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1. A History of Greek Mathematics: Volume 1. From Thales to Euclid by Thomas Little Heath | |
Paperback: 468
Pages
(2000-12-27)
list price: US$29.99 -- used & new: US$29.98 (price subject to change: see help) Asin: 0543974480 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
more than just history Theseworkswere first brought to my attention by my Greeklanguage professor nearly 40 years ago as the best English language source on Greek Mathematics. Just as the Greeks did not view `pure' mathematics or geometry as a lifes-work so to younger readers [through collage] the methods of logic may prove most useful. For we retired `geezers' not quite ready for Oprah reruns and made for T.V. `romances' it may be the stimulation ofthe brain by the problems [which are documented and solved infull], the history andthe `awe' of how much these did `without computers';
Academically great |
2. A History of Greek Mathematics: Volume 2. From Aristarchus to Diophantus by Thomas Little Heath | |
Paperback: 602
Pages
(2000-12-27)
list price: US$32.99 -- used & new: US$26.22 (price subject to change: see help) Asin: 0543968774 Canada | United Kingdom | Germany | France | Japan | |
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3. Episodes from the Early History of Mathematics (New Mathematical Library) by Asger Aaboe | |
Paperback: 384
Pages
(1997-08)
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Editorial Review Product Description Customer Reviews (2)
A Fascinating Look at the Early History of Mathematics
Early and timeless beauty in mathematics |
4. A Manual of Greek Mathematics by Sir Thomas L. Heath | |
Paperback: 576
Pages
(2003-12-29)
list price: US$29.95 -- used & new: US$12.95 (price subject to change: see help) Asin: 0486432319 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones. 1931 edition. Customer Reviews (1)
Excellent reference |
5. Amazing Traces of a Babylonian Origin in Greek Mathematics by Joran Friberg | |
Hardcover: 496
Pages
(2007-04-18)
list price: US$150.00 -- used & new: US$146.23 (price subject to change: see help) Asin: 9812704523 Canada | United Kingdom | Germany | France | Japan | |
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6. Euclid - The Creation of Mathematics by Benno Artmann | |
Hardcover: 368
Pages
(1999-06-10)
list price: US$79.95 -- used & new: US$29.94 (price subject to change: see help) Asin: 0387984232 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Interesting survey of the Elements
Roots of mathematics in our Western Culture To Artmann's credit, his book disregards the smallscale disputes amongst superspecialists ("all modern translations of Elements are satisfactory").He overturns the fashionable idea that the "Two Cultures" cannot communicate.So, Rilke has something to say -- perhaps not to Hilbert, but to the widely cultured mathematician, or to the general reader -- about Contradiction, or Widerspruch. About the pre-Euclidean origins of mathematics in Greece, he overmodestly disclaims specialist knowledge.An example:he traces the earliest technical work on the dodecahedron and the icosahedron via pre-Euclideans such as Theaetetus (Plato's friend), and up to the highly abstract Group Theory work on isomorphisms of the 1990s A.D. -- and does this well and surefootedly. Too bad his modesty barred him ("I leave that to the specialists") from analyzing the pre-history of Euclid's Book XII, the classical ancestor of our integral calculus.The fact is that he knows a great deal about Eudoxus (another friend of Plato's).Perhaps more detail in a Second Edition? His work on the so-called Euclidean Algorithm (finding a greatest common factor) is another valuable contribution.Its autobiographical flavor is reminiscent of Archimedes in "Sand Reckoner".It allows him to stake out a clear and non-partisan position on the "where is the algebra?" question, on which scholarly debates often produce more heat than light. So multi-faceted a book, one could wish an Index fuller than a mere 2 pages.Typos are too frequent for a good house like Springer, including two I found in names of authors or book titles.But the book's cultural sweep is admirable throughout, its bibliography good. TL Heath's 1933 report about the Cambridge undergraduate, so struck by Euclid ("a book to be read in bed or on a holiday") may have been exaggerated, making him over into a Young Werther.But Artmann's charming and learned book really is hard to put down, on or off holiday. [note: this is a lightly revised version of a review I submitted a few days ago.-Malcolm Brown]
Roots of mathematics in our Western Culture He largely disregards smallscale battles amongst the superspecialists ("all modern translations of Elements are satisfactory").He overturns the fashionable idea that the "Two Cultures" cannot communicate.(Rilke has things to say, perhaps not to Hilbert, but to the widely cultured mathematician, about Widerspruch!) About the pre-Euclidean origins of mathematics, he overmodestly disclaims specialist knowledge.An example:his tracing of the earliest technical work on dodecahedrons and icosahedrons via pre-Euclideans such as Theaetetus (Plato's friend), and on up to the Group Theory work on isomorphisms of the 1990s A.D. is done well and surefootedly. Too bad his modesty barred him ("I leave that to the specialists") from analyzing the pre-history of Euclid's Book XII, the classical ancestor of our integral calculus.The fact is that he knows a great deal about Eudoxus (another friend of Plato's).Perhaps more detail in a Second Edition? His work on the so-called Euclidean Algorithm (finding a greatest common factor) also contributes importantly.Its autobiographical flavor is reminiscent of that of Archimedes' in "Sand Reckoner".It allows him to stake out a clear and non-partisan position on the question "where is the algebra?" question, on which scholarly debates often produce more heat than light. So multi-faceted a book, one could wish a fuller Index.But the cultural sweep is admirable throughout.TL Heath's 1933 report about the Cambridge undergraduate, so struck by Euclid ("a book to be read in bed or on a holiday") may have exaggerated, making him over into a Young Werther.But Artmann's charming and learned book really is hard to put down, even at vacationtime. ... Read more |
