The mathematical mechanic: using physical reasoning to solve problems
Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Ma...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton ; Oxford
Princeton University Press
2023
|
| Ausgabe: | First Princeton Science Library edition |
| Schriftenreihe: | Princeton Science Library
Band 139 |
| Schlagworte: | |
| Online-Zugang: | DE-91 DE-20 DE-706 Volltext |
| Zusammenfassung: | Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles.The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us. |
| Beschreibung: | 1 Online-Ressource (XII, 186 Seiten) Illustrationen |
| ISBN: | 9780691244174 |
| DOI: | 10.1515/9780691244174 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV048607728 | ||
| 003 | DE-604 | ||
| 005 | 20231121 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 221213s2023 xx a||| o|||| 00||| eng d | ||
| 020 | |a 9780691244174 |9 978-0-691-24417-4 | ||
| 024 | 7 | |a 10.1515/9780691244174 |2 doi | |
| 035 | |a (ZDB-23-DGG)9780691244174 | ||
| 035 | |a (ZDB-23-DMA)9780691244174 | ||
| 035 | |a (OCoLC)1355301870 | ||
| 035 | |a (DE-599)BVBBV048607728 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-20 |a DE-11 |a DE-706 | ||
| 082 | 0 | |a 510 |2 23 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 084 | |a MAT 023 |2 stub | ||
| 100 | 1 | |a Levi, Mark |d 1951- |e Verfasser |0 (DE-588)172238099 |4 aut | |
| 245 | 1 | 0 | |a The mathematical mechanic |b using physical reasoning to solve problems |c Mark Levi |
| 250 | |a First Princeton Science Library edition | ||
| 264 | 1 | |a Princeton ; Oxford |b Princeton University Press |c 2023 | |
| 264 | 4 | |c © 2023 | |
| 300 | |a 1 Online-Ressource (XII, 186 Seiten) |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton Science Library |v Band 139 | |
| 520 | |a Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles.The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us. | ||
| 650 | 7 | |a MATHEMATICS / General |2 bisacsh | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Problem solving | |
| 650 | 0 | 7 | |a Mathematische Physik |0 (DE-588)4037952-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Problemlösen |0 (DE-588)4076358-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematische Physik |0 (DE-588)4037952-8 |D s |
| 689 | 0 | 1 | |a Problemlösen |0 (DE-588)4076358-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 978-0-691-15456-5 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 978-0-691-24205-7 |
| 830 | 0 | |a Princeton Science Library |v Band 139 |w (DE-604)BV045896379 |9 139 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691244174 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-23-DGG | ||
| 912 | |a ZDB-23-DMA | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-033983151 | |
| 966 | e | |u https://www.degruyter.com/document/doi/10.1515/9780691244174/html?locatt=mode:legacy |l DE-91 |p ZDB-23-DMA |q TUM_Paketkauf_2023 |x Verlag |3 Volltext | |
| 966 | e | |u https://www.degruyter.com/document/doi/10.1515/9780691244174/html?locatt=mode:legacy |l DE-20 |p ZDB-23-DMA |q UBW_Paketkauf |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691244174?locatt=mode:legacy |l DE-706 |p ZDB-23-DMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1824508163340107776 |
|---|---|
| adam_text | |
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Levi, Mark 1951- |
| author_GND | (DE-588)172238099 |
| author_facet | Levi, Mark 1951- |
| author_role | aut |
| author_sort | Levi, Mark 1951- |
| author_variant | m l ml |
| building | Verbundindex |
| bvnumber | BV048607728 |
| classification_rvk | SK 950 |
| classification_tum | MAT 023 |
| collection | ZDB-23-DGG ZDB-23-DMA |
| ctrlnum | (ZDB-23-DGG)9780691244174 (ZDB-23-DMA)9780691244174 (OCoLC)1355301870 (DE-599)BVBBV048607728 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1515/9780691244174 |
| edition | First Princeton Science Library edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000zcb4500</leader><controlfield tag="001">BV048607728</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20231121</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">221213s2023 xx a||| o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691244174</subfield><subfield code="9">978-0-691-24417-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9780691244174</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9780691244174</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DMA)9780691244174</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1355301870</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV048607728</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 023</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Levi, Mark</subfield><subfield code="d">1951-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172238099</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The mathematical mechanic</subfield><subfield code="b">using physical reasoning to solve problems</subfield><subfield code="c">Mark Levi</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">First Princeton Science Library edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton ; Oxford</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">2023</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 186 Seiten)</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Princeton Science Library</subfield><subfield code="v">Band 139</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles.The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Problem solving</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Problemlösen</subfield><subfield code="0">(DE-588)4076358-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Problemlösen</subfield><subfield code="0">(DE-588)4076358-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-0-691-15456-5</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-0-691-24205-7</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Princeton Science Library</subfield><subfield code="v">Band 139</subfield><subfield code="w">(DE-604)BV045896379</subfield><subfield code="9">139</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9780691244174</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033983151</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://www.degruyter.com/document/doi/10.1515/9780691244174/html?locatt=mode:legacy</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-23-DMA</subfield><subfield code="q">TUM_Paketkauf_2023</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://www.degruyter.com/document/doi/10.1515/9780691244174/html?locatt=mode:legacy</subfield><subfield code="l">DE-20</subfield><subfield code="p">ZDB-23-DMA</subfield><subfield code="q">UBW_Paketkauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691244174?locatt=mode:legacy</subfield><subfield code="l">DE-706</subfield><subfield code="p">ZDB-23-DMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV048607728 |
| illustrated | Illustrated |
| index_date | 2024-07-03T21:11:19Z |
| indexdate | 2025-02-19T17:36:15Z |
| institution | BVB |
| isbn | 9780691244174 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033983151 |
| oclc_num | 1355301870 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-20 DE-11 DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-20 DE-11 DE-706 |
| physical | 1 Online-Ressource (XII, 186 Seiten) Illustrationen |
| psigel | ZDB-23-DGG ZDB-23-DMA ZDB-23-DMA TUM_Paketkauf_2023 ZDB-23-DMA UBW_Paketkauf |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Princeton Science Library |
| series2 | Princeton Science Library |
| spelling | Levi, Mark 1951- Verfasser (DE-588)172238099 aut The mathematical mechanic using physical reasoning to solve problems Mark Levi First Princeton Science Library edition Princeton ; Oxford Princeton University Press 2023 © 2023 1 Online-Ressource (XII, 186 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Princeton Science Library Band 139 Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist.Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles.The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us. MATHEMATICS / General bisacsh Mathematical physics Problem solving Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Problemlösen (DE-588)4076358-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Problemlösen (DE-588)4076358-4 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-0-691-15456-5 Erscheint auch als Druck-Ausgabe, Paperback 978-0-691-24205-7 Princeton Science Library Band 139 (DE-604)BV045896379 139 https://doi.org/10.1515/9780691244174 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Levi, Mark 1951- The mathematical mechanic using physical reasoning to solve problems Princeton Science Library MATHEMATICS / General bisacsh Mathematical physics Problem solving Mathematische Physik (DE-588)4037952-8 gnd Problemlösen (DE-588)4076358-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4076358-4 |
| title | The mathematical mechanic using physical reasoning to solve problems |
| title_auth | The mathematical mechanic using physical reasoning to solve problems |
| title_exact_search | The mathematical mechanic using physical reasoning to solve problems |
| title_exact_search_txtP | The mathematical mechanic using physical reasoning to solve problems |
| title_full | The mathematical mechanic using physical reasoning to solve problems Mark Levi |
| title_fullStr | The mathematical mechanic using physical reasoning to solve problems Mark Levi |
| title_full_unstemmed | The mathematical mechanic using physical reasoning to solve problems Mark Levi |
| title_short | The mathematical mechanic |
| title_sort | the mathematical mechanic using physical reasoning to solve problems |
| title_sub | using physical reasoning to solve problems |
| topic | MATHEMATICS / General bisacsh Mathematical physics Problem solving Mathematische Physik (DE-588)4037952-8 gnd Problemlösen (DE-588)4076358-4 gnd |
| topic_facet | MATHEMATICS / General Mathematical physics Problem solving Mathematische Physik Problemlösen |
| url | https://doi.org/10.1515/9780691244174 |
| volume_link | (DE-604)BV045896379 |
| work_keys_str_mv | AT levimark themathematicalmechanicusingphysicalreasoningtosolveproblems |