Just Refs

Real number



377 Topics:
  1. 0.999...
  2. Abraham Robinson
  3. Absolute difference
  4. Absolute value
  5. Abuse of notation
  6. Abū Kāmil Shujā ibn Aslam
  7. Accuracy and precision
  8. Addition
  9. Additive identity
  10. Additive inverse
  11. Adolf Hurwitz
  12. Adrien-Marie Legendre
  13. Affinely extended real number system
  14. Aleph number
  15. Alfred Tarski
  16. Algebra of physical space
  17. Algebraic number
  18. Algebraically closed field
  19. Algorithm
  20. Algorithmically random sequence
  21. Almost all
  22. American Scientist
  23. Amos Tversky
  24. Analytic geometry
  25. ArXiv (identifier)
  26. Arbitrary-precision arithmetic
  27. Archimedean field
  28. Archimedean property
  29. Associative
  30. Associative algebra
  31. Augustin Louis Cauchy
  32. Axiom
  33. Axiom of choice
  34. Axiomatic system
  35. Baire space (set theory)
  36. Basis (linear algebra)
  37. Bibcode (identifier)
  38. Bicomplex number
  39. Bijection
  40. Binary number
  41. Binary operation
  42. Bioctonion
  43. Biquaternion
  44. Blackboard bold
  45. Calculator
  46. Calculus
  47. Cantor set
  48. Cantor's diagonal argument
  49. Cantor's first set theory article
  50. Cantor's first uncountability proof
  51. Cantor–Dedekind axiom
  52. Cardinal number
  53. Cardinality
  54. Cardinality of the continuum
  55. Carol Schumacher
  56. Cartesian coordinate system
  57. Cartesian coordinates
  58. Cartesian product
  59. Cauchy
  60. Cauchy sequence
  61. Charles Hermite
  62. Chinese mathematics
  63. Classical mechanics
  64. Clifford algebra
  65. Closed-form expression
  66. Coefficient
  67. Commutative
  68. Compact space
  69. Compiler
  70. Complete lattice
  71. Complete metric space
  72. Complete space
  73. Completeness (topology)
  74. Completeness of the real numbers
  75. Complex conjugate
  76. Complex number
  77. Complex plane
  78. Composite number
  79. Composition algebra
  80. Computable number
  81. Computational science
  82. Computer algebra system
  83. Computer data storage
  84. Computer programming
  85. Computers
  86. Connected space
  87. Constant problem
  88. Constructible number
  89. Construction of the real numbers
  90. Constructive mathematics
  91. Constructivism (mathematics)
  92. Continued fraction
  93. Continuous function
  94. Continuum hypothesis
  95. Contractible
  96. Coordinate space
  97. Countable
  98. Countably infinite
  99. Crelle's Journal
  100. Cube root
  101. Cyclic order
  102. David Hilbert
  103. Decidability of first-order theories of the real numbers
  104. Decimal
  105. Decimal digit
  106. Decimal expansion
  107. Decimal fraction
  108. Decimal representation
  109. Dedekind complete
  110. Dedekind completeness
  111. Dedekind cut
  112. Dedekind-complete
  113. Definable number
  114. Definable real number
  115. Dense set
  116. Derivative
  117. Descartes
  118. Descriptive set theory
  119. Dimension
  120. Displacement (geometry)
  121. Distance
  122. Distributive property
  123. Division (mathematics)
  124. Division algebra
  125. Doi (identifier)
  126. Double-precision floating-point format
  127. Dual number
  128. Dual quaternion
  129. Dual-complex number
  130. Dyadic rational
  131. E (mathematical constant)
  132. Edmund F. Robertson
  133. Edmund Landau
  134. Edward N. Zalta
  135. Edward Nelson
  136. Edwin Hewitt
  137. Eigenvector
  138. Electromagnetism
  139. Elementary arithmetic
  140. Encyclopedia of Mathematics
  141. Equation
  142. Equivalence class
  143. Essentially unique
  144. Euclidean space
  145. Euler
  146. European Mathematical Society
  147. Exponential function
  148. Exponential growth
  149. Extended natural numbers
  150. Extended real number line
  151. Extension field
  152. Ferdinand von Lindemann
  153. Field (mathematics)
  154. Finite decimal
  155. First-order logic
  156. Fixed-point arithmetic
  157. Floating-point arithmetic
