ISBN: 9780387941080
ID: 692780651
The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, 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, exam ples, 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 narra tives 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. A First Course in Analysis Bücher > Fremdsprachige Bücher > Englische Bücher gebundene Ausgabe 11.03.1994, Springer, .199
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ISBN: 9780387941080
ID: 574820014
The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, 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, exam ples, 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 narra tives 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. A First Course in Analysis Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer
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ISBN: 9780387941080
ID: 2fd8008d37ed1eee2fa8d902e881ca2c
A First Course in Analysis The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, 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, exam ples, 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 narra tives 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-94108-0, Springer
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ISBN: 9780387941080
ID: 35faf9a5887fef217b2bd5e67b5a8596
1994, 308 Seiten, Maße: 15,5 x 23,5 cm, Gebunden, Englisch PThis text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation./P Buch / Wissenschaft & Technik / Mathematik, Springer
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1994, ISBN: 9780387941080
ID: 6742AB
New York, Springer, 1994., XXI, 278 p. Hardcover Undergraduate Texts in Mathematics.; Undergraduate Texts in Mathematics.
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Author: | |
Title: | A First Course in Analysis |
ISBN: | 0387941088 |
Details of the book - A First Course in Analysis
EAN (ISBN-13): 9780387941080
ISBN (ISBN-10): 0387941088
Hardcover
Publishing year: 2007
Publisher: Springer-Verlag GmbH
306 Pages
Weight: 0,625 kg
Language: eng/Englisch
Book in our database since 15.11.2007 16:39:54
Book found last time on 07.10.2016 18:28:08
ISBN/EAN: 0387941088
ISBN - alternate spelling:
0-387-94108-8, 978-0-387-94108-0
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