000			04796cam a22005898i 4500
001			9781003105244
003			FlBoTFG
005			20220509192928.0
006			m o d
007			cr |||||||||||
008			200806s2021 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9781003105244 _q(ebook)
020			_a1003105246
020			_a9781000299632
020			_a1000299635
020			_a9781000299571 _q(PDF ebook)
020			_a1000299570
020			_a9781000299601 _q(Mobipocket ebook)
020			_a1000299600
020			_z9780367613327 _q(hardback)
035			_a(OCoLC)1184122111 _z(OCoLC)1202870477 _z(OCoLC)1206397214
035			_a(OCoLC-P)1184122111
050	0	0	_aQA141
072		7	_aMAT _x003000 _2bisacsh
072		7	_aTEC _x029000 _2bisacsh
072		7	_aBUS _x049000 _2bisacsh
072		7	_aTBC _2bicssc
082	0	0	_a512.7 _223
100	1		_aShah, Nita H., _eauthor.
245	1	0	_aJourney from natural numbers to complex numbers / _cNita H. Shah and Thakkar D. Vishnuprasad.
264		1	_aBoca Raton : _bCRC Press, _c2021.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bn _2rdamedia
338			_aonline resource _bnc _2rdacarrier
490	1		_aCRC focus series
490	1		_aAdvances in mathematics and engineering
520			_a"This book covers the fundamentals, proof of theorems, examples, definitions, and concepts. It explains the theory in an easy and understandable manner and offers problems for understanding and extensions of concept are included. The book provides concepts in other fields and includes an understanding of handling of numbers by computers. Research scholars and students working in the fields of engineering, science, and different branches of mathematics will find this book of interest, as it provides the subject in a clear and concise way"-- _cProvided by publisher.
505	0		_aCover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Author biographies -- Chapter 1 Natural Numbers -- 1.1 Prerequisites -- 1.1.1 Set Theory -- 1.1.2 Relation -- 1.1.3 Function -- 1.1.4 Cardinality -- 1.1.5 Algebra -- 1.2 Positive Integers -- 1.2.1 Positive Integers in Real Life -- 1.2.2 Set Theoretic Definition of Natural Numbers -- 1.2.3 Peano Axioms -- 1.2.4 Ordering in Natural Numbers -- 1.2.5 First Principle of Mathematical Induction -- 1.2.6 Second Principle of Mathematical Induction -- 1.2.7 Well-Ordering Principle
505	8		_a1.2.8 Limitations of Natural Numbers -- 1.2.9 Representation of Natural Numbers -- 1.2.9.1 Hexadecimal System -- 1.2.10 Number System Used by Computers -- 1.3 Summary -- Chapter 2 Integers -- 2.1 Informal Introduction of Integers -- 2.2 Integers as Relation in Ordered Pairs of Natural Numbers -- 2.3 Ordering in Ordered Pairs -- 2.4 Operations in Ordered Pairs of Natural Numbers -- 2.5 Properties of Binary Operations -- 2.6 Interpretation of Relation and Operations -- 2.7 Mapping of Ordered Pairs as Extension of Natural Numbers -- 2.8 Representation of Integers -- 2.9 Summary
505	8		_aChapter 3 Rational Numbers -- 3.1 Informal Introduction of Rational Numbers -- 3.2 Rational Numbers as Relation in Ordered Pairs of Integers -- 3.3 Ordering in Ordered Pairs -- 3.4 Operations in Ordered Pairs -- 3.5 Properties of Binary Operations -- 3.6 Interpretation of Relation and Operations -- 3.7 Mapping of Ordered Pairs as Extension of Integers -- 3.8 Representation of Rational Numbers -- 3.9 Limitations of Rational Numbers -- 3.10 Summary -- Chapter 4 Real Numbers -- 4.1 Least Upper Bound Property -- 4.2 Rational Cuts -- 4.3 Dedekind Cuts -- 4.4 Ordering in Cuts
505	8		_a4.5 Binary Operations in Cuts -- 4.6 Least Upper Bound Property -- 4.7 Set of Cuts as Extension of Rational Numbers -- 4.8 Cardinality of Set of Real Numbers -- 4.9 Limitations of Real Numbers -- 4.10 Summary -- Chapter 5 Complex Numbers -- 5.1 Complex Numbers as Ordered Pairs of Real Numbers -- 5.2 Binary Operations in Complex Numbers -- 5.3 Introduction of Imaginary Numbers -- 5.4 Representation of Complex Numbers -- 5.5 Ordering in Complex numbers -- 5.6 Cardinality of the Set of Complex Numbers -- 5.7 Algebraic Numbers -- 5.8 Summary -- Index
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aNumbers, Natural.
650		0	_aNumbers, Complex.
650		7	_aMATHEMATICS / Applied _2bisacsh
650		7	_aTECHNOLOGY / Operations Research _2bisacsh
650		7	_aBUSINESS & ECONOMICS / Operations Research _2bisacsh
700	1		_aVishnuprasad, Thakkar D., _eauthor.
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9781003105244
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c126721 _d126721