The legacy of Leonhard Euler: a tricentennial tribute
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2010
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 373-381) and index 1. Mathematics before Leonhard Euler. 1.1. Introduction. 1.2. Pythagoras, the Pythagorean school and euclid. 1.3. The major impact of the European renaissance on mathematics and science. 1.4. The discovery of calculus by Newton and Leibniz -- 2. Brief biographical sketch and career of Leonhard Euler. 2.1. Euler's early life. 2.2. Euler's professional career -- 3. Euler's contributions to number theory and algebra. 3.1. Introduction. 3.2. Euler's Phi function and cryptography. 3.3. Euler's other work on number theory. 3.4. Euler and partitions of numbers. 3.5. Euler's contributions to continued fractions. 3.6. Euler's contributions to classical algebra -- - 4. Euler's contributions to geometry and spherical trigonometry. 4.1. Introduction. 4.2. Euler's work in plane geometry. 4.3. Incircle, incenter and Heron's formula for an area of a triangle. 4.4. Centroid, orthocenter and circumcenter. 4.5. The Euler line and the Euler nine-point circle. 4.6. Euler's work on analytic geometry. 4.7. Euler's work on differential geometry. 4.8. Spherical trigonometry -- 5. Euler's formula for polyhedra, topology and graph theory. 5.1. Euler's formula for polyhedra. 5.2. Graphs and networks -- 6. Euler's contributions to calculus and analysis. 6.1. Introduction. 6.2. Euler's work on calculus. 6.3. Euler and elliptic integrals -- 7. Euler's contributions to the infinite series and the zeta function. 7.1. Introduction. 7.2. Euler and the infinite series. 7.3. Euler's zeta function. 7.4. Euler and the Fourier series. 7.5. Generalized Zeta function. 7.6. Applications of the Zeta function to mathematical physics and algebraic geometry -- - 8. Euler's beta and gamma functions and infinite products. 8.1. Introduction. 8.2. Euler's beta and gamma functions. 8.3. Applications of the Euler gamma functions. 8.4. Euler's contributions to infinite products -- 9. Euler and differential equations. 9.1. Historical introduction. 9.2. Euler's contributions to ordinary differential equations. 9.3. Euler's work on partial differential equations. 9.4. Euler and the calculus of variations -- 10. The Euler equations of motion in fluid mechanics. 10.1. Introduction. 10.2. Eulerian descriptions of fluid flows -- 11. Euler's contributions to mechanics and elasticity. 11.1. Introduction. 11.2. Euler's work on solid mechanics. 11.3. Euler's research on elastic curves. 11.4. Impact of Euler's work on modern aerodynamics -- 12. Euler's work on the probability theory. 12.1. Introduction. 12.2. Euler's work on probability. 12.3. Euler's beta and gamma density distributions -- - 13. Euler's contributions to ballistics. 13.1. Introduction. 13.2. Euler's research on ballistics -- 14. Euler and his work on astronomy and physics. 14.1. Introduction. 14.2. Euler's contributions to astronomy. 14.3. Euler's work on physics This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler's personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler's work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler's extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research |
| Beschreibung: | 1 Online-Ressource (xxv, 392 p.) |
| ISBN: | 1848165250 1848165269 9781848165250 9781848165267 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043100937 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2010 |||| o||u| ||||||eng d | ||
| 020 | |a 1848165250 |9 1-84816-525-0 | ||
| 020 | |a 1848165269 |c electronic bk. |9 1-84816-526-9 | ||
| 020 | |a 9781848165250 |9 978-1-84816-525-0 | ||
| 020 | |a 9781848165267 |c electronic bk. |9 978-1-84816-526-7 | ||
| 035 | |a (OCoLC)670430011 | ||
| 035 | |a (DE-599)BVBBV043100937 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 510.92 |2 22 | |
| 100 | 1 | |a Debnath, Lokenath |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The legacy of Leonhard Euler |b a tricentennial tribute |c Lokenath Debnath |
| 264 | 1 | |a London |b Imperial College Press |c c2010 | |
| 300 | |a 1 Online-Ressource (xxv, 392 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 373-381) and index | ||
