Foundations of Mathematics: Questions of Analysis, Geometry & Algorithmics
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-642-78052-3 |
| Beschreibung: | This book appeared about ten years ago in German. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathematical stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a LATEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomatics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint". Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foundation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm |
| Umfang: | 1 Online-Ressource (V, 100p. 29 illus) |
| ISBN: | 9783642780523 9783642780547 |
| DOI: | 10.1007/978-3-642-78052-3 |
Internformat
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| 500 | |a This book appeared about ten years ago in German. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathematical stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a LATEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomatics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint". Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foundation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm | ||
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Datensatz im Suchindex
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| author | Engeler, Erwin 1930- |
| author_GND | (DE-588)1089102372 |
| author_facet | Engeler, Erwin 1930- |
| author_role | aut |
| author_sort | Engeler, Erwin 1930- |
| author_variant | e e ee |
| building | Verbundindex |
| bvnumber | BV042422998 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863807944 (DE-599)BVBBV042422998 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-78052-3 |
| format | Electronic eBook |
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| id | DE-604.BV042422998 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:47Z |
| institution | BVB |
| isbn | 9783642780523 9783642780547 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858415 |
| oclc_num | 863807944 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (V, 100p. 29 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| spellingShingle | Engeler, Erwin 1930- Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics Mathematics Global analysis (Mathematics) Numerical analysis Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Analysis Numerical Analysis Mathematik Analysis (DE-588)4001865-9 gnd Metamathematik (DE-588)4074759-1 gnd Schulmathematik (DE-588)4153188-7 gnd Axiom (DE-588)4128560-8 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4074759-1 (DE-588)4153188-7 (DE-588)4128560-8 |
| title | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics |
| title_auth | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics |
| title_exact_search | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics |
| title_full | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics by Erwin Engeler |
| title_fullStr | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics by Erwin Engeler |
| title_full_unstemmed | Foundations of Mathematics Questions of Analysis, Geometry & Algorithmics by Erwin Engeler |
| title_short | Foundations of Mathematics |
| title_sort | foundations of mathematics questions of analysis geometry algorithmics |
| title_sub | Questions of Analysis, Geometry & Algorithmics |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Analysis Numerical Analysis Mathematik Analysis (DE-588)4001865-9 gnd Metamathematik (DE-588)4074759-1 gnd Schulmathematik (DE-588)4153188-7 gnd Axiom (DE-588)4128560-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Geometry Logic, Symbolic and mathematical Mathematical Logic and Foundations Analysis Numerical Analysis Mathematik Metamathematik Schulmathematik Axiom |
| url | https://doi.org/10.1007/978-3-642-78052-3 |
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