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analysis: Quick Facts

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Photos

transformation of a circular region into an approximately rectangular region
an infinite geometrical series
graph of distance traveled versus time elapsed for the motion of an automobile
Two panels showing function graphing concepts: Panel A illustrates plotting an arbitrary function f by selecting values of t and marking corresponding f(t) points; Panel B graphs the specific parabola f(t) equals t squared, with plotted points showing how t values map to t squared. Both graphs use dashed lines to connect points to the axes for clarity.
difference between average and instantaneous rates of change
A graph of the function f(x) = x cubed minus 3x plus 2 is shown on a blue background, with a red curve passing through key points. Local maximum and minimum points are marked with black dots at x equals negative 1 and x equals 1, illustrating important features of the curve.
integral region graph
A graph illustrating a calculus concept shows the curve of a function f, with shaded regions under the curve representing the area A(t) from a to t, and an additional striped area labeled hf(t) from t to t+h.
Riemann integral
Poincaré section, or map
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Related Topics and References

Topics

Key People

Henri Poincaré, 1909.
Henri Poincaré
French mathematician
Bernhard Riemann, lithograph after a portrait, artist unknown, 1863.
Bernhard Riemann
German mathematician
Engraved portrait of Swiss mathematician and physicist Leonhard Euler in profile, wearing a dark coat and ruffled white shirt, from the 1740s.
Leonhard Euler
Swiss mathematician
Norbert Wiener.
Norbert Wiener
American mathematician
Joseph Fourier
Joseph Fourier
French mathematician
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Adrien-Marie Legendre
French mathematician
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Augustin-Louis Cauchy
French mathematician
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Joseph Liouville
French mathematician
Karl Weierstrass
Karl Weierstrass
German mathematician
Louis Nirenberg
Louis Nirenberg
Canadian-born American mathematician
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Sir Edmund Taylor Whittaker
British mathematician
Godfrey Hardy, 1941
G.H. Hardy
English mathematician
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George David Birkhoff
American mathematician
Lebesgue, portrait by an unknown artist, 1929
Henri-Léon Lebesgue
French mathematician
Charles-Émile Picard.
Charles-Émile Picard
French mathematician
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Edward Charles Titchmarsh
British mathematician
Mittag-Leffler
Magnus Gösta Mittag-Leffler
Swedish mathematician
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Laurent Lafforgue
French mathematician
Charles-François Sturm
Charles-François Sturm
French-Swiss mathematician
Isadore Singer receiving the Abel Prize
Isadore Singer
American mathematician

Related Quizzes

Italian-born physicist Dr. Enrico Fermi draws a diagram at a blackboard with mathematical equations. circa 1950.
Define It: Math Terms
Equations written on blackboard
Numbers and Mathematics