| 500 | |a 1. Mathematics before Leonhard Euler. 1.1. Introduction. 1.2. Pythagoras, the Pythagorean school and euclid. 1.3. The major impact of the European renaissance on mathematics and science. 1.4. The discovery of calculus by Newton and Leibniz -- 2. Brief biographical sketch and career of Leonhard Euler. 2.1. Euler's early life. 2.2. Euler's professional career -- 3. Euler's contributions to number theory and algebra. 3.1. Introduction. 3.2. Euler's Phi function and cryptography. 3.3. Euler's other work on number theory. 3.4. Euler and partitions of numbers. 3.5. Euler's contributions to continued fractions. 3.6. Euler's contributions to classical algebra -- | ||
| 500 | |a - 4. Euler's contributions to geometry and spherical trigonometry. 4.1. Introduction. 4.2. Euler's work in plane geometry. 4.3. Incircle, incenter and Heron's formula for an area of a triangle. 4.4. Centroid, orthocenter and circumcenter. 4.5. The Euler line and the Euler nine-point circle. 4.6. Euler's work on analytic geometry. 4.7. Euler's work on differential geometry. 4.8. Spherical trigonometry -- 5. Euler's formula for polyhedra, topology and graph theory. 5.1. Euler's formula for polyhedra. 5.2. Graphs and networks -- 6. Euler's contributions to calculus and analysis. 6.1. Introduction. 6.2. Euler's work on calculus. 6.3. Euler and elliptic integrals -- 7. Euler's contributions to the infinite series and the zeta function. 7.1. Introduction. 7.2. Euler and the infinite series. 7.3. Euler's zeta function. 7.4. Euler and the Fourier series. 7.5. Generalized Zeta function. 7.6. Applications of the Zeta function to mathematical physics and algebraic geometry -- | ||
| 500 | |a - 8. Euler's beta and gamma functions and infinite products. 8.1. Introduction. 8.2. Euler's beta and gamma functions. 8.3. Applications of the Euler gamma functions. 8.4. Euler's contributions to infinite products -- 9. Euler and differential equations. 9.1. Historical introduction. 9.2. Euler's contributions to ordinary differential equations. 9.3. Euler's work on partial differential equations. 9.4. Euler and the calculus of variations -- 10. The Euler equations of motion in fluid mechanics. 10.1. Introduction. 10.2. Eulerian descriptions of fluid flows -- 11. Euler's contributions to mechanics and elasticity. 11.1. Introduction. 11.2. Euler's work on solid mechanics. 11.3. Euler's research on elastic curves. 11.4. Impact of Euler's work on modern aerodynamics -- 12. Euler's work on the probability theory. 12.1. Introduction. 12.2. Euler's work on probability. 12.3. Euler's beta and gamma density distributions -- | ||
| 500 | |a - 13. Euler's contributions to ballistics. 13.1. Introduction. 13.2. Euler's research on ballistics -- 14. Euler and his work on astronomy and physics. 14.1. Introduction. 14.2. Euler's contributions to astronomy. 14.3. Euler's work on physics | ||
| 500 | |a This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler's personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler's work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler's extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research | ||
| 600 | 1 | 7 | |a Euler, Leonhard |2 swd |
| 600 | 1 | 4 | |a Euler, Leonhard / 1707-1783 |
| 600 | 1 | 4 | |a Euler, Leonhard |
| 600 | 1 | 4 | |a Euler, Leonhard |d 1707-1783 |
| 600 | 1 | 7 | |a Euler, Leonhard |d 1707-1783 |0 (DE-588)118531379 |2 gnd |9 rswk-swf |
| 648 | 7 | |a Geschichte 1750-2010 |2 swd | |
| 648 | 4 | |a Geschichte 1700-1800 | |
| 648 | 7 | |a Geschichte 1750-2010 |2 gnd |9 rswk-swf | |
| 650 | 7 | |a MATHEMATICS / History & Philosophy |2 bisacsh | |
| 650 | 7 | |a Mathematik |2 swd | |
| 650 | 7 | |a Rezeption |2 swd | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x History |y 18th century | |
| 650 | 4 | |a Mathematicians |z Switzerland |v Biography | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Rezeption |0 (DE-588)4049716-1 |2 gnd |9 rswk-swf |
| 651 | 4 | |a Schweiz | |
| 655 | 7 | |0 (DE-588)4006804-3 |a Biografie |2 gnd-content | |
| 689 | 0 | 0 | |a Euler, Leonhard |d 1707-1783 |0 (DE-588)118531379 |D p |
| 689 | 0 | 1 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 2 | |a Rezeption |0 (DE-588)4049716-1 |D s |
| 689 | 0 | 3 | |a Geschichte 1750-2010 |A z |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028525129 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175510897426432 |
|---|---|
| any_adam_object | |
| author | Debnath, Lokenath |
| author_facet | Debnath, Lokenath |
| author_role | aut |
| author_sort | Debnath, Lokenath |
| author_variant | l d ld |
| building | Verbundindex |
| bvnumber | BV043100937 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)670430011 (DE-599)BVBBV043100937 |
| dewey-full | 510.92 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.92 |
| dewey-search | 510.92 |
