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Axiom of Choice (Lecture Notes in Mathematics, Vol. 1876) (Lecture Notes in Math
US $50,29
CircaEUR 42,83
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Libro che è già stato letto ma è in buone condizioni. Mostra piccolissimi danni alla copertina incluse alcune rigature, ma nessun foro o strappo. È possibile che la sovraccoperta per le copertine rigide non sia inclusa. La rilegatura presenta minimi segni di usura. La maggior parte delle pagine non è danneggiata e mostra una quantità minima di piegature o strappi, sottolineature di testo a matita, nessuna evidenziazione di testo né scritte ai margini. Non ci sono pagine mancanti. Per maggiori dettagli e la descrizione di eventuali imperfezioni, consulta l'inserzione del venditore.
- Compralo SubitoAxiom of Choice (Lecture Notes in Mathematics, Vol. 1876) (Lecture Notes in Math
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Oggetto che si trova a: Carrollton, Texas, Stati Uniti
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Numero oggetto eBay:335890236344
Specifiche dell'oggetto
- Condizione
- ISBN
- 9783540309895
Informazioni su questo prodotto
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540309896
ISBN-13
9783540309895
eBay Product ID (ePID)
52636858
Product Key Features
Number of Pages
Xiv, 198 Pages
Language
English
Publication Name
Axiom of Choice
Publication Year
2006
Subject
Algebra / Abstract, Functional Analysis, General, Logic
Type
Textbook
Subject Area
Mathematics
Series
Lecture Notes in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
24.3 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2006-921740
Dewey Edition
22
Reviews
From the reviews:"The book is an excellent introduction to the Axiom of Choice, its consequences and even its possible replacements. Although the author claims not to have written a textbook, compendium or history, the book might be used as any of these three. … there are many diagrams throughout the text and in the appendix detailing the relationships between the Axiom of Choice and its consequences. It certainly fulfills its stated purpose of whetting the reader's appetite for studying the ZF universe." (Paul E. Howard, Mathematical Reviews, Issue 2007 f), From the reviews: "The book is an excellent introduction to the Axiom of Choice, its consequences and even its possible replacements. Although the author claims not to have written a textbook, compendium or history, the book might be used as any of these three. … there are many diagrams throughout the text and in the appendix detailing the relationships between the Axiom of Choice and its consequences. It certainly fulfills its stated purpose of whetting the reader's appetite for studying the ZF universe." (Paul E. Howard, Mathematical Reviews, Issue 2007 f), From the reviews: "The book is an excellent introduction to the Axiom of Choice, its consequences and even its possible replacements. Although the author claims not to have written a textbook, compendium or history, the book might be used as any of these three. ... there are many diagrams throughout the text and in the appendix detailing the relationships between the Axiom of Choice and its consequences. It certainly fulfills its stated purpose of whetting the reader's appetite for studying the ZF universe." (Paul E. Howard, Mathematical Reviews, Issue 2007 f)
Series Volume Number
1876
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
511.3
Table Of Content
Origins: Hilbert's First Problem.- Choice Principles: Some Equivalents to the Axiom of Choice, Some Concepts Related to the Axiom of Choice.- Elementary Observations: Hidden Choice, Unnecessary Choice, Concepts Split Up: Compactness.- Disasters without Choice: Finiteness, Disasters in Cardinal Arithmetic, Disasters in Order Theory, Disasters in Algebra I: Vector Spaces, Disasters in Algebra II: Categories, Disasters in Elementary Analysis: The Reals and Continuity, Disasters in Topology I: Countable Sums, Disasters in Topology II: Products (The Tychonoff and the Cech-Stone Theorem), Disasters in Topology III: Function Spaces (The Ascoli Theorem), Disasters in Topology IV: The Baire Category Theorem, Disasters in Graph Theory: Coloring Problems.- Disasters with Choice: Disasters in Elementary Analysis, Disasters in Geometry: Paradoxical Decompositions.- Disasters either way: Disasters in Game Theory.- Beauty without Choice: Lindelöf = Compact, Measurability (The Axiom of Determinateness).
Synopsis
AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory., AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: - Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC). - Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games). - Some beautiful mathematical theorems hold only if AC is replaced by some alternative axiom, contradicting AC (e.g., by AD, the axiom of determinateness). Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.
LC Classification Number
QA8.9-10.3
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- e***v (137)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoOverall, it went well. Good communication. I wanted the book to be shipped in a box, because the value and scarcity of the volume I purchased deserved it, however, the company is too large and I was informed the book would be shipped in a plastic mailer. Somehow it didn’t arrive very damaged, a little bump, but for the price I can’t complain. Over all I am satisfied, but if you’re a book collector, as I am, you may want to find another seller.Aurora: The Dayspring, or Dawning of the Day in the East, Boehme, Jacob, 9781558 (N° 236039083546)
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Half-Price-Books-Inc
99,3% di Feedback positivi•195 mila oggetti venduti
Registrato come venditore professionale
Feedback sul venditore (41.440)
- 1***j (98)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoGreat experience. Seller responded promptly with quick shipping. The item was well packaged. The seller was great. Prices and descriptions of the merchandise were accurate.
- e***v (137)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoOverall, it went well. Good communication. I wanted the book to be shipped in a box, because the value and scarcity of the volume I purchased deserved it, however, the company is too large and I was informed the book would be shipped in a plastic mailer. Somehow it didn’t arrive very damaged, a little bump, but for the price I can’t complain. Over all I am satisfied, but if you’re a book collector, as I am, you may want to find another seller.Aurora: The Dayspring, or Dawning of the Day in the East, Boehme, Jacob, 9781558 (N° 236039083546)
- a***z (882)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificatoOutstanding transaction: Product as described and shown on eBay; great communication; secure packaging; prompt shipping. Highly recommend Half-Price-books-Inc and products to all eBay buyers!