An Outline of Set Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1986
|
| Schriftenreihe: | Problem Books in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's famous method developed in recent years by D. W. Cohen [1]. Briefly, in this new approach, projects are assigned to groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio neers |
| Beschreibung: | 1 Online-Ressource (VIII, 146 p) |
| ISBN: | 9781461386803 9780387963686 |
| ISSN: | 0941-3502 |
| DOI: | 10.1007/978-1-4613-8680-3 |
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| 245 | 1 | 0 | |a An Outline of Set Theory |c by James M. Henle |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
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| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-8680-3 |
| format | Electronic eBook |
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| isbn | 9781461386803 9780387963686 |
| issn | 0941-3502 |
| language | English |
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| spelling | Henle, James M. Verfasser aut An Outline of Set Theory by James M. Henle New York, NY Springer New York 1986 1 Online-Ressource (VIII, 146 p) txt rdacontent c rdamedia cr rdacarrier Problem Books in Mathematics 0941-3502 This book is designed for use in a one semester problem-oriented course in undergraduate set theory. The combination of level and format is somewhat unusual and deserves an explanation. Normally, problem courses are offered to graduate students or selected undergraduates. I have found, however, that the experience is equally valuable to ordinary mathematics majors. I use a recent modification of R. L. Moore's famous method developed in recent years by D. W. Cohen [1]. Briefly, in this new approach, projects are assigned to groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio neers Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mengenlehre (DE-588)4074715-3 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Mengenlehre (DE-588)4074715-3 s 2\p DE-604 Mathematische Logik (DE-588)4037951-6 s 3\p DE-604 https://doi.org/10.1007/978-1-4613-8680-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Henle, James M. An Outline of Set Theory Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mengenlehre (DE-588)4074715-3 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4074715-3 (DE-588)4037951-6 (DE-588)4143389-0 |
| title | An Outline of Set Theory |
| title_auth | An Outline of Set Theory |
| title_exact_search | An Outline of Set Theory |
| title_full | An Outline of Set Theory by James M. Henle |
| title_fullStr | An Outline of Set Theory by James M. Henle |
| title_full_unstemmed | An Outline of Set Theory by James M. Henle |
| title_short | An Outline of Set Theory |
| title_sort | an outline of set theory |
| topic | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mengenlehre (DE-588)4074715-3 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Mathematics Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematik Mengenlehre Mathematische Logik Aufgabensammlung |
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