Discrete calculus by analogy /:
Annotation.
Gespeichert in:
1. Verfasser: | |
---|---|
Weitere Verfasser: | , |
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
[Saif Zone, Sharjah, U.A.E.] :
Bentham eBooks,
2009.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Annotation. |
Beschreibung: | 1 online resource (v, 145 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 141-142) and index. |
ISBN: | 9781608050864 1608050866 |
Internformat
MARC
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245 | 1 | 0 | |a Discrete calculus by analogy / |c F.A. Izadi, N. Aliev, G. Bagirov. |
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520 | 8 | |a Annotation. |b With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. The topics covered here usually arise in many branches of science and technology, especially in discrete mathematics, numerical analysis, statistics and probability theory as well as in electrical engineering, but our viewpoint here is that these topics belong to a much more general realm of mathematics; namely calculus and differential equations because of the remarkable analogy of the subject to this branch of mathematics. It is exactly this viewpoint which distinguishes this text from the previous ones. Although the topics are discrete, our approach is absolutely analytic. As in continuous mathematical analysis, we first introduce the main concepts such as the definition of a function, power and exponential functions, discrete differentiation and integration, series expansion, complex analytic functions and their integrals, the Cauchy theorem for analytic functions, as well as the harmonic functions in discrete cases. Then we relate these concepts to the theory of discrete differential equations. | |
650 | 0 | |a Computer science |x Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85042295 | |
650 | 0 | |a Calculus. |0 http://id.loc.gov/authorities/subjects/sh85018802 | |
650 | 6 | |a Informatique |x Mathématiques. | |
650 | 6 | |a Calcul infinitésimal. | |
650 | 7 | |a calculus. |2 aat | |
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650 | 7 | |a Calculus |2 fast | |
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Datensatz im Suchindex
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adam_text | |
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author | Izadi, F. A. |
author2 | Aliev, N. Bagirov, G. |
author2_role | |
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author_facet | Izadi, F. A. Aliev, N. Bagirov, G. |
author_role | |
author_sort | Izadi, F. A. |
author_variant | f a i fa fai |
building | Verbundindex |
bvnumber | localFWS |
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collection | ZDB-4-EBA |
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dewey-full | 518.1 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 518 - Numerical analysis |
dewey-raw | 518.1 |
dewey-search | 518.1 |
dewey-sort | 3518.1 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn712991552 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:17:46Z |
institution | BVB |
isbn | 9781608050864 1608050866 |
language | English |
oclc_num | 712991552 |
open_access_boolean | |
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owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (v, 145 pages) : illustrations |
psigel | ZDB-4-EBA |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Bentham eBooks, |
record_format | marc |
spelling | Izadi, F. A. Discrete calculus by analogy / F.A. Izadi, N. Aliev, G. Bagirov. [Saif Zone, Sharjah, U.A.E.] : Bentham eBooks, 2009. 1 online resource (v, 145 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references (pages 141-142) and index. Print version record. Annotation. With origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. The topics covered here usually arise in many branches of science and technology, especially in discrete mathematics, numerical analysis, statistics and probability theory as well as in electrical engineering, but our viewpoint here is that these topics belong to a much more general realm of mathematics; namely calculus and differential equations because of the remarkable analogy of the subject to this branch of mathematics. It is exactly this viewpoint which distinguishes this text from the previous ones. Although the topics are discrete, our approach is absolutely analytic. As in continuous mathematical analysis, we first introduce the main concepts such as the definition of a function, power and exponential functions, discrete differentiation and integration, series expansion, complex analytic functions and their integrals, the Cauchy theorem for analytic functions, as well as the harmonic functions in discrete cases. Then we relate these concepts to the theory of discrete differential equations. Computer science Mathematics. http://id.loc.gov/authorities/subjects/sh85042295 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Informatique Mathématiques. Calcul infinitésimal. calculus. aat MATHEMATICS Numerical Analysis. bisacsh Calculus fast Computer science Mathematics fast Aliev, N. Bagirov, G. has work: Discrete calculus by analogy (Text) https://id.oclc.org/worldcat/entity/E39PCYMKHYKJTQV6TtGYRXgJwy https://id.oclc.org/worldcat/ontology/hasWork FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=500622 Volltext |
spellingShingle | Izadi, F. A. Discrete calculus by analogy / Computer science Mathematics. http://id.loc.gov/authorities/subjects/sh85042295 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Informatique Mathématiques. Calcul infinitésimal. calculus. aat MATHEMATICS Numerical Analysis. bisacsh Calculus fast Computer science Mathematics fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85042295 http://id.loc.gov/authorities/subjects/sh85018802 |
title | Discrete calculus by analogy / |
title_auth | Discrete calculus by analogy / |
title_exact_search | Discrete calculus by analogy / |
title_full | Discrete calculus by analogy / F.A. Izadi, N. Aliev, G. Bagirov. |
title_fullStr | Discrete calculus by analogy / F.A. Izadi, N. Aliev, G. Bagirov. |
title_full_unstemmed | Discrete calculus by analogy / F.A. Izadi, N. Aliev, G. Bagirov. |
title_short | Discrete calculus by analogy / |
title_sort | discrete calculus by analogy |
topic | Computer science Mathematics. http://id.loc.gov/authorities/subjects/sh85042295 Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Informatique Mathématiques. Calcul infinitésimal. calculus. aat MATHEMATICS Numerical Analysis. bisacsh Calculus fast Computer science Mathematics fast |
topic_facet | Computer science Mathematics. Calculus. Informatique Mathématiques. Calcul infinitésimal. calculus. MATHEMATICS Numerical Analysis. Calculus Computer science Mathematics |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=500622 |
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