Data Lat. U. Engl

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Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Data Lat. U. Engl by : Euclid

Download or read book Data Lat. U. Engl written by Euclid and published by . This book was released on 1980 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Mathematical Heritage

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Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Mathematical Heritage by : J. Dalton Tarwater

Download or read book American Mathematical Heritage written by J. Dalton Tarwater and published by . This book was released on 1981 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution of Mathematical Concepts

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Publisher : Courier Corporation
ISBN 13 : 0486490610
Total Pages : 242 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Evolution of Mathematical Concepts by : Raymond L. Wilder

Download or read book Evolution of Mathematical Concepts written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Classics in the History of Greek Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402026404
Total Pages : 464 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Classics in the History of Greek Mathematics by : Jean Christianidis

Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.

DIOCLES, On Burning Mirrors

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Publisher : Springer Science & Business Media
ISBN 13 : 3642809812
Total Pages : 257 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis DIOCLES, On Burning Mirrors by : G. J. Toomer

Download or read book DIOCLES, On Burning Mirrors written by G. J. Toomer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication would not have been what it is without the help of many institutions and people, which I acknowledge most gratefully. I thank the Central Library and Documentation Center, Iran, and its director, Mr. Iraji Afshar, for permission to publish photo graphs of that part of ms. 392 of the Shrine Library, Meshhed, containing Diocles' treatise. I also thank the authorities of the Shrine Library, and especially Mr. Ahmad GolchTn-Ma'anT, for their cooperation in providing photographs of the manuscript. Mr. GolchTn Ma'anT also sent me, most generously, a copy of his catalogue of the astronomical and mathematical manuscripts of the Shrine Library. I am grateful to the Chester Beatty Library, Dublin, and the Universiteits-Bibliotheek, Leid'en, for providing me with microfilms of manuscripts I wished to consult, and to the Biblioteca Ambrosiana, Milan, for granting me access to its manuscripts. The text pages in Arabic script and the Index of Technical Terms were set by a computer-assisted phototypesetting system, using computer programs developed at the University of Washington and a high-speed image-generation phototypesetting device. A continuous stream of text on punched cards was fed through the Katib formatting program, which broke up the text into lines and pages and arranged the section numbers and apparatus on each page. Output from Katib was fed through the compositor program Hattat to create a magnetic tape for use on the VideoComp phototypesetter.

From China to Paris

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Publisher : Franz Steiner Verlag
ISBN 13 : 9783515082235
Total Pages : 486 pages
Book Rating : 4.0/5 (822 download)

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Book Synopsis From China to Paris by : Yvonne Dold-Samplonius

Download or read book From China to Paris written by Yvonne Dold-Samplonius and published by Franz Steiner Verlag. This book was released on 2002 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.

The first Latin translation of Euclid's Elements commonly ascribed to Adelard of Bath

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Publisher : PIMS
ISBN 13 : 9780888440648
Total Pages : 436 pages
Book Rating : 4.4/5 (46 download)

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Book Synopsis The first Latin translation of Euclid's Elements commonly ascribed to Adelard of Bath by : Euclid

Download or read book The first Latin translation of Euclid's Elements commonly ascribed to Adelard of Bath written by Euclid and published by PIMS. This book was released on 1983 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and the Historian's Craft

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387252841
Total Pages : 384 pages
Book Rating : 4.2/5 (528 download)

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Book Synopsis Mathematics and the Historian's Craft by : Glen van Brummelen

Download or read book Mathematics and the Historian's Craft written by Glen van Brummelen and published by Springer Science & Business Media. This book was released on 2005-06-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility

The Evolution of the Euclidean Elements

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027705099
Total Pages : 402 pages
Book Rating : 4.7/5 (5 download)

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Book Synopsis The Evolution of the Euclidean Elements by : W.R. Knorr

Download or read book The Evolution of the Euclidean Elements written by W.R. Knorr and published by Springer Science & Business Media. This book was released on 1975 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.

Galileo's Intellectual Revolution

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Publisher : London : Macmillan
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Galileo's Intellectual Revolution by : William R. Shea

Download or read book Galileo's Intellectual Revolution written by William R. Shea and published by London : Macmillan. This book was released on 1972 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Episodes in the History of Modern Algebra (1800-1950)

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869043
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Episodes in the History of Modern Algebra (1800-1950) by : Jeremy J. Gray

Download or read book Episodes in the History of Modern Algebra (1800-1950) written by Jeremy J. Gray and published by American Mathematical Soc.. This book was released on 2011-08-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.

Causality and Scientific Explanation

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Causality and Scientific Explanation by : William A. Wallace

Download or read book Causality and Scientific Explanation written by William A. Wallace and published by . This book was released on 1972 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Wallace brings a fine intelligence and years of reflection to show how the concept of causal explanation can contribute to the cumulative growth of knowledge in science. Wallace's approach is historical as well as analytical, and consists in a careful and highly original study of how the search for causes has provided a paradigm of scientific method from its origins in the Middle Ages up to the present day. The first of two volumes poses the contemporary question and traces its origin back to the 'Posterior Analytics' of Aristotle. The author then concentrates on medieval science to document the impact of the 'Analytics' at the universities of Oxford, Paris, and Padua from the 13th to the 16th centuries, evaluating in the process the rival claims of historians of science as to the importance of these centers for the genesis of the experimental method. The volume concludes with a study of the founders of modern science from William Gilbert to Isaac Newton, showing the surprising use they made of causal concepts in their own now classical contributions.

