Complex Numbers and Vectors

Complex Numbers and Vectors
Author: Les Evans
Publsiher: Aust Council for Ed Research
Total Pages: 168
Release: 2006
ISBN 10: 0864315325
ISBN 13: 9780864315328
Language: EN, FR, DE, ES & NL

Complex Numbers and Vectors Book Review:

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 and Geometry

Complex Numbers and Geometry
Author: Liang-shin Hahn
Publsiher: American Mathematical Soc.
Total Pages: 192
Release: 2019-12-26
ISBN 10: 1470451824
ISBN 13: 9781470451820
Language: EN, FR, DE, ES & NL

Complex Numbers and Geometry Book Review:

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.

Complex Numbers from A to Z

Complex Numbers from A to    Z
Author: Titu Andreescu,Dorin Andrica
Publsiher: Springer Science & Business Media
Total Pages: 322
Release: 2007-10-08
ISBN 10: 0817644490
ISBN 13: 9780817644499
Language: EN, FR, DE, ES & NL

Complex Numbers from A to Z Book Review:

* 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

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
Publsiher: Royal Society of Chemistry
Total Pages: 143
Release: 2003
ISBN 10: 9780854044955
ISBN 13: 0854044957
Language: EN, FR, DE, ES & NL

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

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

Complex Numbers
Author: Jörg Kortemeyer
Publsiher: Springer Nature
Total Pages: 47
Release: 2022-01-01
ISBN 10: 3658349298
ISBN 13: 9783658349295
Language: EN, FR, DE, ES & NL

Complex Numbers Book Review:

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

Complex Numbers
Author: Walter Ledermann
Publsiher: Springer Science & Business Media
Total Pages: 63
Release: 2013-03-14
ISBN 10: 940116570X
ISBN 13: 9789401165709
Language: EN, FR, DE, ES & NL

Complex Numbers Book Review:

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

Complex Numbers
Author: S C Roy
Publsiher: Elsevier
Total Pages: 144
Release: 2007-07-01
ISBN 10: 0857099426
ISBN 13: 9780857099426
Language: EN, FR, DE, ES & NL

Complex Numbers Book Review:

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 Geometry

Complex Numbers in Geometry
Author: I. M. Yaglom
Publsiher: Academic Press
Total Pages: 256
Release: 2014-05-12
ISBN 10: 148326663X
ISBN 13: 9781483266633
Language: EN, FR, DE, ES & NL

Complex Numbers in Geometry Book Review:

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.

Complex Numbers

Complex Numbers
Author: Yevgeniya Elkina
Publsiher: Lulu.com
Total Pages: 135
Release: 2022
ISBN 10: 1794834796
ISBN 13: 9781794834798
Language: EN, FR, DE, ES & NL

Complex Numbers Book Review:

Complex Numbers Made Simple

Complex Numbers Made Simple
Author: Verity Carr
Publsiher: Newnes
Total Pages: 128
Release: 1996-03-12
ISBN 10: 0080938442
ISBN 13: 9780080938448
Language: EN, FR, DE, ES & NL

Complex Numbers Made Simple Book Review:

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.

Integration with Complex Numbers

Integration with Complex Numbers
Author: Brian McMaster,Aisling McCluskey
Publsiher: Oxford University Press
Total Pages: 256
Release: 2022-05-02
ISBN 10: 0192661574
ISBN 13: 9780192661579
Language: EN, FR, DE, ES & NL

Integration with Complex Numbers Book Review:

Complex analysis, more than almost any other undergraduate topic in mathematics, runs the full pure/applied gamut from the most subtle, difficult, and ingenious proofs to the most direct, hands-on, engineering-based applications. This creates challenges for the instructor as much as for the very wide range of students whose various programmes require a secure grasp of complex analysis. Its techniques are indispensable to many, but skill in the use of a mathematical tool is hazardous and fallible without a sound understanding of why and when that tool is the right one to pick up. This kind of understanding develops only by combining careful exploration of ideas, analysis of proofs, and practice across a range of exercises. Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and practice, informed by several decades of classroom experience and a seasoned understanding of the backgrounds, motivation, and competing time pressures of today's student cohorts. To achieve its aim of supporting and sustaining such cohorts through those aspects of complex analysis that they encounter in first and second-year study, it also balances competing needs to be self-contained, comprehensive, accessible, and engaging - all in sufficient but not in excessive measures. In particular, it begins where most students are likely to be, and invests the time and effort that are required in order to deliver accessibility and introductory gradualness.