| dewey-sort | 3510.92 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1750-2010 swd Geschichte 1700-1800 Geschichte 1750-2010 gnd |
| era_facet | Geschichte 1750-2010 Geschichte 1700-1800 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07112nmm a2200721zc 4500</leader><controlfield tag="001">BV043100937</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2010 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1848165250</subfield><subfield code="9">1-84816-525-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1848165269</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">1-84816-526-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781848165250</subfield><subfield code="9">978-1-84816-525-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781848165267</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-1-84816-526-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)670430011</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043100937</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510.92</subfield><subfield code="2">22</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Debnath, Lokenath</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The legacy of Leonhard Euler</subfield><subfield code="b">a tricentennial tribute</subfield><subfield code="c">Lokenath Debnath</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Imperial College Press</subfield><subfield code="c">c2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxv, 392 p.)</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (p. 373-381) and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">1. Mathematics before Leonhard Euler. 1.1. Introduction. 1.2. Pythagoras, the Pythagorean school and euclid. 1.3. The major impact of the European renaissance on mathematics and science. 1.4. The discovery of calculus by Newton and Leibniz -- 2. Brief biographical sketch and career of Leonhard Euler. 2.1. Euler's early life. 2.2. Euler's professional career -- 3. Euler's contributions to number theory and algebra. 3.1. Introduction. 3.2. Euler's Phi function and cryptography. 3.3. Euler's other work on number theory. 3.4. Euler and partitions of numbers. 3.5. Euler's contributions to continued fractions. 3.6. Euler's contributions to classical algebra -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 4. Euler's contributions to geometry and spherical trigonometry. 4.1. Introduction. 4.2. Euler's work in plane geometry. 4.3. Incircle, incenter and Heron's formula for an area of a triangle. 4.4. Centroid, orthocenter and circumcenter. 4.5. The Euler line and the Euler nine-point circle. 4.6. Euler's work on analytic geometry. 4.7. Euler's work on differential geometry. 4.8. Spherical trigonometry -- 5. Euler's formula for polyhedra, topology and graph theory. 5.1. Euler's formula for polyhedra. 5.2. Graphs and networks -- 6. Euler's contributions to calculus and analysis. 6.1. Introduction. 6.2. Euler's work on calculus. 6.3. Euler and elliptic integrals -- 7. Euler's contributions to the infinite series and the zeta function. 7.1. Introduction. 7.2. Euler and the infinite series. 7.3. Euler's zeta function. 7.4. Euler and the Fourier series. 7.5. Generalized Zeta function. 7.6. Applications of the Zeta function to mathematical physics and algebraic geometry -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 8. Euler's beta and gamma functions and infinite products. 8.1. Introduction. 8.2. Euler's beta and gamma functions. 8.3. Applications of the Euler gamma functions. 8.4. Euler's contributions to infinite products -- 9. Euler and differential equations. 9.1. Historical introduction. 9.2. Euler's contributions to ordinary differential equations. 9.3. Euler's work on partial differential equations. 9.4. Euler and the calculus of variations -- 10. The Euler equations of motion in fluid mechanics. 10.1. Introduction. 10.2. Eulerian descriptions of fluid flows -- 11. Euler's contributions to mechanics and elasticity. 11.1. Introduction. 11.2. Euler's work on solid mechanics. 11.3. Euler's research on elastic curves. 11.4. Impact of Euler's work on modern aerodynamics -- 12. Euler's work on the probability theory. 12.1. Introduction. 12.2. Euler's work on probability. 12.3. Euler's beta and gamma density distributions -- </subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a"> - 13. Euler's contributions to ballistics. 13.1. Introduction. 13.2. Euler's research on ballistics -- 14. Euler and his work on astronomy and physics. 14.1. Introduction. 14.2. Euler's contributions to astronomy. 