Ivor Grattan-Guinness's Books

The Rainbow of Mathematics

A History of the Mathematical Sciences

By: Ivor Grattan-Guinness,I. Grattan-Guinness

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The Rainbow of Mathematics

A History of the Mathematical Sciences

By: Ivor Grattan-Guinness,I. Grattan-Guinness

For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.

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836

Publisher

W. W. Norton & Company

Published Date

ISBN 10

0393320308

ISBN 13

9780393320305

Pierre-Simon Laplace, 1749-1827

A Life in Exact Science

By: Charles Coulston Gillispie,Ivor Grattan-Guinness

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Pierre-Simon Laplace, 1749-1827

A Life in Exact Science

By: Charles Coulston Gillispie,Ivor Grattan-Guinness

Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science, for the philosophical point of view he developed in the presentation of his work, and for the leading part he took in forming the modern discipline of mathematical physics. His two most famous treatises were the five-volume Traité de mécanique céleste (1799-1825) and Théorie analytique des probabilités (1812). In the former he demonstrated mathematically the stability of the solar system in service to the universal Newtonian law of gravity. In the latter he developed probability from a set of miscellaneous problems concerning games, averages, mortality, and insurance risks into the branch of mathematics that permitted the quantification of estimates of error and the drawing of statistical inferences, wherever data warranted, in social, medical, and juridical matters, as well as in the physical sciences. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution. A scientific biography by Charles Gillispie comprises the major portion of the book. Robert Fox contributes an account of Laplace's attempt to form a school of young physicists who would extend the Newtonian model from astronomy to physics, and Ivor Grattan-Guinness summarizes the history of the scientist's most important single mathematical contribution, the Laplace Transform.

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Page Count

338

Publisher

Princeton University Press

Published Date

ISBN 10

0691050279

ISBN 13

9780691050270

The Search for Mathematical Roots, 1870-1940

Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel

By: Ivor Grattan-Guinness

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The Search for Mathematical Roots, 1870-1940

Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel

By: Ivor Grattan-Guinness

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.

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Page Count

705

Publisher

Princeton University Press

Published Date

ISBN 10

1400824044

ISBN 13

9781400824045

The Rainbow of Mathematics

A History of the Mathematical Sciences

By: Ivor Grattan-Guinness,I. Grattan-Guinness

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The Rainbow of Mathematics

A History of the Mathematical Sciences

By: Ivor Grattan-Guinness,I. Grattan-Guinness

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Solve jigsaw puzzle

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Page Count

836

Publisher

W. W. Norton & Company

Published Date

ISBN 10

0393320308

ISBN 13

9780393320305

Pierre-Simon Laplace, 1749-1827

A Life in Exact Science

By: Charles Coulston Gillispie,Ivor Grattan-Guinness

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Pierre-Simon Laplace, 1749-1827

A Life in Exact Science

By: Charles Coulston Gillispie,Ivor Grattan-Guinness

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N/A

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Solve jigsaw puzzle

Age

Page Count

338

Publisher

Princeton University Press

Published Date

ISBN 10

0691050279

ISBN 13

9780691050270

Book's by Ivor Grattan-Guinness

The Rainbow of Mathematics

The Rainbow of Mathematics

Pierre-Simon Laplace, 1749-1827

Pierre-Simon Laplace, 1749-1827

The Search for Mathematical Roots, 1870-1940

The Search for Mathematical Roots, 1870-1940

The Rainbow of Mathematics

The Rainbow of Mathematics

Pierre-Simon Laplace, 1749-1827

Pierre-Simon Laplace, 1749-1827

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