Studying mathematics: the beauty, the toil and the method
This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other:...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2018]
|
| Schlagworte: | |
| Online-Zugang: | DE-739 Volltext |
| Zusammenfassung: | This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions "for all", "there exists", "implies", "is false", ..; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C) |
| Beschreibung: | 1 Online-Ressource (XVII, 398 Seiten) Illustrationen, Diagramme |
| ISBN: | 9783319913551 |
| DOI: | 10.1007/978-3-319-91355-1 |
Internformat
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| 520 | 3 | |a This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions "for all", "there exists", "implies", "is false", ..; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C) | |
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Datensatz im Suchindex
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| author | Bramanti, Marco 1963- Travaglini, Giancarlo |
| author_GND | (DE-588)140795340 (DE-588)1073218651 |
| author_facet | Bramanti, Marco 1963- Travaglini, Giancarlo |
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| author_variant | m b mb g t gt |
| building | Verbundindex |
| bvnumber | BV045112209 |
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| ctrlnum | (ZDB-2-EDA)9783319913551 (OCoLC)1048211750 (DE-599)BVBBV045112209 |
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| dewey-ones | 370 - Education |
| dewey-raw | 370 |
| dewey-search | 370 |
| dewey-sort | 3370 |
| dewey-tens | 370 - Education |
| discipline | Pädagogik Mathematik |
| doi_str_mv | 10.1007/978-3-319-91355-1 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-17T00:11:33Z |
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| isbn | 9783319913551 |
| language | English |
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| spelling | Bramanti, Marco 1963- Verfasser (DE-588)140795340 aut Studying mathematics the beauty, the toil and the method Marco Bramanti, Giancarlo Travaglini Cham, Switzerland Springer [2018] © 2018 1 Online-Ressource (XVII, 398 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions "for all", "there exists", "implies", "is false", ..; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C) Mathematics Education Learning & Instruction Education Mathematics Study and teaching Vorbereitung (DE-588)4188638-0 gnd rswk-swf Mathematikstudium (DE-588)4037947-4 gnd rswk-swf Collegestudent (DE-588)4315181-4 gnd rswk-swf Collegestudent (DE-588)4315181-4 s Mathematikstudium (DE-588)4037947-4 s Vorbereitung (DE-588)4188638-0 s DE-188 Travaglini, Giancarlo Verfasser (DE-588)1073218651 aut Erscheint auch als Druck-Ausgabe 978-3-319-91354-4 https://doi.org/10.1007/978-3-319-91355-1 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bramanti, Marco 1963- Travaglini, Giancarlo Studying mathematics the beauty, the toil and the method Mathematics Education Learning & Instruction Education Mathematics Study and teaching Vorbereitung (DE-588)4188638-0 gnd Mathematikstudium (DE-588)4037947-4 gnd Collegestudent (DE-588)4315181-4 gnd |
| subject_GND | (DE-588)4188638-0 (DE-588)4037947-4 (DE-588)4315181-4 |
| title | Studying mathematics the beauty, the toil and the method |
| title_auth | Studying mathematics the beauty, the toil and the method |
| title_exact_search | Studying mathematics the beauty, the toil and the method |
| title_full | Studying mathematics the beauty, the toil and the method Marco Bramanti, Giancarlo Travaglini |
| title_fullStr | Studying mathematics the beauty, the toil and the method Marco Bramanti, Giancarlo Travaglini |
| title_full_unstemmed | Studying mathematics the beauty, the toil and the method Marco Bramanti, Giancarlo Travaglini |
| title_short | Studying mathematics |
| title_sort | studying mathematics the beauty the toil and the method |
| title_sub | the beauty, the toil and the method |
| topic | Mathematics Education Learning & Instruction Education Mathematics Study and teaching Vorbereitung (DE-588)4188638-0 gnd Mathematikstudium (DE-588)4037947-4 gnd Collegestudent (DE-588)4315181-4 gnd |
| topic_facet | Mathematics Education Learning & Instruction Education Mathematics Study and teaching Vorbereitung Mathematikstudium Collegestudent |
| url | https://doi.org/10.1007/978-3-319-91355-1 |
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