Irresistible integrals :: symbolics, analysis, and experiments in the evaluation of integrals /
The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of d...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed here are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. |
| Beschreibung: | 1 online resource (xiv, 306 pages) |
| Bibliographie: | Includes bibliographical references (pages 276-297) and index. |
| ISBN: | 051121149X 9780511211492 0521791863 9780521791861 0521796369 9780521796361 0511216866 9780511216862 051121507X 9780511215070 0511617046 9780511617041 |
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| 245 | 1 | 0 | |a Irresistible integrals : |b symbolics, analysis, and experiments in the evaluation of integrals / |c George Boros, Victor H. Moll. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2004. | ||
| 300 | |a 1 online resource (xiv, 306 pages) | ||
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| 504 | |a Includes bibliographical references (pages 276-297) and index. | ||
| 505 | 0 | |a Factorials and binomial coefficients -- The method of partial fractions -- A simple rational function -- A review of power series -- The exponential and logarithm functions -- The trigonometric functions and pi -- A quartic integral -- The normal integral -- Euler's constant -- Eulerian integrals: the Gamma and Beta functions -- The Riemann zeta function -- Logarithmic integrals -- A master formula. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed here are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. | ||
| 650 | 0 | |a Definite integrals. |0 http://id.loc.gov/authorities/subjects/sh85067101 | |
| 650 | 0 | |a Integrals. |0 http://id.loc.gov/authorities/subjects/sh85067099 | |
| 650 | 6 | |a Intégrales définies. | |
| 650 | 6 | |a Intégrales. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Definite integrals |2 fast | |
| 650 | 7 | |a Integrals |2 fast | |
| 650 | 1 | 7 | |a Getaltheorie. |2 gtt |
| 650 | 1 | 7 | |a Speciale functies (wiskunde) |2 gtt |
| 650 | 1 | 7 | |a Integraalrekening. |2 gtt |
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| 776 | 0 | 8 | |i Print version: |a Boros, George, 1947- |t Irresistible integrals. |d Cambridge, UK ; New York : Cambridge University Press, 2004 |w (DLC) 2003069574 |
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Datensatz im Suchindex
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| author | Boros, George, 1947- |
| author2 | Moll, Victor H., 1956- |
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| author_facet | Boros, George, 1947- Moll, Victor H., 1956- |
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| callnumber-first | Q - Science |
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| contents | Factorials and binomial coefficients -- The method of partial fractions -- A simple rational function -- A review of power series -- The exponential and logarithm functions -- The trigonometric functions and pi -- A quartic integral -- The normal integral -- Euler's constant -- Eulerian integrals: the Gamma and Beta functions -- The Riemann zeta function -- Logarithmic integrals -- A master formula. |
| ctrlnum | (OCoLC)144618471 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.43 |
| dewey-search | 515/.43 |
| dewey-sort | 3515 243 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:04Z |
| institution | BVB |
| isbn | 051121149X 9780511211492 0521791863 9780521791861 0521796369 9780521796361 0511216866 9780511216862 051121507X 9780511215070 0511617046 9780511617041 |
| language | English |
| oclc_num | 144618471 |
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| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 306 pages) |
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| spelling | Boros, George, 1947- https://id.oclc.org/worldcat/entity/E39PCjKkHfQvYr8MgQGwQptvQC http://id.loc.gov/authorities/names/n2003019405 Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / George Boros, Victor H. Moll. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (xiv, 306 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 276-297) and index. Factorials and binomial coefficients -- The method of partial fractions -- A simple rational function -- A review of power series -- The exponential and logarithm functions -- The trigonometric functions and pi -- A quartic integral -- The normal integral -- Euler's constant -- Eulerian integrals: the Gamma and Beta functions -- The Riemann zeta function -- Logarithmic integrals -- A master formula. Print version record. The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed here are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. Definite integrals. http://id.loc.gov/authorities/subjects/sh85067101 Integrals. http://id.loc.gov/authorities/subjects/sh85067099 Intégrales définies. Intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Definite integrals fast Integrals fast Getaltheorie. gtt Speciale functies (wiskunde) gtt Integraalrekening. gtt Moll, Victor H., 1956- https://id.oclc.org/worldcat/entity/E39PBJjRXPQqbWBXj7j3pTXWXd http://id.loc.gov/authorities/names/no2008078639 has work: Irresistible integrals (Text) https://id.oclc.org/worldcat/entity/E39PCGXPPRhWwxhXmbfCqGxHJC https://id.oclc.org/worldcat/ontology/hasWork Print version: Boros, George, 1947- Irresistible integrals. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003069574 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164335 Volltext |
| spellingShingle | Boros, George, 1947- Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / Factorials and binomial coefficients -- The method of partial fractions -- A simple rational function -- A review of power series -- The exponential and logarithm functions -- The trigonometric functions and pi -- A quartic integral -- The normal integral -- Euler's constant -- Eulerian integrals: the Gamma and Beta functions -- The Riemann zeta function -- Logarithmic integrals -- A master formula. Definite integrals. http://id.loc.gov/authorities/subjects/sh85067101 Integrals. http://id.loc.gov/authorities/subjects/sh85067099 Intégrales définies. Intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Definite integrals fast Integrals fast Getaltheorie. gtt Speciale functies (wiskunde) gtt Integraalrekening. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85067101 http://id.loc.gov/authorities/subjects/sh85067099 |
| title | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / |
| title_auth | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / |
| title_exact_search | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / |
| title_full | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / George Boros, Victor H. Moll. |
| title_fullStr | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / George Boros, Victor H. Moll. |
| title_full_unstemmed | Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals / George Boros, Victor H. Moll. |
| title_short | Irresistible integrals : |
| title_sort | irresistible integrals symbolics analysis and experiments in the evaluation of integrals |
| title_sub | symbolics, analysis, and experiments in the evaluation of integrals / |
| topic | Definite integrals. http://id.loc.gov/authorities/subjects/sh85067101 Integrals. http://id.loc.gov/authorities/subjects/sh85067099 Intégrales définies. Intégrales. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Definite integrals fast Integrals fast Getaltheorie. gtt Speciale functies (wiskunde) gtt Integraalrekening. gtt |
| topic_facet | Definite integrals. Integrals. Intégrales définies. Intégrales. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Definite integrals Integrals Getaltheorie. Speciale functies (wiskunde) Integraalrekening. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164335 |
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