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 Excerpt :

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 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

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Complex Numbers and Geometry Excerpt :

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 Book
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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 Excerpt :

* 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 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 Excerpt :

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

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Complex Numbers Excerpt :

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

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Complex Numbers Excerpt :

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 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 Excerpt :

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 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 Excerpt :

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 Made Simple Book

Complex Numbers Made Simple


  • Author : Verity Carr
  • Publisher : Newnes
  • Release Date : 1996-03-12
  • Genre: Business & Economics
  • Pages : 128
  • ISBN 10 : 9780080938448

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Complex Numbers Made Simple Excerpt :

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 Book

Integration with Complex Numbers


  • Author : Brian McMaster
  • Publisher : Oxford University Press
  • Release Date : 2022-05-02
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9780192661579

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Integration with Complex Numbers Excerpt :

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 Book

Trigonometric Functions and Complex Numbers


  • Author : Desheng Yang
  • Publisher : World Scientific Publishing Company
  • Release Date : 2016-09-21
  • Genre: Mathematics
  • Pages : 424
  • ISBN 10 : 9781938134883

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Trigonometric Functions and Complex Numbers Excerpt :

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  IB Math  Book

Complex Numbers IB Math


  • Author : Lee Jun Cai
  • Publisher : AcesMath!
  • Release Date : 2022-09-30
  • Genre: Mathematics
  • Pages : 39
  • ISBN 10 : 978186723xxxx

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Complex Numbers IB Math Excerpt :

Confused about the various concepts on Complex Numbers taught in school? This book on Complex Numbers seeks to offer a condensed version of what you need to know for your journey in IB Mathematics (HL), 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.

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 Excerpt :

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

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 : 9780203417867

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Calculus with Complex Numbers Excerpt :

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