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The Legacy Of Leonhard Euler : a Tricentennial Tribute.
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, geomet...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2009.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 4 | |a The Legacy Of Leonhard Euler : |b a Tricentennial Tribute. |
| 260 | |b World Scientific |c 2009. | ||
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| 505 | 0 | |a Cover13; -- Contents -- Preface -- 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 Eulers Early Life -- 2.2 Eulers Professional Career -- 3. Eulers Contributions to Number Theory and Algebra -- 3.1 Introduction -- 3.2 Eulers Phi Function and Cryptography -- 3.3 Eulers Other Work on Number Theory -- 3.4 Euler and Partitions of Numbers -- 3.5 Eulers Contributions to Continued Fractions -- 3.6 Eulers Contributions to Classical Algebra -- 4. Eulers Contributions to Geometry and Spherical Trigonometry -- 4.1 Introduction -- 4.2 Eulers Work in Plane Geometry -- 4.3 Incircle, Incenter and Herons 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 Eulers Work on Analytic Geometry -- 4.7 Eulers Work on Di.erential Geometry -- 4.8 Spherical Trigonometry -- 5. Eulers Formula for Polyhedra, Topology and Graph Theory -- 5.1 Eulers Formula for Polyhedra -- 5.2 Graphs and Networks -- 6. Eulers Contributions to Calculus and Analysis -- 6.1 Introduction -- 6.2 EulersWork on Calculus -- 6.3 Euler and Elliptic Integrals -- 7. Eulers Contributions to the Infinite Series and the Zeta Function -- 7.1 Introduction -- 7.2 Euler and the Infinite Series -- 7.3 Eulers 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. Eulers Beta and Gamma Functions and Infinite Products -- 8.1 Introduction -- 8.2 Eulers Beta and Gamma Functions -- 8.3 Applications of the Euler Gamma Functions -- 8.4 Eulers Contributions to Infinite Products -- 9. Euler and Differential Equations -- 9.1 Historical Introduction -- 9.2 Eulers Contributions to Ordinary Differential Equations -- 9.3 Eulers 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. Eulers Contributions to Mechanics and Elasticity -- 11.1 Introduction -- 11.2 Eulers Work on Solid Mechanics -- 11.3 Eulers Research on Elastic Curves -- 11.4 Impact of Eulers Work on Modern Aerodynamics -- 12. Eulers Work on the Probability Theory -- 12.1 Introduction -- 12.2 Eulers Work on Probability -- 12.3 Eulers Beta and Gamma Density Distributions -- 13. Eulers Contributions to Ballistics -- 13.1 Introduction -- 13.2 Eulers Research on Ballistics -- 14. Euler and his Work on Astronomy and Physics -- 14.1 Introduction -- 14.2 Eulers Contributions to Astronomy -- 14.3 EulersWork on Physics -- Bibliography -- Index. | |
| 520 | |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 fl. | ||
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| 600 | 1 | 0 | |a Euler, Leonhard, |d 1707-1783. |
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