On the Astrolabe

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Publisher : Franz Steiner Verlag
ISBN 13 : 9783515087131
Total Pages : 464 pages
Book Rating : 4.0/5 (871 download)

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Book Synopsis On the Astrolabe by : Farghānī

Download or read book On the Astrolabe written by Farghānī and published by Franz Steiner Verlag. This book was released on 2005 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Middle Ages the astrolabe was the best known and most widely used astronomical instrument both in the Islamic world and in the West. The oldest extant description of the construction of this instrument was written by the well-known Arabic astronomer al-Farghani (Baghdad, ca. 856). His treatise is especially valuable because of the tables it contains to enable an artificer to draw the various circles and arcs on the instrument. The Arabic text of this work, including the tables, is presented here for the first time in a critical edition, accompanied by an English translation and a commentary reproducing al-Farghani's reasoning in modern mathematical notation.

Exposition by Emil Artin: A Selection

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Publisher : American Mathematical Soc.
ISBN 13 : 0821841726
Total Pages : 359 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Exposition by Emil Artin: A Selection by : Emil Artin

Download or read book Exposition by Emil Artin: A Selection written by Emil Artin and published by American Mathematical Soc.. This book was released on 2007 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. He also discovered and proved the Artin reciprocity law, the culmination of over a century and a half of progress in algebraic number theory. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teaching and expository writing. In this volume we gather together in one place a selection of his writings wherein the reader can learn some beautiful mathematics as seen through the eyes of a true master. The volume's Introduction provides a short biographical sketch of Emil Artin, followed by an introduction to the books and papers included in the volume. The reader will first find three of Artin's short books, titled The Gamma Function, Galois Theory, and Theory of Algebraic Numbers, respectively. These are followed by papers on algebra, algebraic number theory, real fields, braid groups, and complex and functional analysis. The three papers on real fields have been translated into English for the first time. The flavor of these works is best captured by the following quote of Richard Brauer. ``There are a number of books and sets of lecture notes by Emil Artin. Each of them presents a novel approach. There are always new ideas and new results. It was a compulsion for him to present each argument in its purest form, to replace computation by conceptual arguments, to strip the theory of unnecessary ballast. What was the decisive point for him was to show the beauty of the subject to the reader.'' Information for our distributors: Copublished with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary

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Publisher : World Scientific
ISBN 13 : 1783261056
Total Pages : 664 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary by : Stephen G Brush

Download or read book Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary written by Stephen G Brush and published by World Scientific. This book was released on 2003-07-28 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces physics students and teachers to the historical development of the kinetic theory of gases, by providing a collection of the most important contributions by Clausius, Maxwell and Boltzmann, with introductory surveys explaining their significance. In addition, extracts from the works of Boyle, Newton, Mayer, Joule, Helmholtz, Kelvin and others show the historical context of ideas about gases, energy and irreversibility. In addition to five thematic essays connecting the classical kinetic theory with 20th century topics such as indeterminism and interatomic forces, there is an extensive international bibliography of historical commentaries on kinetic theory, thermodynamics, etc. published in the past four decades.The book will be useful to historians of science who need primary and secondary sources to be conveniently available for their own research and interpretation, along with the bibliography which makes it easier to learn what other historians have already done on this subject.

Joseph Fourier, 1768-1830

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Publisher :
ISBN 13 : 9780262571784
Total Pages : 530 pages
Book Rating : 4.5/5 (717 download)

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Book Synopsis Joseph Fourier, 1768-1830 by : Ivor Grattan-Guinness

Download or read book Joseph Fourier, 1768-1830 written by Ivor Grattan-Guinness and published by . This book was released on 2003-02-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond being the first substantial publication on Fourier, this work contains the text of Fourier's seminal paper of 1807 on the propagation of heat, marking the first time it has ever appeared in print. This paper incorporates many of the mathematical creations on which Fourier's fame rests, including derivation of the diffusion equation, the separation of the treatment of surface phenomena from internal phenomena, the use of boundary values and initial conditions, and the development of "Fourier series" and the so-called "Bessel functions."When submitted to the examiners of the Institut de France, the originality of the paper and the surprising nature of some of its mathematical revelations caused great controversy, and it was denied publication both in 1807 and in later years. Fourier had the support, among the examiners, of Laplace and Monge, but Lagrange was adamantly in opposition, so that Fourier's work did not appear in print until 1822, reworked into book form.Fourier's mathematical discoveries are intimately related to his interest in the solution of physical problems and their experimental verification. The mathematical methods he developed in connection with heat diffusion apply to physical situations far beyond the boundaries of this area. Generally, Fourier may be credited with one of the first major extensions of mathematical physics beyond the applications of Newton's laws of motion and universal gravitation.The opening biographical chapter of this book follows Fourier's career up to the submission of the 1807 paper, and the two closing chapters take up his life and work from that point on. Fourier had strong political motivations and spent much of his life in the public service. These chapters trace his political difficulties, both before and after 1807, when he was the prefect of a department of France and was subjected to the dislocations of Napoleon's ups and downs. These chapters also describe aspects of the turbulent but productive development of French science from the Revolution to 1830.The core of the book presents the paper of 1807 in its original French and with the original notation. Grattan-Guinness has divided the paper into sections by the sequence of the problems taken up, and he introduces and, where necessary, closes each section with commentary relevant to Fourier's later work in these areas. The paper itself (cllows the chronology of Fourier's discoveries, and among the topics treated are, in this order: heat diffusion between disjoint bodies and in continuous bodies; the appearance of partial differential equations; the special solution for the lamina; sine and cosine series for an arbitrary function; reflections on the vibrating string problem; solution for the annulus; the full Fourier series for an arbitrary function; reflections on n-body analysis; solution for the sphere; solution for the cylinder; steady-state diffusion in the rectangular prism; time-dependent diffusion in the cube; and Fourier's experimental work.

The Mathematics of the Heavens and the Earth

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Publisher : Princeton University Press
ISBN 13 : 1400833310
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen

Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.