7. Greek Mathematical Thought and the Origin of Algebra by Jacob Klein | |
Paperback: 360
Pages
(1992-09-11)
list price: US$16.95 -- used & new: US$9.99 (price subject to change: see help) Asin: 0486272893 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description 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. This brought about the crucial change in the concept of number that made possible modern science. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography. Customer Reviews (4)
Not light weight
The Inner Workings of the Modern "Abstraction" of Experience from Nature
On 'arithmos' and 'general magnitude' The original was written in the mid 1930s.As Klein writes in this version's preface, "This study was originally written and published in Germany during rather turbulent times." The late Jacob Klein spent his post war years teaching Platonic philosophy at St. John's College.There, he was known as something of a lovable elitist.Professors tell a story about Klein being partial to the number 12.He claimed that there were an exclusive 12 philosophers, 7 Greek and 5 German.The word got out and he soon received a letter from 4,000 American philosophers begging to differ with his opinion. While many might call this book 'philosophy of math,' I doubt Dr. Klein would agree.The book is without much in the way of serious math.It is more concerned with the symbols of math and how they are used.Quoting from the first paragraph of the introduction: "Creation of a formal mathematical language was of decisive significance for the constitution of modern mathematical physics. If the mathematical presentation is regarded as a mere device, preferred only because the insights of natural science can be expressed by "symbols" in the simplest and most exact manner possible, the meaning of the symbolism as well as of the special methods of the physical disciplines in general will be misunderstood. True, in the seventeenth and eighteenth century it was still possible to' express and communicate discoveries concerning the "natural" relations of objects in non mathematical terms, yet even then -or, rather, particularly then - it was precisely the mathematical form, the mos geometricus, which secured their dependability and trustworthiness. After three centuries of intensive development, it has finally become impossible to separate the content of mathematical physics from its form. The fact that elementary presentations of physical science which are to a certain degree nonmathematical and appear quite free of presuppositions in their derivations of fundamental concepts (having recourse, throughout, to immediate "Intuition") are still in vogue should not deceive us about the fact that it is impossible, and has always been impossible, to grasp the meaning of what we nowadays call physics independently of its mathematical form. Thence arise the insurmountable difficulties in which discussions of modern physical theories become entangled as soon as physicist or nonphysicists attempt to disregard the mathematical apparatus and to present the results of scientific research in popular form. The intimate connection of the formal mathematical language with the content of mathematical physics stems from the special kind of conceptualization which is a concomitant of modern science and which was of fundamental importance in its formation." While this iconoclastic promise is a bit difficult to extract from the somewhat professional philosophic prose, there is a wonderful essay in "Biographies of Scientific Objects," edited by Lorraine Daston that serves as an excellent commentary.The essay called "Mathematical Entities in Scientific Discourse" credits Klein with a new perspective from which to interpret the transition of ancient and medieval traditions to the new mathematical physics of the seventeenth century. His was the seemingly narrow-but only deceptively so-perspective of the ancient concept of "arithmos", compared to the concept of number in its modern, symbolic sense. In Klein's own words, the underlying thematics of the book never loses sight of the "general transformation, closely connected with the symbolic understanding of number, of the scientific consciousness of later centuries." Although the Greek conceptualization of mathematical objects was indeed based upon the notion of arithmos, this notion should not be thought of as a concept of "general magnitude." It never means anything other than "a definite number of definite objects," or an "assemblage of things counted". Likewise, geometric figures and curves, commensurable and incommensurable magnitudes, ratios, have their own special ontology which directs mathematical inquiry and its methods. In contradistinction to Greek parlance, "general magnitude," according to Klein, is clearly a modern concept.Proving this case is the project of both books. I think you will find reading this material an interesting journey.
