From: BD on
William Elliot <marsh(a)rdrop.remove.com> wrote:
>On Tue, 15 Dec 2009, BD wrote:
>> William Elliot <marsh(a)rdrop.remove.com> writes:
>>>> Did it really never occur to you to follow said link?
>>> No, I don't Google.
>>
>> You don't have to Google anything, simply follow the link.
>>
>> The book is also on Amazon. I can access pp. 8-9 in both places
>> from various IP addresses, so any problem is on your end.
>> http://www.amazon.com/Algebraic-Ergebnisse-Mathematik-Grenzgebiete-Mathematics/dp/3540646639/
>>
>>> It's of no value.
>>
>> So that explains why you ask so many basic questions that could easily
>> be answered by online book/paper searches, e.g. Google Books/Scholar.
>> Why do you choose to ignore such valuable resources? In this case
>> the link I gave is to the precise theorem that you seek. You could
>> have easily found that yourself using obvious searches.
>
> I showed you exactly what appears on my screen when I open the link.
> Apparently you chose to ignored that, even clipping it from you reply.

No, I didn't ignore it. I gave you an alternate link to Amazon.
I find it hard to believe that you cannot access the free ebook
fragments at both Amazon and Google Books. It seems high time
that you learn some rudimentary web browsing skills.

I know you have some very nonstandard views of worthiness, e.g. your
many prior off-topic posts here that consisted entirely of complaints
about the syntax of posts - that they did not include enough whitespace.
But this complaint really takes the cake. I cannot even begin to fathom
how anyone in their right mind could justify deeming such important
research tools to be "of no value". If you are sincerely interested
in learning mathematics then why willfully deny yourself access to
major online repositories of mathematical literature?
From: William Elliot on
> No, I didn't ignore it. I gave you an alternate link to Amazon.
> I find it hard to believe that you cannot access the free ebook
> fragments at both Amazon and Google Books. It seems high time
> that you learn some rudimentary web browsing skills.

Here's what I get with the other link which is also of no use
for lack of mathematical material. Where do you see the math?

--
Amazon.com: Real Algebraic Geometry (Ergebnisse der Mathematik und
ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
(9783540646631): Jacek Bochnak, Michel Coste, Marie-Francoise Roy: Books

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~ [36]Jacek Bochnak (Author), [37]Michel Coste (Author),
[38]Marie-Francoise Roy (Author) "Abstract. The first three sections
of this chapter briefly review Artin-Schreier theory: ordered fields,
real fields, real closed fields and the real closure of
an..." ([39]more)
Key Phrases: [40]affine real algebraic variety, [41]real prime ideal,
[42]prime cone, [43]Henselian Properties, [44]Hilbert's Theorem,
[45]Product of Spheres ([46]more...)
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[56]Kindle Edition, November 30, 1992 $47.20 -- --

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Editorial Reviews

Product Description

This book is a systematic treatment of real algebraic geometry, a
subject that has strong interrelation with other areas of mathematics:
singularity theory, differential topology, quadratic forms,
commutative algebra, model theory, complexity theory etc. The careful
and clearly written account covers both basic concepts and up-to-date
research topics. It may be used as text for a graduate course. The
present edition is a substantially revised and expanded English
version of the book "G'ometrie alg'brique r'elle" originally published
in French, in 1987, as Volume 12 of ERGEBNISSE. Since the publication
of the French version the theory has made advances in several
directions. Many of these are included in this English version. Thus
the English book may be regarded as a completely new treatment of the
subject.

