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A History of Greek Mathematics, Volume I: From Thales to Euclid (Dover Books on Mathematics) (Englisch) Taschenbuch – Mai 1981


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Produktinformation

  • Taschenbuch: 2 Seiten
  • Verlag: Dover Pubn Inc; Auflage: Revised. (Mai 1981)
  • Sprache: Englisch
  • ISBN-10: 0486240738
  • ISBN-13: 978-0486240732
  • Größe und/oder Gewicht: 21 x 14,4 x 2,3 cm
  • Durchschnittliche Kundenbewertung: 5.0 von 5 Sternen  Alle Rezensionen anzeigen (1 Kundenrezension)
  • Amazon Bestseller-Rang: Nr. 80.141 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)

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Format: Taschenbuch
Der britische Historiker Sir Thomas Heath hat mit diesem Buch ein Standardwerk für jeden geschaffen, der sich mit der Geschichte der Mathematik oder mit Mathematik im Allgemeinen, beschäftigt. Er beschreibt in diesem Buch auf höchst eindrucksvolle Art und Weise die großen griechischen Mathematiker von Thales bis Euclid, ihre genialen Errungenschaften und die sozialen Begleitumstände. Dabei schafft er es, auch komplizierte Berechnungen und Gedankengänge leicht verständlich zu erklären. Kein Wunder dass selbst moderne Wissenschaftsautoren wie Simon Singh auf dieses Buch zurückgreifen.
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Amazon.com: 6 Rezensionen
36 von 38 Kunden fanden die folgende Rezension hilfreich
Academically great 1. November 2000
Von Paris Chavez - Veröffentlicht auf Amazon.com
Format: Taschenbuch
This is not a terribly exciting book to read, but it is a superior reference for looking up Greek mathematicians. It is apparent that the author is partial to Euclid, as his section is close to a third of the book, (see the author's version of the Elements)but being a Euclid fan myself I can forgive this easily. Even the most obscure mathematicians are covered in good detail along with what they proved, as well as how they proved it. For those interested in historical mathematics, this book is invaluable. Note: This is a two volume set. I thought it was only one and I only purchased the second. Be sure to get both.
6 von 6 Kunden fanden die folgende Rezension hilfreich
Really serious history for serious mathematicians 20. November 2012
Von Alan U. Kennington - Veröffentlicht auf Amazon.com
Format: Taschenbuch
I have to give this book 5 stars because it is such an important work. Many other mathematics history books are derived very substantially from this work (i.e. from both volumes I and II). The fact that Heath wrote more than 100 years ago does not in any way imply that his history is less worthy or less scholarly than modern accounts. In fact, many modern accounts of ancient Greek mathematics are no more than diluted versions of the Heath books. One may as well read the source material upon which most modern histories of Greek mathematics are based.

My constant impression when I read this book (both volumes in their entirety) was that we must be enormously grateful to Thomas Little Heath for his total devotion to the translation and interpretation of the surviving manuscripts, and for helping to bring them to light. (He is perhaps best known for his Archimedes translations and interpretations.) Heath had a thorough familiarity with the full range of manuscripts at his time, and the range has not increased inordinately since then. He makes clear that the majority of our sources for ancient Greek mathematics actually date to the first millennium AD.

The majority of this book is about geometry, since other mathematics topics in ancient Greek times were largely seen through the perspective of geometry. Even if you know a lot about modern advanced geometry, and even if you learned Euclidean geometry in the traditional fashion at high school (as I did), the proofs of theorems in this book are very hard work. The Greek genius for mathematics is breathtaking. Heath shows clearly through his explanations of Greek mathematical thinking, and their proofs of theorems, that they were not intellectually inferior to modern mathematicians, (These comments apply even more to volume II, which contains much deeper mathematics than volume I.)

Time after time, I found myself surprised that the ancient Greeks discovered or invented concepts which I had thought were first developed after 1600 AD. Even within the period 450 BC to 150 BC, I was surprised by how much Greek mathematics was known centuries earlier than I had thought. The account of Euclid's Elements, in particular, makes clear that the theories of proportion and conic sections were already very advanced well before the time of Apollonius.

This book assumes that the reader is familiar with the Euclidean geometry which was standard in schools in Heath's time. The presentation of geometrical proofs often skips substantial steps which the modern mathematician would not typically be familiar with.

It is probably best to read this book with a pen and paper to work out the proofs and constructions. Unlike many other Greek mathematics history books, this one is mathematically quite demanding. The reader is not spared the arduous details of the ancient Greek achievements in mathematical thinking. But if Heath had omitted those arduous details, one would not appreciate how awesome their abilities were.

