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“…Fascinating accounts of the lives and accomplishments of history's greatest mathematical minds, from Pythagoras to Georg Cantor. Muir also provides charming anecdotes about Descartes, Euler, Pascal, and many others, as well as accessible discussions of their contributions to mathematical thought.…”
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“…Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. …”
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“…L'essence des mathématiques, c'est la liberté, disait Georg Cantor. Quelles sont les nouvelles frontières, les nouveaux défis de cette science qui ne s'impose aucune limite ? …”
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“…It includes detailed discussions of George Cantor's transfinite cardinal numbers and Kurt Gödel's Incompleteness Theorems. …”
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“…In the year (1879–1884), George Cantor coined few problems and consequences in the field of set theory. …”
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