  158. Floating-point number
  159. Foundations of Physics
  160. Fraction
  161. Fraction (mathematics)
  162. Fundamental theorem of algebra
  163. Fuzzy number
  164. Gaussian integer
  165. General relativity
  166. General topology
  167. Geometric algebra
  168. Georg Cantor
  169. Greater than
  170. Greater than or equal to
  171. Greek mathematics
  172. Gregory number
  173. Haar measure
  174. Hausdorff dimension
  175. Helaine Selin
  176. Henk J. M. Bos
  177. Hilbert space
  178. Hilbert spaces
  179. History of Egypt
  180. History of mathematics
  181. Homeomorphic
  182. Homomorphism
  183. Hyperbolic quaternion
  184. Hypercomplex number
  185. Hyperreal number
  186. ISBN (identifier)
  187. If and only if
  188. Imaginary number
  189. Indian mathematics
  190. Infinite sequence
  191. Infinite set
  192. Infinitesimal
  193. Infinitesimal calculus
  194. Integer
  195. Internal set theory
  196. Irrational number
  197. Isomorphic
  198. Isomorphism
  199. JSTOR (identifier)
  200. Jean Dieudonné
  201. Johann Heinrich Lambert
  202. John Archibald Wheeler
  203. John Mackintosh Howie
  204. John Stillwell
  205. Joseph Liouville
  206. Largest element
  207. Least element
  208. Least upper bound
  209. Lebesgue measure
  210. Leibniz
  211. Less than
  212. Less than or equal to
  213. Levi-Civita field
  214. Lie algebra
  215. Limit (mathematics)
  216. Limit of a sequence
  217. Line (geometry)
  218. Linear combination
  219. List of types of numbers
  220. Local compactness
  221. Long line (topology)
  222. Löwenheim–Skolem theorem
  223. MacTutor History of Mathematics Archive
  224. Magnitude (mathematics)
  225. Manava
  226. Mathematical analysis
  227. Mathematical induction
  228. Mathematical notation
  229. Mathematics
  230. Mathematics in medieval Islam
  231. Mathematische Annalen
  232. Matrix (mathematics)
  233. Measure (mathematics)
  234. Measurement
  235. Metric space
  236. Middle Ages
  237. Multicomplex number
  238. Multiplication
  239. Multiplicative identity
  240. Multiplicative inverse
  241. Natural number
  242. Negative integer
  243. Negative number
  244. New York Academy of Sciences
  245. Non-Archimedean ordered field
  246. Nonstandard analysis
  247. Nonstandard model
  248. Normal number
  249. Normal operator
  250. Noun
  251. Nth root
  252. Number
  253. Number line
  254. Number system
  255. Numeral base
  256. Numerical analysis
  257. Numerical stability
  258. Octonion
  259. One
  260. One-to-one function
  261. Open interval
  262. Order relation
  263. Order topology
  264. Ordered field
  265. Ordered group
  266. Ordered monoid
  267. Ordered ring
  268. Ordinal number
  269. Oxford English Dictionary
  270. P-adic number
  271. Paris
  272. Patrick Suppes
  273. Paul Cohen (mathematician)
  274. Paul Gordan
  275. Peano axioms
  276. Period (algebraic geometry)
  277. Peter Koellner
  278. Pi
  279. Plane-based geometric algebra
  280. Point (geometry)
  281. Polynomial
  282. Positive real numbers
  283. Positive-definite
  284. Power set
  285. Prime number
  286. Profinite integer
  287. Pythagoras
  288. Quadratic equation
  289. Quantity
  290. Quantum mechanics
  291. Quaternion
  292. R. Duncan Luce
  293. Rational number
  294. Rational zeta series
  295. Real analysis
  296. Real closed field
  297. Real coordinate space
  298. Real function
  299. Real line
  300. Real projective line
  301. René Descartes
  302. Repeating decimal
  303. Reverse mathematics
  304. Root of a polynomial
  305. S2CID (identifier)
  306. Saunders Mac Lane
  307. Scientific notation
  308. Sedenion
  309. Self-adjoint operator
  310. Separable space
  311. Separation relation
  312. Sequence
  313. Set (mathematics)
  314. Set theory
  315. Shulba Sutras
  316. Significant figures
  317. Simon Stevin
  318. Simply connected
  319. Smooth manifolds
  320. Solenoid (mathematics)
  321. Solomon Feferman
