebras Mathematik |
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