Structuralism and structures: a mathematical perspective
This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term "structuralism" refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper unders...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1995
|
| Schriftenreihe: | Series in pure mathematics
v. 21 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term "structuralism" refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper understanding of the concept of structure than is provided by the simple intuitive notion of structures that everyone posseses to some degree. Therefore, a large part of the discussion is devoted directly or indirectly to a study of the nature of structures themselves. A formal definition of a structure, plus some basic general properties and examples, is given early in the discussion. Also, in order to clarify the general notions and to see how they are used, the later chapters are devoted to an examination of how structures enter into some special fields, including linguistics, mental phenomena, mathematics (and its applications), and biology (especially in the theory of evolution). Because the author is a mathematician, certain mathematical ideas have influenced greatly the choice and approach to the material covered. In general, however, the mathematical influence is not on a technical level and is often only implicit. Even the chapter on mathematical structures is nontechnical and is about rather than on mathematics. Only in the last chapter and earlier in three short sections does one find any of the expected "formal" mathematics. In other words, the great bulk of the material is accessible to someone without a mathematical background |
| Beschreibung: | xiii, 219 p. ill |
| ISBN: | 9789812831736 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV044636913 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812831736 |
| language | English |
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| oclc_num | 1012698791 |
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| physical | xiii, 219 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | World Scientific Pub. Co. |
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| series2 | Series in pure mathematics |
| spelling | Rickart, C. E. 1913- Verfasser aut Structuralism and structures a mathematical perspective Charles E. Rickart Singapore World Scientific Pub. Co. c1995 xiii, 219 p. ill txt rdacontent c rdamedia cr rdacarrier Series in pure mathematics v. 21 This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term "structuralism" refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper understanding of the concept of structure than is provided by the simple intuitive notion of structures that everyone posseses to some degree. Therefore, a large part of the discussion is devoted directly or indirectly to a study of the nature of structures themselves. A formal definition of a structure, plus some basic general properties and examples, is given early in the discussion. Also, in order to clarify the general notions and to see how they are used, the later chapters are devoted to an examination of how structures enter into some special fields, including linguistics, mental phenomena, mathematics (and its applications), and biology (especially in the theory of evolution). Because the author is a mathematician, certain mathematical ideas have influenced greatly the choice and approach to the material covered. In general, however, the mathematical influence is not on a technical level and is often only implicit. Even the chapter on mathematical structures is nontechnical and is about rather than on mathematics. Only in the last chapter and earlier in three short sections does one find any of the expected "formal" mathematics. In other words, the great bulk of the material is accessible to someone without a mathematical background Mathematics Structuralism Mathematik (DE-588)4037944-9 gnd rswk-swf Strukturalismus (DE-588)4058129-9 gnd rswk-swf Strukturalismus (DE-588)4058129-9 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810218607 Erscheint auch als Druck-Ausgabe 9810218605 http://www.worldscientific.com/worldscibooks/10.1142/2447#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rickart, C. E. 1913- Structuralism and structures a mathematical perspective Mathematics Structuralism Mathematik (DE-588)4037944-9 gnd Strukturalismus (DE-588)4058129-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4058129-9 |
| title | Structuralism and structures a mathematical perspective |
| title_auth | Structuralism and structures a mathematical perspective |
| title_exact_search | Structuralism and structures a mathematical perspective |
| title_full | Structuralism and structures a mathematical perspective Charles E. Rickart |
| title_fullStr | Structuralism and structures a mathematical perspective Charles E. Rickart |
| title_full_unstemmed | Structuralism and structures a mathematical perspective Charles E. Rickart |
| title_short | Structuralism and structures |
| title_sort | structuralism and structures a mathematical perspective |
| title_sub | a mathematical perspective |
| topic | Mathematics Structuralism Mathematik (DE-588)4037944-9 gnd Strukturalismus (DE-588)4058129-9 gnd |
| topic_facet | Mathematics Structuralism Mathematik Strukturalismus |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2447#t=toc |
| work_keys_str_mv | AT rickartce structuralismandstructuresamathematicalperspective |