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00000cam a2200000Mu 4500 |
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on1229917603 |
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OCoLC |
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20240909213021.0 |
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m o d |
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210109s2020 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCL
|d K6U
|d OCLCO
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| 020 |
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|a 9781000299632
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| 020 |
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|a 1000299635
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| 035 |
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|a (OCoLC)1229917603
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| 050 |
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4 |
|a QA141
|b .S534 2021
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Shah, Nita H.
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1 |
0 |
|a Journey from Natural Numbers to Complex Numbers
|h [electronic resource].
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| 260 |
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|a Milton :
|b Taylor & Francis Group,
|c 2020.
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| 300 |
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|a 1 online resource (95 p.).
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| 490 |
1 |
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|a Advances in Mathematics and Engineering Ser.
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| 500 |
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|a Description based upon print version of record.
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|a Cover -- 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
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|a 1.2.8 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
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|a Chapter 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
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|a 4.5 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
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| 650 |
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|a Numbers, Natural.
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| 650 |
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|a Numbers, Complex.
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| 700 |
1 |
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|a Thakkar, Vishnuprasad D.
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| 758 |
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|i has work:
|a Journey from Natural Numbers to Complex Numbers (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCYch8rMvTHF4Hq7tV6bx8P
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Shah, Nita H.
|t Journey from Natural Numbers to Complex Numbers
|d Milton : Taylor & Francis Group,c2020
|z 9780367613327
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| 830 |
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0 |
|a Advances in Mathematics and Engineering Ser.
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=6385092
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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