Complex Numbers from A to    Z Book

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

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Complex Numbers from A to Z Book Description :

* 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 Book

Complex Numbers


  • Author : Walter Ledermann
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • Genre: Juvenile Nonfiction
  • Pages : 63
  • ISBN 10 : 9789401165709

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Complex Numbers Book Description :

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.

Pure mathematics Book

Pure mathematics


  • Author : Anthony Nicolaides
  • Publisher : PASS PUBLICATIONS
  • Release Date : 2007
  • Genre: Numbers, Complex
  • Pages : 89
  • ISBN 10 : 9781872684925

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Pure mathematics Book Description :

Complex Numbers Made Simple Book

Complex Numbers Made Simple


  • Author : Verity Carr
  • Publisher : Newnes
  • Release Date : 1996
  • Genre: Mathematics
  • Pages : 134
  • ISBN 10 : 9780750625593

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Complex Numbers Made Simple Book Description :

Complex Numbers lie at the heart of most technical and scientific subjects. This book can be used to teach complex numbers as a course text,a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexible learning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.

Complex Numbers and Vectors Book

Complex Numbers and Vectors


  • Author : Les Evans
  • Publisher : Aust Council for Ed Research
  • Release Date : 2006
  • Genre: Education
  • Pages : 168
  • ISBN 10 : 9780864315328

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Complex Numbers and Vectors Book Description :

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.

Complex Numbers Book

Complex Numbers


  • Author : W. Bolton
  • Publisher : Longman Group United Kingdom
  • Release Date : 1995
  • Genre: Mathematics
  • Pages : 110
  • ISBN 10 : 0582237416

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Complex Numbers Book Description :

This book is part of a series designed to provide engineering students in colleges and universities with a mathematical toolkit, each book including the mathematics in an engineering context. Worked examples and problems with answers are included.

Complex Numbers Book

Complex Numbers


  • Author : Glen Prideaux
  • Publisher : Lulu.com
  • Release Date : 2016-09-27
  • Genre:
  • Pages : 104
  • ISBN 10 : 9781365424892

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Complex Numbers Book Description :

A set of well designed, graded practice problems for secondary students covering aspects of complex numbers including modulus, argument, conjugates, arithmetic, the complex plane, roots of quadratic equations, the factor and remainder theorems applied to polynomial functions, Cartesian and polar representations, De Moivre's theorem, complex roots, and Euler's theorem. Solutions are provided for odd-numbered questions.

Complex Numbers and Geometry Book

Complex Numbers and Geometry


  • Author : Liang-shin Hahn
  • Publisher : Cambridge University Press
  • Release Date : 1994
  • Genre: Mathematics
  • Pages : 192
  • ISBN 10 : 0883855100

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Complex Numbers and Geometry Book Description :

This book demonstrates how complex numbers and geometry can be blended together to give easy proofs of many theorems in plane geometry.

Geometry of Complex Numbers Book

Geometry of Complex Numbers


  • Author : Hans Schwerdtfeger
  • Publisher : Courier Corporation
  • Release Date : 2012-05-23
  • Genre: Mathematics
  • Pages : 224
  • ISBN 10 : 9780486135861

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Geometry of Complex Numbers Book Description :

Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Algebraic Geometry over the Complex Numbers Book

Algebraic Geometry over the Complex Numbers


  • Author : Donu Arapura
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-02-15
  • Genre: Mathematics
  • Pages : 329
  • ISBN 10 : 9781461418092

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Algebraic Geometry over the Complex Numbers Book Description :

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

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 : 143
  • ISBN 10 : 0854044957

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Maths for Chemists Power series complex numbers and linear algebra Book Description :

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).

Calculus with Complex Numbers Book

Calculus with Complex Numbers


  • Author : John B. Reade
  • Publisher : CRC Press
  • Release Date : 2003-03-13
  • Genre: Mathematics
  • Pages : 112
  • ISBN 10 : 0203417860

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Calculus with Complex Numbers Book Description :

This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and the fundamental theorem of algebra. The Residue Theo

Complex Numbers Book

Complex Numbers


  • Author : S C Roy
  • Publisher : Elsevier
  • Release Date : 2007-07-01
  • Genre: Mathematics
  • Pages : 144
  • ISBN 10 : 9780857099426

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Complex Numbers Book Description :

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

John and Betty s Journey Through Complex Numbers Book
Score: 5
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John and Betty s Journey Through Complex Numbers


  • Author : Matt Bower
  • Publisher : Matthew Bower
  • Release Date : 1999
  • Genre: Numbers, Complex
  • Pages : 68
  • ISBN 10 : 0646385208

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John and Betty s Journey Through Complex Numbers Book Description :

Set in the genre of a children's book, John and Betty trace the evolution of complex numbers and explore their operations. From integers, to fractions, to surds, complex numbers are made to seem like an obvious extension. Incorporating graphing on the complex number plane and culminating in De Moivre's Theorem, the logic of complex numbers is made to seem intuitive and simple. John and Betty delight in their journey, as will senior mathematics students.

