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The Early Mathematical Manuscripts of Leibniz
The impact of the work of German mathematician GOTTFRIED WILHELM LEIBNIZ (1646-1716) on modern science and technology is all but incalculable, but for starters, his notation for infinitesimal calculus-which he developed independently of Newton-remains in use today, and his invention of binary counting is the basis for modern computing. He was a powerfully influential philosopher as well, and is still considered, alongside Descartes and Spinoza, one of the great 17th-century rationalists. With no complete edition of his numerous writings on the wide range of subjects he expounded upon available even today, this 1920 collection of his early mathematical manuscripts-as well as some third-party commentary on them-continues to be essential to anyone wishing to understand Leibniz's contributions to modern science. Here students of the history of science and math lovers alike will enjoy Leibniz's thoughts on the infinitesimal calculus, including a series of manuscripts from 1675, 1676, and 1677, plus the essays "Leibniz in London" and "Leibniz and Pascal" by German scholar C.I. Gerhardt.
- GenresMathematics
238 pages, Paperback
First published January 1, 1920
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About the author
Gottfried Wilhelm Leibniz
1,382 books554 followersGerman philosopher and mathematician Baron Gottfried Wilhelm von Leibniz or Leibnitz invented differential and integral calculus independently of Isaac Newton and proposed an optimist metaphysical theory that included the notion that we live in "the best of all possible worlds."
Gottfried Wilhelm von Leibniz, a polymath, occupies a prominent place in the history. Most scholars think that Leibniz developed and published ever widely used notation. Only in the 20th century, his law of continuity and transcendental homogeneity found implementation in means of nonstandard analysis. He of the most prolific in the field of mechanical calculators. He worked on adding automatic multiplication and division to calculator of Blaise Pascal, meanwhile first described a pinwheel in 1685, and used it in the first mass-produced mechanical arithmometer. He also refined the binary number system, the foundation of virtually all digital computers.
Leibniz most concluded that God ably created our universe in a restricted sense, Voltaire often lampooned the idea. Leibniz alongside the great René Descartes and Baruch Spinoza advocated 17th-century rationalism. Applying reason of first principles or prior definitions, rather than empirical evidence, produced conclusions in the scholastic tradition, and the work of Leibniz anticipated modern analytic logic.
Leibniz made major contributions to technology, and anticipated that which surfaced much later in probability, biology, medicine, geology, psychology, linguistics, and computer science. He wrote works on politics, law, ethics, theology, history, and philology. Various learned journals, tens of thousands of letters, and unpublished manuscripts scattered contributions of Leibniz to this vast array of subjects. He wrote in several languages but primarily Latin and French. No one completely gathered the writings of Leibniz.
Gottfried Wilhelm von Leibniz, a polymath, occupies a prominent place in the history. Most scholars think that Leibniz developed and published ever widely used notation. Only in the 20th century, his law of continuity and transcendental homogeneity found implementation in means of nonstandard analysis. He of the most prolific in the field of mechanical calculators. He worked on adding automatic multiplication and division to calculator of Blaise Pascal, meanwhile first described a pinwheel in 1685, and used it in the first mass-produced mechanical arithmometer. He also refined the binary number system, the foundation of virtually all digital computers.
Leibniz most concluded that God ably created our universe in a restricted sense, Voltaire often lampooned the idea. Leibniz alongside the great René Descartes and Baruch Spinoza advocated 17th-century rationalism. Applying reason of first principles or prior definitions, rather than empirical evidence, produced conclusions in the scholastic tradition, and the work of Leibniz anticipated modern analytic logic.
Leibniz made major contributions to technology, and anticipated that which surfaced much later in probability, biology, medicine, geology, psychology, linguistics, and computer science. He wrote works on politics, law, ethics, theology, history, and philology. Various learned journals, tens of thousands of letters, and unpublished manuscripts scattered contributions of Leibniz to this vast array of subjects. He wrote in several languages but primarily Latin and French. No one completely gathered the writings of Leibniz.
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June 30, 2010I think we had readings from this as part of 'the calculus,' but I don't quite remember which edition it was.
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