Excursions in classical analysis: pathways to advanced problem solving and undergraduate research
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Washington, D.C.
Mathematical Association of America
c2010
|
| Schriftenreihe: | Classroom resource materials (Unnumbered)
|
| Schlagworte: | |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xiii, 301 p. |
| ISBN: | 0883857685 9780883857687 9780883859353 |
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| 100 | 1 | |a Chen, Hongwei |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Excursions in classical analysis |b pathways to advanced problem solving and undergraduate research |c Hongwei Chen |
| 264 | 1 | |a Washington, D.C. |b Mathematical Association of America |c c2010 | |
| 300 | |a xiii, 301 p. | ||
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| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Classroom resource materials (Unnumbered) | |
| 500 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hôpital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)² -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Chen, Hongwei |
| author_facet | Chen, Hongwei |
| author_role | aut |
| author_sort | Chen, Hongwei |
| author_variant | h c hc |
| building | Verbundindex |
| bvnumber | BV044103508 |
| collection | ZDB-30-PAD |
| contents | Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hôpital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)² -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals |
| ctrlnum | (ZDB-30-PAD)EBC3330345 (ZDB-89-EBL)EBL3330345 (OCoLC)793652733 (DE-599)BVBBV044103508 |
| dewey-full | 515.076 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.076 |
| dewey-search | 515.076 |
| dewey-sort | 3515.076 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| isbn | 0883857685 9780883857687 9780883859353 |
| language | English |
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| spelling | Chen, Hongwei Verfasser aut Excursions in classical analysis pathways to advanced problem solving and undergraduate research Hongwei Chen Washington, D.C. Mathematical Association of America c2010 xiii, 301 p. txt rdacontent c rdamedia cr rdacarrier Classroom resource materials (Unnumbered) Includes bibliographical references and index Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hôpital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)² -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals Mathematical analysis Problems, exercises, etc Analysis (DE-588)4001865-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s 2\p DE-604 Mathematical Association of America Sonstige oth 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 |
| spellingShingle | Chen, Hongwei Excursions in classical analysis pathways to advanced problem solving and undergraduate research Two classical inequalities -- A new approach for proving inequalities -- Means generated by an integral -- The L'Hôpital monotone rule -- Trigonometric identities via complex numbers -- Special numbers -- On a sum of cosecants -- The gamma products in simple closed forms -- On the telescoping sums -- Summation of subseries in closed form -- Generating functions for powers of Fibonacci numbers -- Identities for the Fibonacci powers -- Bernoulli numbers via determinants -- On some finite trigonometric power sums -- Power series of (arcsin x)² -- Six ways to sum [zeta] 2 -- Evaluations of some variant Euler sums -- Interesting series involving binomial coefficients -- Parametric differentiation and integration -- Four ways to evaluate the Poisson integral -- Some irresistible integrals Mathematical analysis Problems, exercises, etc Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4151278-9 |
| title | Excursions in classical analysis pathways to advanced problem solving and undergraduate research |
| title_auth | Excursions in classical analysis pathways to advanced problem solving and undergraduate research |
| title_exact_search | Excursions in classical analysis pathways to advanced problem solving and undergraduate research |
| title_full | Excursions in classical analysis pathways to advanced problem solving and undergraduate research Hongwei Chen |
| title_fullStr | Excursions in classical analysis pathways to advanced problem solving and undergraduate research Hongwei Chen |
| title_full_unstemmed | Excursions in classical analysis pathways to advanced problem solving and undergraduate research Hongwei Chen |
| title_short | Excursions in classical analysis |
| title_sort | excursions in classical analysis pathways to advanced problem solving and undergraduate research |
| title_sub | pathways to advanced problem solving and undergraduate research |
| topic | Mathematical analysis Problems, exercises, etc Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematical analysis Problems, exercises, etc Analysis Einführung |
| work_keys_str_mv | AT chenhongwei excursionsinclassicalanalysispathwaystoadvancedproblemsolvingandundergraduateresearch AT mathematicalassociationofamerica excursionsinclassicalanalysispathwaystoadvancedproblemsolvingandundergraduateresearch |