The Foundations of Geometry David Hilbert 9781519622020 Books
Download As PDF : The Foundations of Geometry David Hilbert 9781519622020 Books
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles the axioms of geometry. The choice of axioms and their relations to one another is a problem which, has been discussed since the time of Euclid. This problem is tantamount to the logical analysis of our intuition of space. Hilbert attempts to choose for geometry a simple and complete set of independent axioms and to deduce from these the most important geometrical theorems so as to bring out as clearly as possible the significance of the different groups of axioms and the scope of the conclusions to be derived from the individual axioms.
The Foundations of Geometry David Hilbert 9781519622020 Books
The FORGOTTEN BOOKS edition of Hilbert's Foundations of Geometry isn't Hilbert's Geometry. Notice the number of pages (which I didn't when ordering it). This publication contains ONLY the diagrams in large format (with a very few absent) from the text of Hilbert's Geometry. There is no title page or author listed, but this is in fact what the content is from. It is clearly a scan from an old book, so there must be some historical context for it. Maybe someone can clarify the mystery. I give it 5 stars because these comments will probably show up among the reviews of Hilbert's full text and I don't want to skew the star rating of the book, but this particular reprint I don't find of any actual value, except that it's from Hilbert and there may be some interesting reason why it occurs as an independent publication.Along with this reprint, I also ordered the FB Classic Reprint of Elements of Geometry and Trigonometry by Charles Davies. These two books are the first reprints I've purchased from any of the reprint publishers selling on amazon. For more on the quality of Forgotten Books reprints, see my review of Davies' book. The mysterious Hilbert-diagrams text they sell under the title of Hilbert's Foundations of Geometry is, I suspect, an anomaly. Besides, their honest page-count should raise questions about the content. Now you know what that content is.
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The Foundations of Geometry David Hilbert 9781519622020 Books Reviews
Came super fast and exactly what I wanted
Everything is fine with this book, although it would be better if it was hard cover. But everything is explained in a (usually) understandable manner. There are a few tricky ones, but Venema covers everything well.
We got this for my daughter to use to do research for a paper. The print on the screen was very small and could not be adjusted. This made it very hard to read.
This is a book for a person who wants to know the real proofs of the things they are teaching in high school geometry. You could teach yourself many of these proofs and it also offers great references which one could find in case of any confusion.
Very clearly written textbook.
Hilbert's formal approach of Euclidean Geometry is very instructive and, contrary to what may be expected from such a monumental figure, quite easy to follow.
My preferred sections Desargues's theorem ; Pascal's theorem ; Algebra of segments.
When I read about the intended audience of this book, I thought that maybe I had made a mistake. Then again, this book is about fifty years old. So maybe the intended audience was a lot smarter back then.
This book has proofs that are more or less easy to follow. The proofs are very precise, maybe overly so. On the whole, the book is a good introduction to geometry.
What this book is not is a complete book on Geometry. The section on Euclidean geometry stops at Circles, for example.
The FORGOTTEN BOOKS edition of Hilbert's Foundations of Geometry isn't Hilbert's Geometry. Notice the number of pages (which I didn't when ordering it). This publication contains ONLY the diagrams in large format (with a very few absent) from the text of Hilbert's Geometry. There is no title page or author listed, but this is in fact what the content is from. It is clearly a scan from an old book, so there must be some historical context for it. Maybe someone can clarify the mystery. I give it 5 stars because these comments will probably show up among the reviews of Hilbert's full text and I don't want to skew the star rating of the book, but this particular reprint I don't find of any actual value, except that it's from Hilbert and there may be some interesting reason why it occurs as an independent publication.
Along with this reprint, I also ordered the FB Classic Reprint of Elements of Geometry and Trigonometry by Charles Davies. These two books are the first reprints I've purchased from any of the reprint publishers selling on . For more on the quality of Forgotten Books reprints, see my review of Davies' book. The mysterious Hilbert-diagrams text they sell under the title of Hilbert's Foundations of Geometry is, I suspect, an anomaly. Besides, their honest page-count should raise questions about the content. Now you know what that content is.
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