Details

Subject(s)

• Mathematics—History [Browse]

Series

• Dolciani mathematical expositions no. 7. [More in this series]
• The Dolciani mathematical expositions ; no. 7

Bibliographic references

Includes bibliographies and index.

Contents

• Order within disorder : the birth of mathematical probability (1654)
• Moving pictures versus still pictures : the invention of the differential calculus (1629-1680s)
• Like opening and closing a door : the fundamental theorem of the calculus (1669-1690s)
• Power(ful) series : Taylor and Maclaurin series (1715,1742)
• Yea + yea + yea + yea : Fourier series (1807)
• The liberation of geometry 1 : the discovery of non-Euclidean geometry (1829)
• The liberation of geometry 2 : the discovery of non-Euclidean geometry (1829) continued
• The liberation of algebra 1 : the discovery of a noncommutative algebra (1843)
• The liberation of algebra 2 : the discovery of a noncommutative algebra (1843) continued
• An important atomic structure : the group structure (1830-1860)
• A remarkable codification : the Erlanger Programm (1872)
• Pythagoras justified : the arithmetization of analysis, the natural number system as a foundation for mathematics (end of the nineteenth century)
• Digging deeper : set theory as a foundation of mathematics (end of the nineteenth century)
• Abstract spaces (1906)
• The function concept refined by set theory (beginning of the twentieth century)
• Beyond the finite : transfinite numbers (1874-1895)
• Some remarkable definitions : formal axiomatics (early twentieth century)
• A definition of mathematics (early twentieth century)
• Some clarifying examples : a definition of mathematics (early twentieth century) continued
• The third level : metamathematics (1899-1920)
• Mathematics as a branch of theology : Godel's incompleteness theorem (1931)
• The dream that came true : the modern electronic computing machines (1944)
• Resolution of the four-color conjecture (1976)
• Apology and regrets.

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ISBN

0883853078

LCCN

^^^81086186^

OCLC

8589981

RCP

H - S

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