000			04550cam a22006495i 4500
001			on1204140285
003			OCoLC
005			20220517104451.0
006			m d
007			cr |||||||||||
008			201028s2020 enka ob 001 0 eng
010			_a 2019394523
040			_aDLC _beng _erda _epn _cDLC _dEBLCP _dOCLCO _dYDX _dOCLCF _dUKMGB _dN$T
015			_aGBC0J0994 _2bnb
016	7		_a019993286 _2Uk
019			_a1202302552
020			_a1800640978
020			_a9781800640979 _q(electronic bk.)
020			_z9781800640962 _q(hbk.)
020			_z9781800640955 _q(pbk.)
035			_a2660315 _b(N$T)
035			_a(OCoLC)1204140285 _z(OCoLC)1202302552
042			_apcc
050	0	0	_aQA21
082	0	4	_a510.9 _223
049			_aMAIN
100	1		_aKopp, P. E., _d1944- _eauthor. _935670
245	1	0	_aMaking up Numbers : _ba history of invention in mathematics / _cEkkehard Kopp.
264		1	_aCambridge, UK : _bOpenBook Publishers, _c2020.
300			_a1 online resource (ix, 267 pages) : _billustrations (some color)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references (pages 259-260) and index.
588			_aDescription based on online resource; title from PDF title page (Open Book Publishers website; viewed on 2020-10-28).
520			_aMaking up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research.
505	0		_aIntro -- Preface -- Prologue: Naming Numbers -- 1. Naming large numbers -- 2. Very large numbers -- 3. Archimedes' Sand-Reckoner -- 4. A long history -- Chapter 1. Arithmetic in Antiquity -- Summary -- 1. Babylon: sexagesimals, quadratic equations -- 2. Pythagoras: all is number -- 3. Incommensurables -- 4. Diophantus of Alexandria -- Chapter 2. Writing and Solving Equations -- Summary -- 1. The Hindu-Arabic number system -- 2. Reception in mediaeval Europe -- 3. Solving equations: cubics and beyond -- Chapter 3. Construction and Calculation -- Summary -- 1. Constructions in Greek geometry
505	8		_a2. `Famous problems' of antiquity -- 3. Decimals and logarithms -- Chapter 4. Coordinates and Complex Numbers -- Summary -- 1. Descartes' analytic geometry -- 2. Paving the way -- 3. Imaginary roots and complex numbers -- 4. The fundamental theorem of algebra -- Chapter 5. Struggles with the Infinite -- Summary -- 1. Zeno and Aristotle -- 2. Archimedes' `Method' -- 3. Infinitesimals in the calculus -- 4. Critique of the calculus -- Chapter 6. From Calculus to Analysis -- Summary -- 1. D'Alembert and Lagrange -- 2. Cauchy's `Cours d'Analyse' -- 3. Continuous functions -- 4. Derivative and integral
505	8		_aChapter 7. Number Systems -- Summary -- 1. Sets of numbers -- 2. Natural numbers -- 3. Integers and rationals -- 4. Dedekind cuts -- 5. Cantor's construction of the reals -- 6. Decimal expansions -- 7. Algebraic and constructible numbers -- 8. Transcendental numbers -- Chapter 8. Axioms for number systems -- Summary -- 1. The axiomatic method -- 2. The Peano axioms -- 3. Axioms for the real number system -- 4. Appendix: arithmetic and order in C -- Chapter 9. Counting beyond the finite -- Summary -- 1. Cantor's continuum -- 2. Cantor's transfinite numbers -- 3. Comparison of cardinals
505	8		_aChapter 10. Solid Foundations? -- Summary -- 1. Avoiding paradoxes: the ZF axioms -- 2. The axiom of choice -- 3. Tribal conflict -- 4. Gödel's incompleteness theorems -- 5. A logician's revenge? -- Epilogue -- Bibliography -- Name Index -- Index -- Blank Page -- Blank Page
590			_aAdded to collection customer.56279.3
650		0	_aMathematics _xHistory. _917356
650		0	_aInventions _xMathematical models. _935671
650		7	_aMathematics. _2fast _0(OCoLC)fst01012163
655		7	_aHistory. _2fast _0(OCoLC)fst01411628
655		4	_aElectronic books.
710	2		_aOpen Book Publishers, _ePublisher.
776	0	8	_iPrint version: _z9781800640962
776	0	8	_iPrint version: _z9781800640955
856	4	0	_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2660315
938			_aProQuest Ebook Central _bEBLB _nEBL6379906
938			_aYBP Library Services _bYANK _n301702440
938			_aEBSCOhost _bEBSC _n2660315
942			_cEBK
994			_a92 _bN$T
999			_c6190 _d6190