14.3. Euler's work on physics</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler's personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler's work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler's extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research</subfield></datafield><datafield tag="600" ind1="1" ind2="7"><subfield code="a">Euler, Leonhard</subfield><subfield code="2">swd</subfield></datafield><datafield tag="600" ind1="1" ind2="4"><subfield code="a">Euler, Leonhard / 1707-1783</subfield></datafield><datafield tag="600" ind1="1" ind2="4"><subfield code="a">Euler, Leonhard</subfield></datafield><datafield tag="600" ind1="1" ind2="4"><subfield code="a">Euler, Leonhard</subfield><subfield code="d">1707-1783</subfield></datafield><datafield tag="600" ind1="1" ind2="7"><subfield code="a">Euler, Leonhard</subfield><subfield code="d">1707-1783</subfield><subfield code="0">(DE-588)118531379</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1750-2010</subfield><subfield code="2">swd</subfield></datafield><datafield tag="648" ind1=" " ind2="4"><subfield code="a">Geschichte 1700-1800</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1750-2010</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / History & Philosophy</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematik</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Rezeption</subfield><subfield code="2">swd</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geschichte</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield><subfield code="x">History</subfield><subfield code="y">18th century</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematicians</subfield><subfield code="z">Switzerland</subfield><subfield code="v">Biography</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Rezeption</subfield><subfield code="0">(DE-588)4049716-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="651" ind1=" " ind2="4"><subfield code="a">Schweiz</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4006804-3</subfield><subfield code="a">Biografie</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Euler, Leonhard</subfield><subfield code="d">1707-1783</subfield><subfield code="0">(DE-588)118531379</subfield><subfield code="D">p</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Rezeption</subfield><subfield code="0">(DE-588)4049716-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Geschichte 1750-2010</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028525129</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| genre | (DE-588)4006804-3 Biografie gnd-content |
| genre_facet | Biografie |
| geographic | Schweiz |
| geographic_facet | Schweiz |
| id | DE-604.BV043100937 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:26Z |
| institution | BVB |
| isbn | 1848165250 1848165269 9781848165250 9781848165267 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028525129 |
| oclc_num | 670430011 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xxv, 392 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Debnath, Lokenath Verfasser aut The legacy of Leonhard Euler a tricentennial tribute Lokenath Debnath London Imperial College Press c2010 1 Online-Ressource (xxv, 392 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 373-381) and index 1. Mathematics before Leonhard Euler. 1.1. Introduction. 1.2. Pythagoras, the Pythagorean school and euclid. 1.3. The major impact of the European renaissance on mathematics and science. 1.4. The discovery of calculus by Newton and Leibniz -- 2. Brief biographical sketch and career of Leonhard Euler. 2.1. Euler's early life. 2.2. Euler's professional career -- 3. Euler's contributions to number theory and algebra. 3.1. Introduction. 3.2. Euler's Phi function and cryptography. 3.3. Euler's other work on number theory. 3.4. Euler and partitions of numbers. 3.5. Euler's contributions to continued fractions. 3.6. Euler's contributions to classical algebra -- - 4. Euler's contributions to geometry and spherical trigonometry. 4.1. Introduction. 4.2. Euler's work in plane geometry. 4.3. Incircle, incenter and Heron's formula for an area of a triangle. 4.4. Centroid, orthocenter and circumcenter. 4.5. The Euler line and the Euler nine-point circle. 4.6. Euler's work on analytic geometry. 4.7. Euler's work on differential geometry. 4.8. Spherical trigonometry -- 5. Euler's formula for polyhedra, topology and graph theory. 5.1. Euler's formula for polyhedra. 5.2. Graphs and networks -- 6. Euler's contributions to calculus and analysis. 