Real numbers, generalizations of the reals, and theories of continua:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1994
|
| Series: | Synthese library
242 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXXII, 279 S. |
| ISBN: | 079232689X |
Staff View
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| 245 | 1 | 0 | |a Real numbers, generalizations of the reals, and theories of continua |c ed. by Philip Ehrlich |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1994 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
PHILIP EHRLICH / General Introduction vii
PART I. THE CANTOR DEDEKIND PHILOSOPHY AND
ITS EARLY RECEPTION
E. w. HOBSON / On the Infinite and the Infinitesimal in
Mathematical Analysis (Presidential Address to the London
* Mathematical Society, November 13, 1902) 3
PART II. ALTERNATIVE THEORIES OF REAL NUMBERS
DOUGLAS s. BRIDGES / A Constructive Look at the Real
Number Line 29
j. H. conway / The Surreals and Reals 93
PART III. EXTENSIONS AND GENERALIZATIONS OF THE
ORDERED FIELD OF REALS: THE LATE 19TH CENTURY
GEOMETRICAL MOTIVATION
GORDON FISHER / Veronese s Non Archimedean Linear
Continuum 107
HENRI POINCARE / Review of Hilbert s Foundations of
Geometry (1902): Translated for the American Mathematical
Society by E. V. Huntington (1903) 147
GIUSEPPE VERONESE / On Non Archimedean Geometry.
Invited Address to the 4th International Congress of
Mathematicians, Rome, April 1908. Translated by Mathieu
Marion (with editorial notes by Philip Ehrlich) 169
PART IV. EXTENSIONS AND GENERALIZATIONS OF THE REALS:
SOME 20TH CENTURY DEVELOPMENTS
HOURYA SINACEUR / Calculation, Order and Continuity 191
v
vi TABLE OF CONTENTS
H. JEROME KEISLER / The Hyperreal Line 207
philip ehrlich / All Numbers Great and Small 239
dieter KLAUA / Rational and Real Ordinal Numbers 259
INDEX OF NAMES 277
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| indexdate | 2024-07-09T17:42:47Z |
| institution | BVB |
| isbn | 079232689X |
| language | English |
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| physical | XXXII, 279 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Kluwer |
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| spelling | Real numbers, generalizations of the reals, and theories of continua ed. by Philip Ehrlich Dordrecht [u.a.] Kluwer 1994 XXXII, 279 S. txt rdacontent n rdamedia nc rdacarrier Synthese library 242 Continuum hypothesis Numbers, Real Reelle Zahl (DE-588)4202628-3 gnd rswk-swf Kontinuum (DE-588)4032295-6 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Reelle Zahl (DE-588)4202628-3 s Zahlentheorie (DE-588)4067277-3 s Geschichte (DE-588)4020517-4 s DE-604 Kontinuum (DE-588)4032295-6 s DE-188 Ehrlich, Philip Sonstige oth Synthese library 242 (DE-604)BV000005044 242 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006554378&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Real numbers, generalizations of the reals, and theories of continua Synthese library Continuum hypothesis Numbers, Real Reelle Zahl (DE-588)4202628-3 gnd Kontinuum (DE-588)4032295-6 gnd Zahlentheorie (DE-588)4067277-3 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4202628-3 (DE-588)4032295-6 (DE-588)4067277-3 (DE-588)4020517-4 (DE-588)4143413-4 |
| title | Real numbers, generalizations of the reals, and theories of continua |
| title_auth | Real numbers, generalizations of the reals, and theories of continua |
| title_exact_search | Real numbers, generalizations of the reals, and theories of continua |
| title_full | Real numbers, generalizations of the reals, and theories of continua ed. by Philip Ehrlich |
| title_fullStr | Real numbers, generalizations of the reals, and theories of continua ed. by Philip Ehrlich |
| title_full_unstemmed | Real numbers, generalizations of the reals, and theories of continua ed. by Philip Ehrlich |
| title_short | Real numbers, generalizations of the reals, and theories of continua |
| title_sort | real numbers generalizations of the reals and theories of continua |
| topic | Continuum hypothesis Numbers, Real Reelle Zahl (DE-588)4202628-3 gnd Kontinuum (DE-588)4032295-6 gnd Zahlentheorie (DE-588)4067277-3 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Continuum hypothesis Numbers, Real Reelle Zahl Kontinuum Zahlentheorie Geschichte Aufsatzsammlung |
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