Klein's work is a masterpiece of philosophical exegesis. |
8. The Beginnings of Greek Mathematics (Synthese Historical Library) by A. Szabó | |
Paperback: 372
Pages
(2010-11-02)
list price: US$244.00 -- used & new: US$244.00 (price subject to change: see help) Asin: 9048183499 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
The beginnings of Greekmathematics |
9. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History (Ideas in Context) by Reviel Netz | |
Paperback: 352
Pages
(2003-09-18)
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10. A Short History of Greek Mathematics (Cambridge Library Collection - Classics) by James Gow | |
Paperback: 380
Pages
(2010-06-24)
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11. Archimedes: The Father of Mathematics (The Library of Greek Philosophers) by Heather Hasan | |
Library Binding: 112
Pages
(2006-02-03)
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12. A History of Mathematics: From Mesopotamia to Modernity by Luke Hodgkin | |
Hardcover: 294
Pages
(2005-08-11)
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Shockingly remarkable
A History of Mathematics
A historiography-geek history
Refreshing math history |
13. Mathematics in Ancient Greece (Dover Books on Mathematics) by Tobias Dantzig | |
Paperback: 192
Pages
(2006-11-17)
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Editorial Review Product Description A study of the problems, principles, and procedures that mathematics has inherited from antiquity, this book both instructs and delights. Written by a specialist in interpreting science for lay readers, it recounts the human story behind mathematics, focusing on the insights of such thinkers as Euclid and Hippocrates. 1955 edition. |
14. The Philosophical Mathematics of Isaac Barrow, (1630-1677): Conserving the Ancient Greek Geometry of the Euclidean School by Gregory Gillette | |
Hardcover: 222
Pages
(2009-05-30)
list price: US$109.95 -- used & new: US$109.77 (price subject to change: see help) Asin: 0773447725 Canada | United Kingdom | Germany | France | Japan | |
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15. Greek mathematics (Arts/mathematics, an interfaculty second level course : History of mathematics) by Margaret E Baron | |
Paperback: 52
Pages
(1974)
Isbn: 033505000X Canada | United Kingdom | Germany | France | Japan | |
16. Zeno and the Discovery of Incommensurables in Greek Mathematics (History of Ideas in Ancient Greece) (French Edition) | |
Hardcover: 154
Pages
(1976-05)
Isbn: 0405073119 Canada | United Kingdom | Germany | France | Japan | |
17. Classics in the History of Greek Mathematics (Boston Studies in the Philosophy of Science) | |
Paperback: 473
Pages
(2010-11-02)
list price: US$289.00 -- used & new: US$289.00 (price subject to change: see help) Asin: 9048158508 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This volume includes a selection of 19 classic papers on the history of Greek mathematics that were published during the 20th century and affected significantly the state of the art of this field. It is divided into six thematic sections and covers all the major issues of the Greek mathematical production. First, the inclusion in one volume of a considerable number of papers that had been published for the first time in old, and in certain cases hard to find, scientific journals representing turning-points in the history of the field, constitutes a particularly useful aid for all those working on the history of mathematics. Second, by means of the selected papers and the introductory texts of six well-known modern historians of ancient mathematics that accompany them, the reader can follow the ways the historiography of Greek mathematics developed. Finally, the introductory texts that precede each chapter help the reader to approach critically the selected papers and at the same time to get an idea of the issues being further clarified by the new historiographical approaches. The audience of the book includes scholars from history and philosophy of mathematics and mathematical sciences, scholars from history of science, students in the field of history of mathematics and history of sciences. |
18. A History Of Greek Mathematics Vol II by Thomas Heath Thomas | |
Paperback: 614
Pages
(2010-05-13)
list price: US$45.75 -- used & new: US$25.22 (price subject to change: see help) Asin: 1149403128 Canada | United Kingdom | Germany | France | Japan | |
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19. A History of Greek Mathematics, Volume 2 by Thomas Little Heath | |
Paperback: 604
Pages
(2010-02-04)
list price: US$45.75 -- used & new: US$25.22 (price subject to change: see help) Asin: 1143750128 Canada | United Kingdom | Germany | France | Japan | |
20. Mathematics, History of: Greek Mathematics; Three Problems Unit 3 (Course AM289) by Graham Flegg | |
Paperback: 32
Pages
(1976-05)
Isbn: 0335050069 Canada | United Kingdom | Germany | France | Japan | |
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