The work of lagrange in number theory and algebra |
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| Authors: | D P Patil C R Pranesachar Renuka Ravindran |
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| Institution: | (1) Department of Mathematics, Indian Institute of Science, 560 012 Bangalore, India |
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| Abstract: | Joseph Louis Lagrange, a French mathematician, worked on a variety of topics — Algebra (classical and abstract), Number Theory,
Dynamics, Functions of several variables, and Astronomy to mention a few. Here we give proofs of four theorems, three in number
theory and one in group theory.
It is said that post-Newtonian mathematics was dominated by two giants, Lagrange and Euler, in the eighteenth century. While
Euler mainly contributed to pure mathematics, Lagrange contributed equally to mathematical physics and pure mathematics. Lagrange
had special love for the theory of numbers and theory of polynomials. |
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| Keywords: | Primes 4-square theorem binary operations groups subgroups equivalence relations cosets |
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