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  ▼a  (OCoLC)1184122111
  ▼z  (OCoLC)1202870477
  ▼z  (OCoLC)1206397214

• 037

  ▼a  9781003105244
  ▼b  Taylor & Francis

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• 100

  ▼a  Shah, Nita H.,
  ▼e  author.

• 245

  ▼a  Journey from natural numbers to complex numbers /
  ▼c  Nita H. Shah and Thakkar D. Vishnuprasad.

• 260

  ▼a  Boca Raton:
  ▼b  CRC Press,
  ▼c  2021.

• 263

  ▼a  2012

• 300

  ▼a  1 online resource.

• 336

  ▼a  text
  ▼b  txt
  ▼2  rdacontent

• 337

  ▼a  computer
  ▼b  n
  ▼2  rdamedia

• 338

  ▼a  online resource
  ▼b  nc
  ▼2  rdacarrier

• 490

  ▼a  Advances in Mathematics and Engineering Ser.

• 504

  ▼a  Includes bibliographical references and index.

• 505

  ▼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

• 505

  ▼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

• 505

  ▼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

• 505

  ▼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

• 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"--
  ▼c  Provided by publisher.

• 545

  ▼a  Nita H. Shahreceived her PhD in Statistics from Gujarat University in 1994. From February 1990 till now she is HOD of Department of Mathematics in Gujarat University, India. She is post-doctoral visiting research fellow of University of New Brunswick, Canada. Prof. Nita's research interests include inventory modeling in supply chain, robotic modeling, mathematical modeling of infectious diseases, image processing, dynamical systems and its applications etc. Prof. Nita has published 13 monograph, 5 textbooks, and 475+ peer-reviewed research papers. Four edited books were prepared for IGI-Global and Springer with a coeditor. Her papers are published in high impact Elsevier, Inderscience and Taylor and Francis journals. She is the author of 14 books. Vishnuprasad D. Thakkar did his Masters in Mathematics from Gujarat University, India and was recipient of the National Merit Scholarship during his post-graduation study. The study was followed by 35+ years' experience in Information Technology in the area of application solution design, development and implementation including ERP implementation and real-time process monitoring. After retirement from industry, he completed his Ph.D. in Mathematics under guidance of Prof. (Dr.) Nita H. Shah.

• 588

  ▼a  Description based on print version record and CIP data provided by publisher; resource not viewed.

• 590

  ▼a  Master record variable field(s) change: 072

• 650

  ▼a  Numbers, Natural.

• 650

  ▼a  Numbers, Complex.

• 650

  ▼a  Numbers, Complex
  ▼2  fast
  ▼0  (OCoLC)fst01041230

• 650

  ▼a  Numbers, Natural
  ▼2  fast
  ▼0  (OCoLC)fst01041233

• 650

  ▼a  MATHEMATICS / Applied
  ▼2  bisacsh

• 650

  ▼a  TECHNOLOGY / Operations Research
  ▼2  bisacsh

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  ▼a  BUSINESS & ECONOMICS / Operations Research
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  ▼a  Electronic books.

• 700

  ▼a  Vishnuprasad, Thakkar D.,
  ▼e  author.

• 776

  ▼i  Print version:
  ▼a  Shah, Nita H..
  ▼t  Journey from natural numbers to complex numbers.
  ▼d  Boca Raton : CRC Press, 2021.,
  ▼z  9780367613327
  ▼w  (DLC) 2020035251

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  ▼a  Advances in Mathematics and Engineering Ser.

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