Language Notes

Text: English (translation)
Original Language: French
_________________________________________________________________

Product Details

* Hardcover: 430 pages
* Publisher: Springer; 1 edition (September 18, 1998)
* Language: English
* ISBN-10: 3540646639
* ISBN-13: 978-3540646631
* Product Dimensions: 9.4 x 6.2 x 1.2 inches
* Shipping Weight: 1.7 pounds ([86]View shipping rates and policies)
* Average Customer Review: No customer reviews yet. [87]Be the
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* Amazon.com Sales Rank: #459,221 in Books (See [88]Bestsellers in
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#58 in [90]Books > [91]Professional & Technical > [92]Professional
Science > [93]Mathematics > [94]Geometry & Topology > [95]Algebraic
Geometry
#69 in [96]Books > [97]Science > [98]Mathematics > [99]Geometry &
Topology > [100]Algebraic Geometry
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[103]J. Bochnak
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[105]Front Cover | [106]Table of Contents | [107]First Pages |
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First Sentence:
Abstract. The first three sections of this chapter briefly review
Artin-Schreier theory: ordered fields, real fields, real closed fields
and the real closure of an ordered field. [112]Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): ([113]learn
more)
[114]affine real algebraic variety, [115]real prime ideal,
[116]prime cone, [117]nonsingular algebraic subset,
[118]stratifying family, [119]global algebraic sections,
[120]affine real algebraic varieties, [121]biregular isomorphism,
[122]nonsingular algebraic set, [123]local conic structure,
[124]constructible topology, [125]bilinear space,
[126]real closed extension, [127]real valuation ring,
[128]arbitrary real closed field, [129]topological vector bundle,
[130]real algebraic structure, [131]real nullstellensatz,
[132]irreducible algebraic set, [133]open hypercube,
[134]real algebraic sets, [135]tilde operation,
[136]nonsingular bilinear forms, [137]algebraic vector bundle,
[138]algebraic line bundle
Key Phrases - Capitalized Phrases (CAPs): ([139]learn more)
[140]Henselian Properties, [141]Hilbert's Theorem,
[142]Product of Spheres, [143]Projection of Semi-algebraic Sets,
[144]Some Analysis
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Citations ([154]learn more)
This book cites 2 books:
* [155]New York (Land of Liberty) by Ellen Sturm in [156]Back Matter
(1), [157]Back Matter (2), and [158]Back Matter (3)
* [159]Algorithms in Real Algebraic Geometry by Denis S. Arnon in
[160]Back Matter


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* [161]Computer Algebra in Scientific Computing: 8th International
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Issues) by Victor G. Ganzha on [162]5 pages
* [163]Computers, Rigidity, and Moduli: The Large-Scale Fractal
Geometry of Riemannian Moduli Space (Porter Lectures) by Shmuel
Weinberger on [164]page 35, and [165]page 92
* [166]Positive Polynomials: From Hilbert's 17th Problem to Real
Algebra (Springer Monographs in Mathematics) by Alexander Prestel
in [167]Back Matter (1), and [168]Back Matter (2)
* [169]Tame Topology and O-minimal Structures (London Mathematical
Society Lecture Note Series) by L. P. D. van den Dries in
[170]Back Matter (1), and [171]Back Matter (2)
* [172]Real Analytic and Algebraic Singularities (Research Notes in
Mathematics Series) by Toshisumi Fukui on [173]page 28, and
[174]page 61

[orange-arrow._V42752349_.gif] [175]See all 69 books citing this book
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[177]Model Theory: An Introduction
[178]Model Theory by D. Marker
Discusses:
* [179]real prime ideal
* [180]real closed extension
* [181]real nullstellensatz

[182]Several Complex Variables with Connections to Algebraic Geometry
and Lie Groups (Graduate Studies in Mathematics, V. 46)
[183]Several Complex Variables with Connections to Algebraic Geometry
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[187]Algebraic K-Theory and Its Applications (Graduate Texts in
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[188]Algebraic K-Theory and Its Applications by Jonathan Rosenberg
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[192]Sheaves in Topology (Universitext)
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[202]Algorithms in Real Algebraic Geometry (Algorithms and Computation
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[203]Algorithms in Real Algebraic Geometry by Saugata Basu
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* [205]local conic structure
* [206]real closed extension



[207]Model Theory: An Introduction
[208]Model Theory by D. Marker
Discusses:
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* [210]real closed extension
* [211]real nullstellensatz

