Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra PDF

Author: Jacob Klein

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 246

ISBN-13: 0486319814

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Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

Mathematics in Western Culture

Mathematics in Western Culture PDF

Author: Morris Kline

Publisher: Oxford University Press

Published: 1964-12-31

Total Pages: 513

ISBN-13: 0195345452

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This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.

Mathematical Thought from Ancient to Modern Times

Mathematical Thought from Ancient to Modern Times PDF

Author: Morris Kline

Publisher:

Published: 1972

Total Pages: 1268

ISBN-13:

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The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

A Brief History of Mathematical Thought

A Brief History of Mathematical Thought PDF

Author: Luke Heaton

Publisher: Oxford University Press

Published: 2017

Total Pages: 337

ISBN-13: 0190621761

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Emblazoned on many advertisements for the wildly popular game of Sudoku are the reassuring words, -no mathematical knowledge required.- Anxiety about math plagues many of us, and school memories can still summon intense loathing. In A Brief History of Mathematical Thought, Luke Heaton shows that much of what many think-and fear-about mathematics is misplaced, and to overcome our insecurities we need to understand its history. To help, he offers a lively guide into and through the world of mathematics and mathematicians, one in which patterns and arguments are traced through logic in a language grounded in concrete experience. Heaton reveals how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped shaped the early logic of mathematics; how the Fibonacci sequence, the rise of algebra, and the invention of calculus are connected; how clocks, coordinates, and logical padlocks work mathematically; and how, in the twentieth century, Alan Turing's revolutionary work on the concept of computation laid the groundwork for the modern world. A Brief History of Mathematical Thought situates mathematics as part of, and essential to, lived experience. Understanding it requires not abstract thought or numbing memorization but an historical imagination and a view to its origins. --

Mathematical Thought From Ancient to Modern Times, Volume 3

Mathematical Thought From Ancient to Modern Times, Volume 3 PDF

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 439

ISBN-13: 0199770484

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This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Mathematical Thought and its Objects

Mathematical Thought and its Objects PDF

Author: Charles Parsons

Publisher: Cambridge University Press

Published: 2007-12-24

Total Pages:

ISBN-13: 9781139467278

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Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.