November 24, 2020

Download Ebook Free Complex Numbers

Pure mathematics

Pure mathematics
Author : Anthony Nicolaides
Publisher : PASS PUBLICATIONS
Release Date : 2007
Category : Numbers, Complex
Total pages :89
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Complex Numbers from A to ...Z

Complex Numbers from A to ...Z
Author : Titu Andreescu,Dorin Andrica
Publisher : Springer Science & Business Media
Release Date : 2007-10-08
Category : Mathematics
Total pages :322
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* 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

Complex Numbers
Author : Walter Ledermann
Publisher : Springer Science & Business Media
Release Date : 2013-03-14
Category : Juvenile Nonfiction
Total pages :63
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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.

Complex Numbers Made Simple

Complex Numbers Made Simple
Author : Verity Carr
Publisher : Newnes
Release Date : 1996
Category : Mathematics
Total pages :134
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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

Complex Numbers and Vectors
Author : Les Evans
Publisher : Aust Council for Ed Research
Release Date : 2006
Category : Education
Total pages :168
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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

Complex Numbers
Author : Glen Prideaux
Publisher : Lulu.com
Release Date : 2016-09-27
Category :
Total pages :104
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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

Complex Numbers
Author : W. Bolton
Publisher : Longman Group United Kingdom
Release Date : 1995
Category : Mathematics
Total pages :110
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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 and Geometry

Complex Numbers and Geometry
Author : Liang-shin Hahn
Publisher : Cambridge University Press
Release Date : 1994
Category : Mathematics
Total pages :192
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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

Geometry of Complex Numbers
Author : Hans Schwerdtfeger
Publisher : Courier Corporation
Release Date : 2012-05-23
Category : Mathematics
Total pages :224
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Algebraic Geometry over the Complex Numbers

Algebraic Geometry over the Complex Numbers
Author : Donu Arapura
Publisher : Springer Science & Business Media
Release Date : 2012-02-15
Category : Mathematics
Total pages :329
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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

Maths for Chemists: Power series, complex numbers and linear algebra
Author : Martin Cockett,Graham Doggett
Publisher : Royal Society of Chemistry
Release Date : 2003
Category : Education
Total pages :143
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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).

Around Caspar Wessel and the Geometric Representation of Complex Numbers

Around Caspar Wessel and the Geometric Representation of Complex Numbers
Author : Jesper Lützen
Publisher : Kgl. Danske Videnskabernes Selskab
Release Date : 2001
Category : Cartography
Total pages :293
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Calculus with Complex Numbers

Calculus with Complex Numbers
Author : John B. Reade
Publisher : CRC Press
Release Date : 2003-03-13
Category : Mathematics
Total pages :112
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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

Complex Numbers
Author : S C Roy
Publisher : Elsevier
Release Date : 2007-07-01
Category : Mathematics
Total pages :144
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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 in n Dimensions

Complex Numbers in n Dimensions
Author : S. Olariu
Publisher : Elsevier
Release Date : 2002-06-20
Category : Mathematics
Total pages :286
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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, then presents the properties of hypercomplex numbers in 5 and 6 dimensions, and it continues with a detailed analysis of polar and planar hypercomplex numbers in n dimensions. The essence of this book is the interplay between the algebraic, the geometric and the analytic facets of the relations.