Complex Numbers in n Dimensions Book

Complex Numbers in n Dimensions


  • Author : S. Olariu
  • Publisher : Elsevier
  • Release Date : 2002-06-20
  • Genre: Mathematics
  • Pages : 286
  • ISBN 10 : 0080529585

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Complex Numbers in n Dimensions Book Description :

Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined. The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis. The other type of hypercomplex numbers exists as a distinct entity only when the number of dimensions n of the space is even, and since the position of a point is specified with the aid of n/2-1 planar angles, these numbers have been called planar hypercomplex numbers. The development of the concept of analytic functions of hypercomplex variables was rendered possible by the existence of an exponential form of the n-complex numbers. Azimuthal angles, which are cyclic variables, appear in these forms at the exponent, and lead to the concept of n-dimensional hypercomplex residue. Expressions are given for the elementary functions of n-complex variable. In particular, the exponential function of an n-complex number is expanded in terms of functions called in this book n-dimensional cosexponential functions of the polar and respectively planar type, which are generalizations to n dimensions of the sine, cosine and exponential functions. In the case of polar complex numbers, a polynomial can be written as a product of linear or quadratic factors, although it is interesting that several factorizations are in general possible. In the case of planar hypercomplex numbers, a polynomial can always be written as a product of linear factors, although, again, several factorizations are in general possible. The book presents a detailed analysis of the hypercomplex numbers in 2, 3 and 4 dimensions, the

Complex Numbers in Geometry Book

Complex Numbers in Geometry


  • Author : I. M. Yaglom
  • Publisher : Academic Press
  • Release Date : 2014-05-12
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9781483266633

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Complex Numbers in Geometry Book Description :

Complex Numbers in Geometry focuses on the principles, interrelations, and applications of geometry and algebra. The book first offers information on the types and geometrical interpretation of complex numbers. Topics include interpretation of ordinary complex numbers in the Lobachevskii plane; double numbers as oriented lines of the Lobachevskii plane; dual numbers as oriented lines of a plane; most general complex numbers; and double, hypercomplex, and dual numbers. The text then takes a look at circular transformations and circular geometry, including ordinary circular transformations, axial circular transformations of the Lobachevskii plane, circular transformations of the Lobachevskii plane, axial circular transformations, and ordinary circular transformations. The manuscript is intended for pupils in high schools and students in the mathematics departments of universities and teachers' colleges. The publication is also useful in the work of mathematical societies and teachers of mathematics in junior high and high schools.

Finite Neutrosophic Complex Numbers Book

Finite Neutrosophic Complex Numbers


  • Author : W. B. Vasantha Kandasamy, Florentin Smarandache
  • Publisher : Infinite Study
  • Release Date : 2011
  • Genre: Group theory
  • Pages : 219
  • ISBN 10 : 9781599731582

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Finite Neutrosophic Complex Numbers Book Description :

Non Associative Algebraic Structures Using Finite Complex Numbers Book

Non Associative Algebraic Structures Using Finite Complex Numbers


  • Author : W.B. Vasantha Kandasamy, Florentin Smarandache
  • Publisher : Infinite Study
  • Release Date : 2012
  • Genre:
  • Pages :
  • ISBN 10 : 9781599731698

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Non Associative Algebraic Structures Using Finite Complex Numbers Book Description :

The authors have used the concept of finite complex modulo integers to construct non associative algebraic structures like groupoids, loops and quasi-loops.Using these structures we built non associative complex matrix groupoids and complex polynomial groupoids.The authors suggest over 300 problems and some are at the research level.

Exploring the Extension of Natural Operations on Intervals  Matrices and Complex Numbers Book

Exploring the Extension of Natural Operations on Intervals Matrices and Complex Numbers


  • Author : W. B. Vasantha Kandasamy, Florentin Smarandache
  • Publisher : Infinite Study
  • Release Date : 2012
  • Genre: Algebra
  • Pages : 150
  • ISBN 10 : 9781599731797

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Exploring the Extension of Natural Operations on Intervals Matrices and Complex Numbers Book Description :

In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.