Augustin-Louis Cauchy
Rigorized calculus and founded complex analysis
Most quoted
"I am a Christian, that is to say, I believe in the divinity of Jesus Christ, like Bossuet and Pascal, like Corneille and Racine, and like so many other great men who have been illustrious in the sciences and in letters. The more I study nature, the more I am amazed at the works of the Creator. The more I study mathematics, the more I admire the wisdom of God."
"The mean value theorem for derivatives states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists at least one point in the open interval where the derivative of the function is equal to the average rate of change of the function over the interval."
— from Cours d'Analyse de l'École Royale Polytechnique, 1821
"A function is continuous if, for every value of the variable between given limits, the numerical value of the difference between two successive values of the function becomes indefinitely small with the numerical value of the difference between the corresponding values of the variable."
— from Cours d'Analyse, 1821
All quotes by Augustin-Louis Cauchy (546)
The residue theorem simplifies contour integrals.
Aphorism: Precision in math, clarity in life.
Elastic curves obey differential geometry.
God’s design is evident in mathematical harmony.
The Cauchy sequence defines completeness.
Perseverance through adversity defines character.
In politics, I support legitimate authority.
Teaching math is an art of illumination.
The fundamental theorem of algebra holds by analysis.
Reflections on youth: passion for numbers.
Witty reply to a rival: Your proof has holes larger than limits!
Vector calculus emerges from scalar fields.
The beauty of a proof is its elegance.
Correspondence with Poisson on heat conduction.
Life is a series of convergences and divergences.
In science, humility before nature.
The gamma function extends factorial.
Political aphorism: Stability fosters innovation.
Humor: Integrals are just sums in disguise.
Fourier series require careful convergence.
Contemporaries of Augustin-Louis Cauchy
Other Mathematicss born within 50 years of Augustin-Louis Cauchy (1789–1857).