  322. Spacetime algebra
  323. Split-biquaternion
  324. Split-complex number
  325. Split-octonion
  326. Split-quaternion
  327. Springer Science+Business Media
  328. Springer-Verlag
  329. Square root
  330. Square root of 2
  331. Standard model
  332. Subfield (mathematics)
  333. Subset
  334. Subtraction
  335. Successor function
  336. Supernatural number
  337. Superreal number
  338. Supremum
  339. Surreal number
  340. Symbolic computation
  341. Tarski's axiomatization of the reals
  342. Temperature
  343. Theorem
  344. Time
  345. Topological group
  346. Topological space
  347. Topology
  348. Total order
  349. Transcendental number
  350. Transcendental numbers
  351. Tuple
  352. Type conversion
  353. Ubiratan D'Ambrosio
  354. Umberto Bottazzini
  355. Uncountable
  356. Uncountable set
  357. Undecidable problem
  358. Uniform space
  359. Unit complex number
  360. Unit interval
  361. Univariate polynomial
  362. University of St Andrews
  363. Up to
  364. Upper bound
  365. V=L
  366. Vector space
  367. Vedic civilization
  368. Vitali set
  369. Wayback Machine
  370. Well-order
  371. Well-ordering theorem
  372. Yiannis N. Moschovakis
  373. Zermelo–Fraenkel
  374. Zermelo–Fraenkel set theory
  375. Zero
  376. Zero of a function
  377. École Normale Supérieure
52 References:
  1. http://culturemath.ens.fr/maths/pdf/logique/reels.pdf
  2. http://uli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007538747105171
  3. https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph125164&CON_LNG=ENG
  4. https://api.semanticscholar.org/CorpusID:118954904
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  8. https://archive.org/details/chapterzerofunda0000schu/page/114/
  9. https://archive.org/details/descriptivesetth0000mosc/
  10. https://archive.org/details/descriptivesetth0000mosc/page/274/
  11. https://archive.org/details/exploringrealnum0000stev
  12. https://archive.org/details/foundationsofana0000land_o4f9
  13. https://archive.org/details/foundationsofmea00emen
  14. https://archive.org/details/foundationsofmod0000dieu/
  15. https://archive.org/details/grundlagenderana0000edmu/
  16. https://archive.org/details/highercalculushi0000bott/
  17. https://archive.org/details/historyofpipi0000beck_g8t1/
  18. https://archive.org/details/historyofpipi0000beck_g8t1/page/170/
  19. https://archive.org/details/mathematicsformf0000macl/page/92/
  20. https://archive.org/details/numbersystemsfou0000fefe
  21. https://arxiv.org/abs/1611.09087
  22. https://books.google.com/books?id=QwwcmweJCDQC&pg=PA192
  23. https://books.google.com/books?id=aYTYBQAAQBAJ&pg=PA127
  24. https://books.google.com/books?id=vmlcc2IH9dEC
  25. https://catalogue.bnf.fr/ark:/12148/cb11977586x
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  31. https://doi.org/10.1007%2Fbf01443647
  32. https://doi.org/10.1007%2Fs10701-017-0078-3
  33. https://doi.org/10.1007%2Fs11786-007-0001-y
  34. https://doi.org/10.1111%2Fj.1749-6632.1987.tb37206.x
  35. https://id.loc.gov/authorities/sh85093221
  36. https://id.ndl.go.jp/auth/ndlna/00574870
  37. https://math.mit.edu/classes/18.095/2015IAP/lecture1/padic.pdf
  38. https://mathshistory.st-andrews.ac.uk/HistTopics/Arabic_mathematics.html
  39. https://mathworld.wolfram.com/RealNumber.html
  40. https://people.maths.ox.ac.uk/trefethen/trefethen_functions.pdf
  41. https://plato.stanford.edu/archives/spr2019/entries/continuum-hypothesis/
  42. https://ui.adsabs.harvard.edu/abs/1986AmSci..74..366W
  43. https://ui.adsabs.harvard.edu/abs/1987NYASA.500..253M
  44. https://ui.adsabs.harvard.edu/abs/2017FoPh...47.1031B
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  46. https://www.britannica.com/science/real-number
  47. https://www.encyclopediaofmath.org/index.php?title=Real_number
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  52. https://zenodo.org/record/1428218

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