[212]Several Complex Variables with Connections to Algebraic Geometry
and Lie Groups (Graduate Studies in Mathematics, V. 46)
[213]Several Complex Variables with Connections to Algebraic Geometry
and Lie Groups by Joseph L. Taylor
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* [216]algebraic line bundle

[217]Algebraic K-Theory and Its Applications (Graduate Texts in
Mathematics) (v. 147)
[218]Algebraic K-Theory and Its Applications by Jonathan Rosenberg
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* [219]global algebraic sections
* [220]topological vector bundle
* [221]algebraic vector bundle

[222]Sheaves in Topology (Universitext)
[223]Sheaves in Topology by Alexandru Dimca
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* [225]real algebraic sets
* [226]algebraic vector bundle

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----
From: BD on
William Elliot <marsh(a)rdrop.remove.com> writes:
>>
>> No, I didn't ignore it. I gave you an alternate link to Amazon.
>> I find it hard to believe that you cannot access the free ebook
>> fragments at both Amazon and Google Books. It seems high time
>> that you learn some rudimentary web browsing skills.
>
> Here's what I get with the other link which is also of no use
> for lack of mathematical material. Where do you see the math?
>
> --
> Amazon.com: Real Algebraic Geometry (Ergebnisse der Mathematik und
> ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in
> Mathematics) (9783540646631): Jacek Bochnak, Michel Coste,
> Marie-Francoise Roy: Books
>
> [1]amazon.com
> Hello. [2]Sign in to get personalized recommendations. New customer?
> [3]Start here.
>
> * [4]FREE 2-Day Shipping - See details
> * No minimum purchase
>
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> Lists | [8]Gift Cards [9]Your Account | [10]Help
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> Search [Books...............]
> __________________________________________________
> [...]

It appears that you are using a text-only web browser, possibly Lynx.
Of course anyone using such a browser knows quite well that they won't
be able to access a large portion of web content, esp. non-text content
such as images, e.g. the book page images that I linked to above.
Moreover, Lynx may not support all the necessary protocols required
to access certain content (I recall that it couldn't download certain
math papers archived at projecteuclid). Thus your browser choice may
be severely limiting your access to online mathematical content.
From: William Elliot on
On Thu, 17 Dec 2009, BD wrote:
> William Elliot <marsh(a)rdrop.remove.com> writes:

> It appears that you are using a text-only web browser, possibly Lynx.
> Of course anyone using such a browser knows quite well that they won't
> be able to access a large portion of web content, esp. non-text content
> such as images, e.g. the book page images that I linked to above.

That's what I've been telling you, the reference is of no use.
Marc was helpful in simplifying the proof I constructed from
the lead you gave.

> Moreover, Lynx may not support all the necessary protocols required
> to access certain content (I recall that it couldn't download certain
> math papers archived at projecteuclid). Thus your browser choice may
> be severely limiting your access to online mathematical content.

Unlike modern computers, it's stable and secure.

From: BD on
William Elliot <marsh(a)rdrop.remove.com> wrote:
> On Thu, 17 Dec 2009, BD wrote:
>> William Elliot <marsh(a)rdrop.remove.com> writes:
>
>> It appears that you are using a text-only web browser, possibly Lynx.
>> Of course anyone using such a browser knows quite well that they won't
>> be able to access a large portion of web content, esp. non-text content
>> such as images, e.g. the book page images that I linked to above.
>
> That's what I've been telling you, the reference is of no use.

You didn't say till now that you were unable to access it due to
your explicit choice to use only a crippled text-only browser.
Omitting an important piece of info like that is quite disingenuous.
The next time you waste my time like that you will be killfiled.

>> Moreover, Lynx may not support all the necessary protocols required
>> to access certain content (I recall that it couldn't download certain
>> math papers archived at projecteuclid). Thus your browser choice may
>> be severely limiting your access to online mathematical content.
>
> Unlike modern computers, it's stable and secure.

What good is "stable and secure" if it denies you access to most pages?
As is often the case, your logic is mind boggling.