Mathematical concepts:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham
Springer
[2015]
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Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online Ressource (XV, 312 Seiten, 130 illus., 16 illus. in color) |
ISBN: | 9783319204369 |
DOI: | 10.1007/978-3-319-20436-9 |
Internformat
MARC
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650 | 4 | |a Convex geometry | |
650 | 4 | |a Discrete geometry | |
650 | 4 | |a Differential geometry | |
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650 | 4 | |a Algebraic Geometry | |
650 | 4 | |a Category Theory, Homological Algebra | |
650 | 4 | |a General Algebraic Systems | |
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650 | 4 | |a Differential Geometry | |
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Datensatz im Suchindex
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adam_text | MATHEMATICAL CONCEPTS
/ JOST, JUERGEN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
OVERVIEW AND PERSPECTIVE
FOUNDATIONS
RELATIONS
SPACES
WHAT IS SPACE?
SPACES OF RELATIONS
STRUCTURES
CATEGORIES
TOPOI
A REVIEW OF EXAMPLES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICAL CONCEPTS
/ JOST, JUERGEN
: 2015
ABSTRACT / INHALTSTEXT
THE MAIN INTENTION OF THIS BOOK IS TO DESCRIBE AND DEVELOP THE
CONCEPTUAL, STRUCTURAL AND ABSTRACT THINKING OF MATHEMATICS. SPECIFIC
MATHEMATICAL STRUCTURES ARE USED TO ILLUSTRATE THE CONCEPTUAL APPROACH;
PROVIDING A DEEPER INSIGHT INTO MUTUAL RELATIONSHIPS AND ABSTRACT COMMON
FEATURES. THESE IDEAS ARE CAREFULLY MOTIVATED, EXPLAINED AND ILLUSTRATED
BY EXAMPLES SO THAT MANY OF THE MORE TECHNICAL PROOFS CAN BE OMITTED.
THE BOOK CAN THEREFORE BE USED: SIMPLY AS AN OVERVIEW
OF THE PANORAMA OF MATHEMATICAL STRUCTURES AND THE RELATIONS BETWEEN
THEM, TO BE SUPPLEMENTED BY MORE DETAILED TEXTS WHENEVER YOU WANT TO
ACQUIRE A WORKING KNOWLEDGE OF SOME STRUCTURE BY
ITSELF AS A FIRST INTRODUCTION TO ABSTRACT MATHEMATICS
TOGETHER WITH EXISTING TEXTBOOKS, TO PUT THEIR
RESULTS INTO A MORE GENERAL PERSPECTIVE TO GAIN A NEW
AND HOPEFULLY DEEPER PERSPECTIVE AFTER HAVING STUDIED SUCH TEXTBOOKS
MATHEMATICAL CONCEPTS HAS A BROADER SCOPE AND IS LESS DETAILED THAN
STANDARD MATHEMATICAL TEXTBOOKS SO THAT THE READER CAN READILY GRASP THE
ESSENTIAL CONCEPTS AND IDEAS FOR INDIVIDUAL NEEDS. IT WILL BE SUITABLE
FOR ADVANCED MATHEMATICIANS, POSTGRADUATE STUDENTS AND FOR SCIENTISTS
FROM OTHER FIELDS WITH SOME BACKGROUND IN FORMAL REASONING.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Jost, Jürgen 1956- |
author_GND | (DE-588)115774564 |
author_facet | Jost, Jürgen 1956- |
author_role | aut |
author_sort | Jost, Jürgen 1956- |
author_variant | j j jj |
building | Verbundindex |
bvnumber | BV043208925 |
classification_rvk | SK 110 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)923656885 (DE-599)BVBBV043208925 |
dewey-full | 516.35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.35 |
dewey-search | 516.35 |
dewey-sort | 3516.35 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-20436-9 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:20:34Z |
institution | BVB |
isbn | 9783319204369 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632086 |
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physical | 1 Online Ressource (XV, 312 Seiten, 130 illus., 16 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 |
spelling | Jost, Jürgen 1956- Verfasser (DE-588)115774564 aut Mathematical concepts Jürgen Jost Cham Springer [2015] © 2015 1 Online Ressource (XV, 312 Seiten, 130 illus., 16 illus. in color) txt rdacontent c rdamedia cr rdacarrier Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Algebra Convex geometry Discrete geometry Differential geometry Biomathematics Algebraic Geometry Category Theory, Homological Algebra General Algebraic Systems Convex and Discrete Geometry Differential Geometry Mathematical and Computational Biology Mathematik Erscheint auch als Druckausgabe 978-3-319-20435-2 https://doi.org/10.1007/978-3-319-20436-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632086&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632086&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Jost, Jürgen 1956- Mathematical concepts Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Algebra Convex geometry Discrete geometry Differential geometry Biomathematics Algebraic Geometry Category Theory, Homological Algebra General Algebraic Systems Convex and Discrete Geometry Differential Geometry Mathematical and Computational Biology Mathematik |
title | Mathematical concepts |
title_auth | Mathematical concepts |
title_exact_search | Mathematical concepts |
title_full | Mathematical concepts Jürgen Jost |
title_fullStr | Mathematical concepts Jürgen Jost |
title_full_unstemmed | Mathematical concepts Jürgen Jost |
title_short | Mathematical concepts |
title_sort | mathematical concepts |
topic | Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Algebra Convex geometry Discrete geometry Differential geometry Biomathematics Algebraic Geometry Category Theory, Homological Algebra General Algebraic Systems Convex and Discrete Geometry Differential Geometry Mathematical and Computational Biology Mathematik |
topic_facet | Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Algebra Convex geometry Discrete geometry Differential geometry Biomathematics Algebraic Geometry Category Theory, Homological Algebra General Algebraic Systems Convex and Discrete Geometry Differential Geometry Mathematical and Computational Biology Mathematik |
url | https://doi.org/10.1007/978-3-319-20436-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632086&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=028632086&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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