On the Influence of Signs in Mathematical Reasoning

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ISBN 13 :
Total Pages : 377 pages
Book Rating : 4.:/5 (542 download)

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Book Synopsis On the Influence of Signs in Mathematical Reasoning by : Charles Babbage

Download or read book On the Influence of Signs in Mathematical Reasoning written by Charles Babbage and published by . This book was released on 1827 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Influence of Signs in Mathematical Reasoning

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ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis On the Influence of Signs in Mathematical Reasoning by : Charles Babbage

Download or read book On the Influence of Signs in Mathematical Reasoning written by Charles Babbage and published by . This book was released on 1826 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Influence of Signs in Mathematical Reasoning

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ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (242 download)

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Book Synopsis On the Influence of Signs in Mathematical Reasoning by : Charles Babbage

Download or read book On the Influence of Signs in Mathematical Reasoning written by Charles Babbage and published by . This book was released on 1826 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Mathematical Reasoning

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Publisher : Cambridge University Press
ISBN 13 : 1139632566
Total Pages : 364 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis An Introduction to Mathematical Reasoning by : Peter J. Eccles

Download or read book An Introduction to Mathematical Reasoning written by Peter J. Eccles and published by Cambridge University Press. This book was released on 2013-06-26 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Visualization, Explanation and Reasoning Styles in Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402033354
Total Pages : 315 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Visualization, Explanation and Reasoning Styles in Mathematics by : P. Mancosu

Download or read book Visualization, Explanation and Reasoning Styles in Mathematics written by P. Mancosu and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.

The Mathematical Work of Charles Babbage

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Publisher : Cambridge University Press
ISBN 13 : 9780521524766
Total Pages : 248 pages
Book Rating : 4.5/5 (247 download)

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Book Synopsis The Mathematical Work of Charles Babbage by : J. M. Dubbey

Download or read book The Mathematical Work of Charles Babbage written by J. M. Dubbey and published by Cambridge University Press. This book was released on 2004-02-12 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes Babbage's work on the design and implementation of the difference and analytical engines.

A History of Mathematical Notations: Notations in elementary mathematics

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ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A History of Mathematical Notations: Notations in elementary mathematics by : Florian Cajori

Download or read book A History of Mathematical Notations: Notations in elementary mathematics written by Florian Cajori and published by . This book was released on 1928 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Mathematical Notations

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Publisher : Cosimo, Inc.
ISBN 13 : 1602067147
Total Pages : 393 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis A History of Mathematical Notations by : Florian Cajori

Download or read book A History of Mathematical Notations written by Florian Cajori and published by Cosimo, Inc.. This book was released on 2007-06-01 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.

A History of Mathematical Notations (Two Volume in One)

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Publisher : Cosimo, Inc.
ISBN 13 : 1616405716
Total Pages : 854 pages
Book Rating : 4.6/5 (164 download)

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Book Synopsis A History of Mathematical Notations (Two Volume in One) by : Florian Cajori

Download or read book A History of Mathematical Notations (Two Volume in One) written by Florian Cajori and published by Cosimo, Inc.. This book was released on 2011-12-01 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes, first published in 1928-9 and reproduced here under one cover, distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Mathematical Notations, and The Chequered Career of Ferdinand Rudolph Hassler.

Mathematical Perspectives

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Publisher : Academic Press
ISBN 13 : 148326257X
Total Pages : 289 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Perspectives by : Joseph W. Dauben

Download or read book Mathematical Perspectives written by Joseph W. Dauben and published by Academic Press. This book was released on 2014-05-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann’s 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of “figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss’ Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers.

The Search for Mathematical Roots, 1870-1940

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Publisher : Princeton University Press
ISBN 13 : 1400824044
Total Pages : 705 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Search for Mathematical Roots, 1870-1940 by : Ivor Grattan-Guinness

Download or read book The Search for Mathematical Roots, 1870-1940 written by Ivor Grattan-Guinness and published by Princeton University Press. This book was released on 2011-02-11 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A History of Mathematical Notations

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ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A History of Mathematical Notations by : Florian Cajori

Download or read book A History of Mathematical Notations written by Florian Cajori and published by . This book was released on 1928 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Collected Papers of Bertrand Russell, Volume 2

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Publisher : Taylor & Francis
ISBN 13 : 1040231632
Total Pages : 698 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Collected Papers of Bertrand Russell, Volume 2 by : Nicholas Griffin

Download or read book The Collected Papers of Bertrand Russell, Volume 2 written by Nicholas Griffin and published by Taylor & Francis. This book was released on 2024-08-01 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1896-1899 papers, few of which were published in Russell's lifetime, concentrate primarily on physics, arithmetic and the concept of quantity. Several views that later became well-known in his The Principles of Mathematics actually originate in his earlier work, and though incomplete,An Analysis of Mathematical Reasoning, forms a centrepiece of the volume.

Charles Babbage on the Principles and Development of the Calculator

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Publisher : Courier Corporation
ISBN 13 : 0486246914
Total Pages : 449 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Charles Babbage on the Principles and Development of the Calculator by : Charles Babbage

Download or read book Charles Babbage on the Principles and Development of the Calculator written by Charles Babbage and published by Courier Corporation. This book was released on 1961-01-01 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant 19th-century mathematician, Charles Babbage articulated the principles on which all modern computing machines are based. This compilation of his writings, in addition to those of several of his contemporaries, illuminates the work that led to the development of the calculator. Essential reference for anyone interested in the history of computing technology.

Report of the Annual Meeting

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ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Report of the Annual Meeting by : British Association for the Advancement of Science

Download or read book Report of the Annual Meeting written by British Association for the Advancement of Science and published by . This book was released on 1849 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transactions of the Cambridge Philosophical Society

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Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.:/5 (327 download)

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Book Synopsis Transactions of the Cambridge Philosophical Society by :

Download or read book Transactions of the Cambridge Philosophical Society written by and published by . This book was released on 1883 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Works of Charles Babbage Vol 1

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Publisher : Taylor & Francis
ISBN 13 : 1040236863
Total Pages : 510 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Works of Charles Babbage Vol 1 by : Charles Babbage

Download or read book The Works of Charles Babbage Vol 1 written by Charles Babbage and published by Taylor & Francis. This book was released on 2024-10-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A set of 11 volumes which contains all the known works of Charles Babbage, who has been described as the "pioneer of the computer". His mathematical, scientific and engineering work is highly significant for its original approach to problem-solving and is reset for today's reader.