Trigonometric Functions and Complex Numbers

Trigonometric Functions and Complex Numbers
Author: Desheng Yang
Publsiher: World Scientific Publishing Company
Total Pages: 424
Release: 2016-09-21
ISBN 10: 1938134885
ISBN 13: 9781938134883
Language: EN, FR, DE, ES & NL

Trigonometric Functions and Complex Numbers Book Review:

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

Geometry of Complex Numbers

Geometry of Complex Numbers
Author: Hans Schwerdtfeger
Publsiher: Courier Corporation
Total Pages: 224
Release: 2012-05-23
ISBN 10: 0486135861
ISBN 13: 9780486135861
Language: EN, FR, DE, ES & NL

Geometry of Complex Numbers Book Review:

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

Calculus with Complex Numbers

Calculus with Complex Numbers
Author: John B. Reade
Publsiher: CRC Press
Total Pages: 112
Release: 2003-03-13
ISBN 10: 0203417860
ISBN 13: 9780203417867
Language: EN, FR, DE, ES & NL

Calculus with Complex Numbers Book Review:

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 A level H2 Math

Complex Numbers  A level H2 Math
Author: Lee Jun Cai
Publsiher: AcesMath!
Total Pages: 34
Release: 2022
ISBN 10: 1928374650XXX
ISBN 13: 9182736450XXX
Language: EN, FR, DE, ES & NL

Complex Numbers A level H2 Math Book Review:

Confused about the various graph transformation taught in school? This book on Complex Numbers seeks to offer a condensed version of what you need to know for A-Levels H2 Mathematics, alongside with detailed worked examples and extra practice questions. Tips on certain question types are provided to aid in smoothing the working process when dealing with them.

Around Caspar Wessel and the Geometric Representation of Complex Numbers

Around Caspar Wessel and the Geometric Representation of Complex Numbers
Author: Jesper Lützen
Publsiher: Kgl. Danske Videnskabernes Selskab
Total Pages: 293
Release: 2001
ISBN 10: 9788778762368
ISBN 13: 8778762367
Language: EN, FR, DE, ES & NL

Around Caspar Wessel and the Geometric Representation of Complex Numbers Book Review:

Introduction To Analysis With Complex Numbers

Introduction To Analysis With Complex Numbers
Author: Irena Swanson
Publsiher: World Scientific
Total Pages: 456
Release: 2021-02-18
ISBN 10: 9811225877
ISBN 13: 9789811225871
Language: EN, FR, DE, ES & NL

Introduction To Analysis With Complex Numbers Book Review:

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.

Complex Numbers in n Dimensions

Complex Numbers in n Dimensions
Author: S. Olariu
Publsiher: Elsevier
Total Pages: 286
Release: 2002-06-20
ISBN 10: 0080529585
ISBN 13: 9780080529585
Language: EN, FR, DE, ES & NL

Complex Numbers in n Dimensions Book Review:

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.

Journey from Natural Numbers to Complex Numbers

Journey from Natural Numbers to Complex Numbers
Author: Nita H. Shah,Vishnuprasad D. Thakkar
Publsiher: CRC Press
Total Pages: 80
Release: 2020-12-03
ISBN 10: 1000299570
ISBN 13: 9781000299571
Language: EN, FR, DE, ES & NL

Journey from Natural Numbers to Complex Numbers Book Review:

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.

An introduction to complex numbers

An introduction to complex numbers
Author: The Open University
Publsiher: The Open University
Total Pages: 135
Release: 2011-06-13
ISBN 10: 1928374650XXX
ISBN 13: 9182736450XXX
Language: EN, FR, DE, ES & NL

An introduction to complex numbers Book Review:

This 16-hour free course looked at various aspects of complex numbers including their definition and their geometric representation.