A First Course in Calculus:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1986
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Ausgabe: | Fifth Edition |
Schriftenreihe: | Undergraduate Texts in Mathematics
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applications which accompany them. The very talented students, with an obvious aptitude for mathematics, will rapidly require a course in functions of one real variable, more or less as it is understood by professional is not primarily addressed to them (although mathematicians. This book I hope they will be able to acquire from it a good introduction at an early age). I have not written this course in the style I would use for an advanced monograph, on sophisticated topics. One writes an advanced monograph for oneself, because one wants to give permanent form to one's vision of some beautiful part of mathematics, not otherwise accessible, somewhat in the manner of a composer setting down his sym phony in musical notation. This book is written for the students to give them an immediate, and pleasant, access to the subject. I hope that I have struck a proper compromise, between dwelling too much on special details and not giving enough technical exercises, necessary to acquire the desired familiarity with the subject. In any case, certain routine habits of sophisticated mathematicians are unsuitable for a first course. Rigor. This does not mean that so-called rigor has to be abandoned |
Beschreibung: | 1 Online-Ressource (XV, 731 p) |
ISBN: | 9781441985323 9781461264286 |
ISSN: | 0172-6056 |
DOI: | 10.1007/978-1-4419-8532-3 |
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Datensatz im Suchindex
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any_adam_object | |
author | Lang, Serge |
author_facet | Lang, Serge |
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author_sort | Lang, Serge |
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dewey-search | 515.8 |
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dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4419-8532-3 |
edition | Fifth Edition |
format | Electronic eBook |
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spelling | Lang, Serge Verfasser aut A First Course in Calculus by Serge Lang Fifth Edition New York, NY Springer New York 1986 1 Online-Ressource (XV, 731 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applications which accompany them. The very talented students, with an obvious aptitude for mathematics, will rapidly require a course in functions of one real variable, more or less as it is understood by professional is not primarily addressed to them (although mathematicians. This book I hope they will be able to acquire from it a good introduction at an early age). I have not written this course in the style I would use for an advanced monograph, on sophisticated topics. One writes an advanced monograph for oneself, because one wants to give permanent form to one's vision of some beautiful part of mathematics, not otherwise accessible, somewhat in the manner of a composer setting down his sym phony in musical notation. This book is written for the students to give them an immediate, and pleasant, access to the subject. I hope that I have struck a proper compromise, between dwelling too much on special details and not giving enough technical exercises, necessary to acquire the desired familiarity with the subject. In any case, certain routine habits of sophisticated mathematicians are unsuitable for a first course. Rigor. This does not mean that so-called rigor has to be abandoned Mathematics Real Functions Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Infinitesimalrechnung (DE-588)4072798-1 s 2\p DE-604 Analysis (DE-588)4001865-9 s 3\p DE-604 https://doi.org/10.1007/978-1-4419-8532-3 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 | Lang, Serge A First Course in Calculus Mathematics Real Functions Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd |
subject_GND | (DE-588)4072798-1 (DE-588)4001865-9 (DE-588)4151278-9 |
title | A First Course in Calculus |
title_auth | A First Course in Calculus |
title_exact_search | A First Course in Calculus |
title_full | A First Course in Calculus by Serge Lang |
title_fullStr | A First Course in Calculus by Serge Lang |
title_full_unstemmed | A First Course in Calculus by Serge Lang |
title_short | A First Course in Calculus |
title_sort | a first course in calculus |
topic | Mathematics Real Functions Mathematik Infinitesimalrechnung (DE-588)4072798-1 gnd Analysis (DE-588)4001865-9 gnd |
topic_facet | Mathematics Real Functions Mathematik Infinitesimalrechnung Analysis Einführung |
url | https://doi.org/10.1007/978-1-4419-8532-3 |
work_keys_str_mv | AT langserge afirstcourseincalculus |