## Mathematics, Queen and Servant of ScienceAn integration and amplification of two earlier volumes by the same author: The queen of the sciences, 1931 and The handmaiden of the sciences, 1937, this book presents a history of pure and applied mathematics. |

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abstract addition algebra analysis applied arithmetic associative algebra assumed calculating called century Chapter common complex concept connection constructed continuous coordinates corresponding curve defined definition described dimensions distance elements equal equations example experience express fact field figure finite formula functions geometry give given ideal imagined importance instance integers interest intuition invariant least less logic manifold mathe mathematicians mathematics matics matter means measured mechanics motion multiplication nature noted numbers object observed operations original particular passing physical plane positive possible postulates present prime probability problem proof properties proved pure question rational reader reasoning relativity respect result ring scientific seems sense simple space square straight line sufficient suggested surface symbols theorem theory things tion transformations true unique universe variable whole written zero