PS. 2013-1-13. I forgot to mention that the index for Volume 1 is in Volume 2. In other words, Volume 1 has no index (unless you also buy Volume 2).
6 von 7 Kunden fanden die folgende Rezension hilfreich
a real technical history of mathematics 7. November 2012
Von flashgordon - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
Or, at least, Sir Thomas Heath's "A History of Greek Mathematics(in two volumes; i just finished volume 1)" is a good place to start a real technical history of mathematics.

Recently, William Duham and John Stillwell, have tried to make histories of mathematics with the books stuffed with the actual mathematics; the only problem with those books, is they cast the ancient mathematics in terms of modern mathematics. I don't totally disagree with this approach; i absolutely agree that we should see the connections between ancient and modern mathematics; but, those books can only show so much of the ancient mathematics. Sir Thomas Heath shows all Greek mathematics and Greek mathematics is a good place to start; although, it must be said, that mathematics started with the Greeks.

Certainly, mathematics started tens of thousands of years before with much the same cultures that made the European cave paintings. Archaeologists have unearthed tally bones; animal bones(like coyotes) with number markings. The next great mathematical ages were perhaps with 1) those who made Stonehenge, the Pyramids, and 2) the Mesopotamians in general; the Summarians and the Babylonians. A thousand years before the great Greek rational culture effort, the Babylonians discovered the Pythagorean theorem(but did not prove it), used the quadratic formula(once again, did not prove it; has anyone seen an actual proof of the quadratic formula? Seems to me the geometric algebra proofs in Euclid's Elements are the only real proofs of the quadratic formula!), infinit series(of perhaps primitive state), even systems of equations! Sir Thomas Heath's accounts of Greek mathematics came before the decoding of all this; Van Der Waerden(student of Emmy Noether) wrote an updated account of the beginnings of matheamtics "Science Awakening" which updates Sir Thomas Heath's account taking account that the Greeks clearly didn't work in a vacuum. One could say that the Greeks took the Babylonian mathematics and proved them deductively; they then went far beyond in trigonometry and conics - also the three delian problems, number theory; that's where mathematics stalled due to the Greeks geometrizing algebra and hence being limited to three dimensions, the calculus of Archimedes(really Eudoxus) was severelly limited due to this geomtric algebra. But, that's another story well beyond the purposes of these books.

But, what wonders this geometric algebra! How can any real intellectual not find the scholarship of Sir Thomas Heath and the findings of Greek mathematics boring? I'd hate to get into this much further; but, I'm more and more disillusioned about the state of today's idea of what it means to be intellectual.

Sir Thomas Heath shows the real history of mathematics in full technical glory as I've already said beyond William Dunhem and John Stillwell. Those are good books in their own right; but, Sir Thomas Heath also shows the modern algebraic formulations of many of the great mathematics and many things not shown by those contemporary authors. People like to make books that show hints of modern mathematics like Ian Stuart and a hundred years ago Rouse Ball; seems to me that reading Sir Thomas Heath's "A History of Greek Mathematics"(with his Euclid's Elements in handy) is the best mathematics puzzle book that can introduce people to 'real' mathematics; one could read it before one knows how to do the modern algebraic formulations; and then, when you learn enough algebra and a first semester of calculus, one can go back and rework those modern accounts of Greek mathematics. Sir Thomas Heath's account serves as the true starting point for those who want to become mathematicians!

I'd like to further note that I read Van Der Waerden's "Algebra from Al Kowarizmi to Emmy Noether"; in it, he mentions that Vieta(a very underrated mathematician; read E.T. Bell's account of him in his "Development of Mathematics"; i do believe its the chapter titled transition to modern mathematics; and then Van Der Waerden's account in the book just mentioned!) solved some problems the Greeks diddn't finish - namely that of the relation between trisection and the solution of the cubic equation; Sir Thomas Heath shows the solution; although, he leaves some gaps of the reasoning; he suggest that Newton cut his teeth by studying Vieta, and if you want to see the gaps left unsaid(or couldn't figure it out youself; i couldn't; but, I got the rest), look up the collective mathematical papers of Isaac Newton volume one I do believe(there's eight volumes!); this is just one example of the great scholarship that goes into Sir Thomas Heath's "A History of Greek Mathematics." Again, how any real intellectual could get bored with this . . . is out of his/her collective mind!
2 von 3 Kunden fanden die folgende Rezension hilfreich
great service and great book 27. Januar 2012
Von 12345ash12345 - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
this book is a great reference for math users. the customer service that i received while trying to get this book was very respectable. the book came in better condition than i thought it would and it came in time just before i needed to use it, giving me time to look over the book before i needed to use it for class. highly recommend it.
Five Stars 1. Dezember 2014
Von liv berge - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
good and interesting!
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