6.1. Introduction. 6.2. Euler's work on calculus. 6.3. Euler and elliptic integrals -- 7. Euler's contributions to the infinite series and the zeta function. 7.1. Introduction. 7.2. Euler and the infinite series. 7.3. Euler's zeta function. 7.4. Euler and the Fourier series. 7.5. Generalized Zeta function. 7.6. Applications of the Zeta function to mathematical physics and algebraic geometry -- - 8. Euler's beta and gamma functions and infinite products. 8.1. Introduction. 8.2. Euler's beta and gamma functions. 8.3. Applications of the Euler gamma functions. 8.4. Euler's contributions to infinite products -- 9. Euler and differential equations. 9.1. Historical introduction. 9.2. Euler's contributions to ordinary differential equations. 9.3. Euler's work on partial differential equations. 9.4. Euler and the calculus of variations -- 10. The Euler equations of motion in fluid mechanics. 10.1. Introduction. 10.2. Eulerian descriptions of fluid flows -- 11. Euler's contributions to mechanics and elasticity. 11.1. Introduction. 11.2. Euler's work on solid mechanics. 11.3. Euler's research on elastic curves. 11.4. Impact of Euler's work on modern aerodynamics -- 12. Euler's work on the probability theory. 12.1. Introduction. 12.2. Euler's work on probability. 12.3. Euler's beta and gamma density distributions -- - 13. Euler's contributions to ballistics. 13.1. Introduction. 13.2. Euler's research on ballistics -- 14. Euler and his work on astronomy and physics. 14.1. Introduction. 14.2. Euler's contributions to astronomy. 14.3. Euler's work on physics This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler's works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler's personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler's work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler's extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research Euler, Leonhard swd Euler, Leonhard / 1707-1783 Euler, Leonhard Euler, Leonhard 1707-1783 Euler, Leonhard 1707-1783 (DE-588)118531379 gnd rswk-swf Geschichte 1750-2010 swd Geschichte 1700-1800 Geschichte 1750-2010 gnd rswk-swf MATHEMATICS / History & Philosophy bisacsh Mathematik swd Rezeption swd Geschichte Mathematik Mathematics History 18th century Mathematicians Switzerland Biography Mathematik (DE-588)4037944-9 gnd rswk-swf Rezeption (DE-588)4049716-1 gnd rswk-swf Schweiz (DE-588)4006804-3 Biografie gnd-content Euler, Leonhard 1707-1783 (DE-588)118531379 p Mathematik (DE-588)4037944-9 s Rezeption (DE-588)4049716-1 s Geschichte 1750-2010 z 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Debnath, Lokenath The legacy of Leonhard Euler a tricentennial tribute Euler, Leonhard swd Euler, Leonhard / 1707-1783 Euler, Leonhard Euler, Leonhard 1707-1783 Euler, Leonhard 1707-1783 (DE-588)118531379 gnd MATHEMATICS / History & Philosophy bisacsh Mathematik swd Rezeption swd Geschichte Mathematik Mathematics History 18th century Mathematicians Switzerland Biography Mathematik (DE-588)4037944-9 gnd Rezeption (DE-588)4049716-1 gnd |
| subject_GND | (DE-588)118531379 (DE-588)4037944-9 (DE-588)4049716-1 (DE-588)4006804-3 |
| title | The legacy of Leonhard Euler a tricentennial tribute |
| title_auth | The legacy of Leonhard Euler a tricentennial tribute |
| title_exact_search | The legacy of Leonhard Euler a tricentennial tribute |
| title_full | The legacy of Leonhard Euler a tricentennial tribute Lokenath Debnath |
| title_fullStr | The legacy of Leonhard Euler a tricentennial tribute Lokenath Debnath |
| title_full_unstemmed | The legacy of Leonhard Euler a tricentennial tribute Lokenath Debnath |
| title_short | The legacy of Leonhard Euler |
| title_sort | the legacy of leonhard euler a tricentennial tribute |
| title_sub | a tricentennial tribute |
| topic | Euler, Leonhard swd Euler, Leonhard / 1707-1783 Euler, Leonhard Euler, Leonhard 1707-1783 Euler, Leonhard 1707-1783 (DE-588)118531379 gnd MATHEMATICS / History & Philosophy bisacsh Mathematik swd Rezeption swd Geschichte Mathematik Mathematics History 18th century Mathematicians Switzerland Biography Mathematik (DE-588)4037944-9 gnd Rezeption (DE-588)4049716-1 gnd |
| topic_facet | Euler, Leonhard Euler, Leonhard / 1707-1783 Euler, Leonhard 1707-1783 MATHEMATICS / History & Philosophy Mathematik Rezeption Geschichte Mathematics History 18th century Mathematicians Switzerland Biography Schweiz Biografie |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340597 |
| work_keys_str_mv | AT debnathlokenath thelegacyofleonhardeuleratricentennialtribute |