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The Golden Ratio: The Story of PHI
The Golden Ratio:
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Zero: The Biography of a Dangerous Idea
The Biogragphy of a
Dangerous Idea

Where Mathematics Comes From
Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being

Guide to Constructing the Universe
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Elementary & Middle School Mathematics: Teaching Developmentally

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Mathematicians ~

Pierre-Simon Laplace

Benoit B. Mandelbrot
James Clerk Maxwell

Marin Mersenne
August Ferdinand Mobius

Pierre-Simon de Laplace French Astronomer and Mathematician, Giclee Print
Pierre-Simon de Laplace French Astronomer
and Mathematician,
Giclee Print

Pierre-Simon Laplace
b. 3-23-1749; Beaumont-en-Auge, Normandy, France
d. 3-5-1827; Paris

Astronomer and mathematician Pierre-Simon Laplace formulated a great number of equations which appear in many branches of mathematical physics.

Laplace, often referred to as the “Newton of France”, is one of the 72 names engraved on the Eiffel Tower.

FYI ~ Mary Fairfax Somerville translated Laplace's work.

Pierre-Simon Laplace quotes ~
• “Life's most important questions are, for the most part, nothing but probability problems.”
• “What we know is not much. What we do not know is immense.” (attributed)
• “Nature laughs at the difficulties of integration.”

Portrait of Gottfried Wilhelm (1646-1716) Baron de Leibniz Giclee Print
Gottfried Wilhelm,
Baron de Leibniz
Giclee Print

Gottfried Wilhelm Baron de Leibniz
b. 7-1-1646; Leipzig, Germany
d. 11-14-1716; Hanover, Electorate of Saxony

Philosopher and mathematican Gottfried Leibniz developed “infinitesimal calculus” at the same time and independent of Isaac Newton. He also developed mechanical calculators.

The Calculus Wars: Newton, Leibniz and the Greatest Mathematical Clash of All Time

The Fractal Geometry of Nature
Benoit B. Mandelbrot
The Fractal Geometry
of Nature

The Fractal Geometry of Nature
von Koch Curve Wikipedia

Benoit B. Mandelbrot
b. 11-20-1924; Warsaw, Poland
d. 10-14-2010; Cambridge, MA

Mandelbrot will be best remembered as the “father of fractal geometry”, coining the term “fractal”, and describing the Mandelbrot set.

Mandelbrot was describing self-similar patterns, nearly or exactly the same at every scale. The word is based on the the Latin term fractus meaning “broken”, “fractured”.

James Clerk Maxwell, Giclee Print
James Clerk Maxwell
Giclee Print

James Clerk Maxwell
b. 11-13-1831; Edinburgh, Scotland
d. 8-13-1910; Cambridge

James Clerk Maxwell was a mathematician and theoretical physicist noted for his equations in electricity, magnetism and inductance; and laying the foundations for the 20th century fields of special relativity and quantum mechanics. He also made the first true color photographs.

James Clerk Maxwell quote:
• “Mathematicians may flatter themselves that they possess new ideas which mere human language is as yet unable to express. Let them make the effort to express these ideas in appropriate words without the aid of symbols, and if they succeed they will not only lay us laymen under a lasting obligation, but, we venture to say, they will find themselves very much enlightened during the process, and will even be doubtful whether the ideas as expressed in symbols had ever quite found their way out of the equations into their minds”. The Scientific Papers of James Clerk Maxwell (1890 edition, reprint 2003), Vol. 2, 217

The Man Who Changed Everything: The Life of James Clerk Maxwell

Marin Mersenne, French Mathematician and Monk, Giclee Print
Marin Mersenne,
Giclee Print

Marin Mersenne
b. 9-8-1588; Oizé, Maine, France
d. 9-1-1648; Paris

Marin Mersenne was a mathematician, theologian, philosopher, music theorist and monk.

August Ferdinand Mobius, German Scientist Professor of Astronomy, Giclee Print
August Ferdinand Mobius, German Scientist
of Astronomy
Giclee Print

August Ferdinand Mobius
b. 10-24-1790; Schulpforta, Saxony-Anhalt, Germany
d. 9-26-1868; Leipzig

Mobius, a mathematician and professor of astronomy, is best known for his discovery of the Möbius strip, “a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space.”

The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
M. C. Escher “Ants” on a Mobius Strip poster

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