A First Course in Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1994
|
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curriculum, presents special pedagogical challenges. There is a change of stress from computational manipulation to "proof. " Indeed, the course can become more a course in Logic than one in Analysis. Many students, caught short by a weak command of the means of mathematical discourse and unsure of what is expected of them, what "the game" is, suffer bouts of a kind of mental paralysis. This text attempts to address these problems in several ways: First, we have attempted to define "the game" as that of "inquiry," by using a form of exposition that begins with a question and proceeds to analyze, ultimately to answer it, bringing in definitions, arguments, conjectures, examples, etc. , as they arise naturally in the course of a narrative discussion of the question. (The true, historical narrative is too convoluted to serve for first explanations, so no attempt at historical accuracy has been made; our narratives are completely contrived. ) Second, we have kept the logic informal, especially in the course of preliminary speculative discussions, where common sense and plausibility tempered by mild skepticism- serve to energize the inquiry |
| Beschreibung: | 1 Online-Ressource (XXI, 279 p) |
| ISBN: | 9781441985545 9781461264354 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4419-8554-5 |
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Datensatz im Suchindex
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4419-8554-5 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
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| isbn | 9781441985545 9781461264354 |
| issn | 0172-6056 |
| language | English |
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| spelling | Pedrick, George Verfasser aut A First Course in Analysis by George Pedrick New York, NY Springer New York 1994 1 Online-Ressource (XXI, 279 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curriculum, presents special pedagogical challenges. There is a change of stress from computational manipulation to "proof. " Indeed, the course can become more a course in Logic than one in Analysis. Many students, caught short by a weak command of the means of mathematical discourse and unsure of what is expected of them, what "the game" is, suffer bouts of a kind of mental paralysis. This text attempts to address these problems in several ways: First, we have attempted to define "the game" as that of "inquiry," by using a form of exposition that begins with a question and proceeds to analyze, ultimately to answer it, bringing in definitions, arguments, conjectures, examples, etc. , as they arise naturally in the course of a narrative discussion of the question. (The true, historical narrative is too convoluted to serve for first explanations, so no attempt at historical accuracy has been made; our narratives are completely contrived. ) Second, we have kept the logic informal, especially in the course of preliminary speculative discussions, where common sense and plausibility tempered by mild skepticism- serve to energize the inquiry Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4419-8554-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pedrick, George A First Course in Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4072798-1 |
| title | A First Course in Analysis |
| title_auth | A First Course in Analysis |
| title_exact_search | A First Course in Analysis |
| title_full | A First Course in Analysis by George Pedrick |
| title_fullStr | A First Course in Analysis by George Pedrick |
| title_full_unstemmed | A First Course in Analysis by George Pedrick |
| title_short | A First Course in Analysis |
| title_sort | a first course in analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Infinitesimalrechnung |
| url | https://doi.org/10.1007/978-1-4419-8554-5 |
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