The legacy of Leonhard Euler – a tricentennial tribute

@article{Debnath2009TheLO,
  title={The legacy of Leonhard Euler – a tricentennial tribute},
  author={L. Debnath},
  journal={International Journal of Mathematical Education in Science and Technology},
  year={2009},
  volume={40},
  pages={353 - 388}
}
  • L. Debnath
  • Published 2009
  • Mathematics
  • International Journal of Mathematical Education in Science and Technology
This tricentennial tribute commemorates Euler's major contributions to mathematical and physical sciences. A brief biographical sketch is presented with his major contributions to certain selected areas of number theory, differential and integral calculus, differential equations, solid and fluid mechanics, topology and graph theory, infinite products, infinite series, elliptic integrals, calculus of variations and the Fourier coefficients. This short article is written to provide a definite… Expand
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References

SHOWING 1-10 OF 19 REFERENCES
Srinivasa Ramanujan (1887‐1920) A centennial tribute
This centennial tribute commemorates Ramanujan the man and Ramanujan the mathematician. A brief account of his remarkable mathematical contributions is presented to describe the great talent ofExpand
Nonlinear Partial Differential Equations for Scientists and Engineers
Partial differential equations (PDEs) originated from the study of geometrical surfaces and a wide variety of problems in mechanics. Since till today they are essential in modeling of naturalExpand
Some recent results of number theory discovered with electronic computers
Some recent results in number theory, discovered with electronic computers, are discussed in this paper. Central results, and results closely related to them, have been selected from the followingExpand
Divergent Series
Divergent SeriesBy Prof. G. H. Hardy. Pp. xvi + 396. (Oxford: Clarendon Press; London: Oxford University Press, 1949.) 30s. net.
Integral transforms and their applications
Integral transforms (Laplace, Fourier and Mellin) are introduced with their properties, the relationship between these transforms was discussed and some important applications in physics andExpand
Selected topics in number theory
An essentially statistical approach to the thermodynamic problem
  • Proc. Natl. Inst. Sci. India A19 (1953), pp. 109–126; A21
  • 1955
Omnia Opera
  • Berkhäuser Verlag, Boston and Basel, 1911, Series I
  • 1911
Topics in Number theory
...
1
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