Puiseux's Theorem (original) (raw)

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Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Algebra
• Algebraic Geometry
• Abstract Algebraic Curves

The whole neighborhood of any point of an algebraic curve may be uniformly represented by a certain finite number of convergent developments in power series,

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References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 207, 1959.Puiseux, V. "Recherches sur les fonctions algébriques." J. de math. pures et appl. 15, 207, 1850.

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Puiseux's Theorem

Cite this as:

Weisstein, Eric W. "Puiseux's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PuiseuxsTheorem.html

Subject classifications

• Algebra
• Algebraic Geometry
• Abstract Algebraic Curves