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Complex Numbers

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Pure mathematics

Pure mathematics Book
Author : Anthony Nicolaides
Publisher : PASS PUBLICATIONS
Release : 2007
ISBN : 1872684920
Language : En, Es, Fr & De

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Book Description :

Download Pure mathematics book written by Anthony Nicolaides, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Complex Numbers

Complex Numbers Book
Author : Walter Ledermann
Publisher : Springer Science & Business Media
Release : 2013-03-14
ISBN : 940116570X
Language : En, Es, Fr & De

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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.

Complex Numbers from A to Z

Complex Numbers from A to    Z Book
Author : Titu Andreescu,Dorin Andrica
Publisher : Springer Science & Business Media
Release : 2007-10-08
ISBN : 0817644490
Language : En, Es, Fr & De

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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

Complex Numbers Book
Author : Glen Prideaux
Publisher : Lulu.com
Release : 2016-09-27
ISBN : 1365424898
Language : En, Es, Fr & De

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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 Vectors

Complex Numbers and Vectors Book
Author : Les Evans
Publisher : Aust Council for Ed Research
Release : 2006
ISBN : 0864315325
Language : En, Es, Fr & De

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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 Made Simple

Complex Numbers Made Simple Book
Author : Verity Carr
Publisher : Newnes
Release : 1996
ISBN : 0750625597
Language : En, Es, Fr & De

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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.

STPM 2020 MT Term 1 Chapter 04 Complex Numbers STPM Mathematics T Past Year Q A

STPM 2020 MT Term 1 Chapter 04 Complex Numbers   STPM Mathematics  T  Past Year Q   A Book
Author : KK LEE
Publisher : KK LEE MATHEMATICS
Release : 2019-07-03
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This Past Year Q and A book is compiled for all current KK LEE students to help students to answer all the past year questions. All current KK LEE can get this book for free. Please contact KK LEE if you havent get this book. Students who are not KK Lee students can also purchase the book through Google Play. STPM 2020 Past Year Q & A Series - STPM 2020 Mathematics (T) Term 1 Chapter 4 Complex Numbers. All questions are sorted according to the sub chapters of the new STPM syllabus. Questions and sample answers with full workings are provided. Some of sample solutions included are collected from the forums online. Please be reminded that the sample solutions are not 100% following the real STPM marking scheme. 4 Complex Numbers

Complex Numbers

Complex Numbers Book
Author : W. Bolton
Publisher : Longman Group United Kingdom
Release : 1995
ISBN : 9780582237414
Language : En, Es, Fr & De

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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.

Calculus with Complex Numbers

Calculus with Complex Numbers Book
Author : John B. Reade
Publisher : CRC Press
Release : 2003-03-13
ISBN : 9780415308465
Language : En, Es, Fr & De

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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 Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical science, and engineering.

STPM MATHEMATICS COMPLEX NUMBER

STPM MATHEMATICS  COMPLEX NUMBER Book
Author : KK LEE
Publisher : KK LEE MATHEMATICS
Release : 2021-05-13
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

STPM Mathematics (T) Term 1 Algebra and Geometry Chapter 4 Complex Numbers

Complex Numbers and Geometry

Complex Numbers and Geometry Book
Author : Liang-shin Hahn
Publisher : American Mathematical Soc.
Release : 2019-12-26
ISBN : 1470451824
Language : En, Es, Fr & De

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Book Description :

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.

Geometry of Complex Numbers

Geometry of Complex Numbers Book
Author : Hans Schwerdtfeger
Publisher : Courier Corporation
Release : 2012-05-23
ISBN : 0486135861
Language : En, Es, Fr & De

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Book Description :

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

Trigonometric Functions and Complex Numbers

Trigonometric Functions and Complex Numbers Book
Author : Desheng Yang
Publisher : World Scientific Publishing Company
Release : 2016-09-21
ISBN : 1938134885
Language : En, Es, Fr & De

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Book Description :

Trigonometric Functions and Complex Numbers covers the followings areas in the International Mathematical Olympiad (IMO) and other mathematical competitions. Trigonometric identity, graphs and properties of trigonometric equations, inverse trigonometric functions and trigonometric equations, solutions of triangles, trigonometric substitution and trigonometric inequality;The concept and operation of complex numbers, trigonometric form of a complex number, complex number and equation. The contents are essential for the IMO. A good help for students who want to improve in these areas. Request Inspection Copy

Complex Numbers in Geometry

Complex Numbers in Geometry Book
Author : I. M. Yaglom
Publisher : Academic Press
Release : 2014-05-12
ISBN : 148326663X
Language : En, Es, Fr & De

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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.

Algebraic Geometry over the Complex Numbers

Algebraic Geometry over the Complex Numbers Book
Author : Donu Arapura
Publisher : Springer Science & Business Media
Release : 2012-02-15
ISBN : 1461418097
Language : En, Es, Fr & De

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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.

Introduction to the Geometry of Complex Numbers

Introduction to the Geometry of Complex Numbers Book
Author : Roland Deaux
Publisher : Courier Corporation
Release : 2013-01-23
ISBN : 0486158047
Language : En, Es, Fr & De

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Book Description :

Geared toward readers unfamiliar with complex numbers, this text explains how to solve problems that frequently arise in the applied sciences and emphasizes constructions related to algebraic operations. 1956 edition.

Complex Numbers

Complex Numbers Book
Author : S C Roy
Publisher : Elsevier
Release : 2007-07-01
ISBN : 0857099426
Language : En, Es, Fr & De

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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

Complex Numbers

Complex Numbers Book
Author : Yevgeniya Elkina
Publisher : Lulu.com
Release : 2021-05-13
ISBN : 1794834796
Language : En, Es, Fr & De

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Book Description :

Download Complex Numbers book written by Yevgeniya Elkina, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Around Caspar Wessel and the Geometric Representation of Complex Numbers

Around Caspar Wessel and the Geometric Representation of Complex Numbers Book
Author : Jesper Lützen
Publisher : Kgl. Danske Videnskabernes Selskab
Release : 2001
ISBN : 9788778762368
Language : En, Es, Fr & De

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Book Description :

Download Around Caspar Wessel and the Geometric Representation of Complex Numbers book written by Jesper Lützen, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Complex Numbers

Complex Numbers Book
Author : Open University. Mathematics Foundation Course Team
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Complex Numbers book written by Open University. Mathematics Foundation Course Team, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.