Complex Numbers Book

Complex Numbers


  • Author : S C Roy
  • Publisher : Elsevier
  • Release Date : 2007-07-01
  • Genre: Mathematics
  • Pages : 144
  • ISBN 10 : 9780857099426
  • Total Read : 71
  • File Size : 6,5 Mb

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Complex Numbers Summary:

An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis. Stephen Roy assumes no detailed mathematical knowledge on the part of the reader and provides a fascinating description of the use of this fundamental idea within the two subject areas of lattice simulation and number theory. Complex Numbers offers a fresh and critical approach to research-based implementation of the mathematical concept of imaginary numbers. Detailed coverage includes: Riemann’s zeta function: an investigation of the non-trivial roots by Euler-Maclaurin summation. Basic theory: logarithms, indices, arithmetic and integration procedures are described. Lattice simulation: the role of complex numbers in Paul Ewald’s important work of the I 920s is analysed. Mangoldt’s study of the xi function: close attention is given to the derivation of N(T) formulae by contour integration. Analytical calculations: used extensively to illustrate important theoretical aspects. Glossary: over 80 terms included in the text are defined. Offers a fresh and critical approach to the research-based implication of complex numbers Includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the Riemann hypothesis Bridges any gaps that might exist between the two worlds of lattice sums and number theory

Complex Numbers and Vectors Book

Complex Numbers and Vectors


  • Author : Les Evans
  • Publisher : Aust Council for Ed Research
  • Release Date : 2006
  • Genre: Education
  • Pages : 178
  • ISBN 10 : 9780864315328
  • Total Read : 81
  • File Size : 13,6 Mb

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Complex Numbers and Vectors Summary:

Complex Numbers and Vectors draws on the power of intrigue and uses appealing applications from navigation, global positioning systems, earthquakes, circus acts and stories from mathematical history to explain the mathematics of vectors and the discoveries of complex numbers. The text includes historical and background material, discussion of key concepts, skills and processes, commentary on teaching and learning approaches, comprehensive illustrative examples with related tables, graphs and diagrams throughout, references for each chapter (text and web-based), student activities and sample solution notes, and an extensive bibliography.

Journey from Natural Numbers to Complex Numbers Book

Journey from Natural Numbers to Complex Numbers


  • Author : Nita H. Shah
  • Publisher : CRC Press
  • Release Date : 2020-12-02
  • Genre: Technology & Engineering
  • Pages : 88
  • ISBN 10 : 9781000299632
  • Total Read : 93
  • File Size : 10,8 Mb

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Journey from Natural Numbers to Complex Numbers Summary:

This book is for those interested in number systems, abstract algebra, and analysis. It provides an understanding of negative and fractional numbers with theoretical background and explains rationale of irrational and complex numbers in an easy to understand format. 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.

Complex Numbers from A to    Z Book
Score: 5
From 1 Ratings

Complex Numbers from A to Z


  • Author : Titu Andreescu
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-10-08
  • Genre: Mathematics
  • Pages : 322
  • ISBN 10 : 9780817644499
  • Total Read : 67
  • File Size : 18,9 Mb

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Complex Numbers from A to Z Summary:

* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory

Complex Numbers and Geometry Book

Complex Numbers and Geometry


  • Author : Liang-shin Hahn
  • Publisher : American Mathematical Soc.
  • Release Date : 2019-12-26
  • Genre: Education
  • Pages : 192
  • ISBN 10 : 9781470451820
  • Total Read : 98
  • File Size : 10,8 Mb

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Complex Numbers and Geometry Summary:

The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

Maths for Chemists  Power series  complex numbers and linear algebra Book

Maths for Chemists Power series complex numbers and linear algebra


  • Author : Martin Cockett
  • Publisher : Royal Society of Chemistry
  • Release Date : 2003
  • Genre: Education
  • Pages : 150
  • ISBN 10 : 0854044957
  • Total Read : 69
  • File Size : 18,6 Mb

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Maths for Chemists Power series complex numbers and linear algebra Summary:

An excellent resource for all undergraduate chemistry students but particularly focussed on the needs of students who may not have studied mathematics beyond GCSE level (or equiv).

Complex Numbers Book

Complex Numbers


  • Author : Jörg Kortemeyer
  • Publisher : Springer Nature
  • Release Date : 2022-01-01
  • Genre: Mathematics
  • Pages : 47
  • ISBN 10 : 9783658349295
  • Total Read : 79
  • File Size : 14,9 Mb

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Complex Numbers Summary:

Complex numbers are a typical topic of basic mathematics courses. This essential provides a detailed introduction and presentation of essential aspects of dealing with complex numbers, on the one hand related to commonly occurring tasks and on the other hand embedded in basic mathematical content. This Springer essential is a translation of the original German 1st edition essentials Komplexe Zahlen by Jörg Kortemeyer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Complex Numbers Book

Complex Numbers


  • Author : Walter Ledermann
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • Genre: Science
  • Pages : 63
  • ISBN 10 : 9789401165709
  • Total Read : 70
  • File Size : 17,5 Mb

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Complex Numbers Summary:

THE purpose of this book is to prescnt a straightforward introduction to complex numbers and their properties. Complex numbers, like other kinds of numbers, are essen tially objects with which to perform calculations a:cording to certain rules, and when this principle is borne in mind, the nature of complex numbers is no more mysterious than that of the more familiar types of numbers. This formal approach has recently been recommended in a Reportt prepared for the Mathematical Association. We believe that it has distinct advantages in teaching and that it is more in line with modern algebraical ideas than the alternative geometrical or kinematical definitions of v -1 that used to be proposed. On the other hand, an elementary textbook is clearly not the place to enter into a full discussion of such questions as logical consistency, which would have to be included in a rigorous axiomatic treatment. However, the steps that had to be omitted (with due warning) can easily be filled in by the methods of abstract algebra, which do not conflict with the 'naive' attitude adopted here. I should like to thank my friend and colleague Dr. J. A. Green for a number of valuable suggestions, especially in connection with the chapter on convergence, which is a sequel to his volume Sequences and Series in this Library.