An elementary overview of mathematical structures: algebra, topology and categories
Algebraic structures, I -- Algebraic structures, II -- Topological structures, I -- Topological structures, II -- Categories and functors -- Categorical limits and adjunctions -- Solutions and hints
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2021]
|
Schlagworte: | |
Online-Zugang: | kostenfrei |
Zusammenfassung: | Algebraic structures, I -- Algebraic structures, II -- Topological structures, I -- Topological structures, II -- Categories and functors -- Categorical limits and adjunctions -- Solutions and hints "Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces. More recently, these structured sets and their transformations have been assembled in higher structures, called categories. We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more. This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering"-- |
Beschreibung: | Includes bibliographical references and index |
Beschreibung: | x, 382 Seiten |
ISBN: | 9789811220319 |
Internformat
MARC
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035 | |a (OCoLC)1284796351 | ||
035 | |a (DE-599)KXP1734794445 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
044 | |a xxu |c XD-US | ||
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084 | |a 18-01 |2 msc | ||
084 | |a 13-01 |2 msc | ||
100 | 1 | |a Grandis, Marco |0 (DE-588)139362908 |4 aut | |
245 | 1 | 0 | |a An elementary overview of mathematical structures |b algebra, topology and categories |c Marco Grandis ; Università di Genova, Italy |
264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2021] | |
300 | |a x, 382 Seiten | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Includes bibliographical references and index | ||
520 | 3 | |a Algebraic structures, I -- Algebraic structures, II -- Topological structures, I -- Topological structures, II -- Categories and functors -- Categorical limits and adjunctions -- Solutions and hints | |
520 | 3 | |a "Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces. More recently, these structured sets and their transformations have been assembled in higher structures, called categories. We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more. This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering"-- | |
650 | 0 | 7 | |a Diskrete Mathematik |0 (DE-588)4129143-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Topologie |0 (DE-588)4060425-1 |2 gnd |9 rswk-swf |
653 | 0 | |a Categories (Mathematics) / Textbooks | |
653 | 0 | |a Discrete mathematics / Textbooks | |
653 | 0 | |a Topology / Textbooks | |
689 | 0 | 0 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |D s |
689 | 0 | 1 | |a Diskrete Mathematik |0 (DE-588)4129143-8 |D s |
689 | 0 | 2 | |a Topologie |0 (DE-588)4060425-1 |D s |
689 | 0 | |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |a Grandis, Marco |t Elementary overview of mathematical structures |d New Jersey : World Scientific, [2021] |n Online-Ausgabe |z 978-981-122-033-3 |
776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-981-122-032-6 |
856 | 4 | 2 | |u https://www.zbmath.org/?q=an%3A07206745 |y zbMATH |z kostenfrei |
999 | |a oai:aleph.bib-bvb.de:BVB01-032873895 |
Datensatz im Suchindex
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adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | Grandis, Marco |
author_GND | (DE-588)139362908 |
author_facet | Grandis, Marco |
author_role | aut |
author_sort | Grandis, Marco |
author_variant | m g mg |
building | Verbundindex |
bvnumber | BV047472248 |
callnumber-first | Q - Science |
callnumber-label | QA169 |
callnumber-raw | QA169 |
callnumber-search | QA169 |
callnumber-sort | QA 3169 |
callnumber-subject | QA - Mathematics |
classification_tum | MAT 001 |
ctrlnum | (OCoLC)1284796351 (DE-599)KXP1734794445 |
dewey-full | 512/.55 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.55 |
dewey-search | 512/.55 |
dewey-sort | 3512 255 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
format | Book |
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id | DE-604.BV047472248 |
illustrated | Not Illustrated |
index_date | 2024-07-03T18:09:46Z |
indexdate | 2024-07-10T09:13:03Z |
institution | BVB |
isbn | 9789811220319 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032873895 |
oclc_num | 1284796351 |
open_access_boolean | 1 |
owner | DE-91G DE-BY-TUM DE-83 |
owner_facet | DE-91G DE-BY-TUM DE-83 |
physical | x, 382 Seiten |
publishDate | 2021 |
publishDateSearch | 2021 |
publishDateSort | 2021 |
publisher | World Scientific |
record_format | marc |
spelling | Grandis, Marco (DE-588)139362908 aut An elementary overview of mathematical structures algebra, topology and categories Marco Grandis ; Università di Genova, Italy New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2021] x, 382 Seiten txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Algebraic structures, I -- Algebraic structures, II -- Topological structures, I -- Topological structures, II -- Categories and functors -- Categorical limits and adjunctions -- Solutions and hints "Since the last century, a large part of Mathematics is concerned with the study of mathematical structures, from groups to fields and vector spaces, from lattices to Boolean algebras, from metric spaces to topological spaces, from topological groups to Banach spaces. More recently, these structured sets and their transformations have been assembled in higher structures, called categories. We want to give a structural overview of these topics, where the basic facts of the different theories are unified through the 'universal properties' that they satisfy, and their particularities stand out, perhaps even more. This book can be used as a textbook for undergraduate studies and for self-study. It can provide students of Mathematics with a unified perspective of subjects which are often kept apart. It is also addressed to students and researchers of disciplines having strong interactions with Mathematics, like Physics and Chemistry, Statistics, Computer Science, Engineering"-- Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Categories (Mathematics) / Textbooks Discrete mathematics / Textbooks Topology / Textbooks Kategorie Mathematik (DE-588)4129930-9 s Diskrete Mathematik (DE-588)4129143-8 s Topologie (DE-588)4060425-1 s DE-604 Erscheint auch als Grandis, Marco Elementary overview of mathematical structures New Jersey : World Scientific, [2021] Online-Ausgabe 978-981-122-033-3 Erscheint auch als Online-Ausgabe 978-981-122-032-6 https://www.zbmath.org/?q=an%3A07206745 zbMATH kostenfrei |
spellingShingle | Grandis, Marco An elementary overview of mathematical structures algebra, topology and categories Diskrete Mathematik (DE-588)4129143-8 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Topologie (DE-588)4060425-1 gnd |
subject_GND | (DE-588)4129143-8 (DE-588)4129930-9 (DE-588)4060425-1 |
title | An elementary overview of mathematical structures algebra, topology and categories |
title_auth | An elementary overview of mathematical structures algebra, topology and categories |
title_exact_search | An elementary overview of mathematical structures algebra, topology and categories |
title_exact_search_txtP | An elementary overview of mathematical structures algebra, topology and categories |
title_full | An elementary overview of mathematical structures algebra, topology and categories Marco Grandis ; Università di Genova, Italy |
title_fullStr | An elementary overview of mathematical structures algebra, topology and categories Marco Grandis ; Università di Genova, Italy |
title_full_unstemmed | An elementary overview of mathematical structures algebra, topology and categories Marco Grandis ; Università di Genova, Italy |
title_short | An elementary overview of mathematical structures |
title_sort | an elementary overview of mathematical structures algebra topology and categories |
title_sub | algebra, topology and categories |
topic | Diskrete Mathematik (DE-588)4129143-8 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Topologie (DE-588)4060425-1 gnd |
topic_facet | Diskrete Mathematik Kategorie Mathematik Topologie |
url | https://www.zbmath.org/?q=an%3A07206745 |
work_keys_str_mv | AT grandismarco anelementaryoverviewofmathematicalstructuresalgebratopologyandcategories |