Introduction To The Geometry Of Complex Numbers
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Introduction to the Geometry of Complex Numbers
Author | : Roland Deaux |
Publsiher | : Courier Corporation |
Total Pages | : 208 |
Release | : 2013-01-23 |
Genre | : Mathematics |
ISBN | : 9780486158044 |
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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.
Introduction to the Geometry of Complex Numbers
Author | : Roland 1893- Deaux |
Publsiher | : Hassell Street Press |
Total Pages | : 220 |
Release | : 2021-09-09 |
Genre | : Electronic Book |
ISBN | : 1014862523 |
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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Geometry of Complex Numbers
Author | : Hans Schwerdtfeger |
Publsiher | : Courier Corporation |
Total Pages | : 224 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 9780486135861 |
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Complex Numbers and Geometry
Author | : Liang-shin Hahn |
Publsiher | : American Mathematical Soc. |
Total Pages | : 192 |
Release | : 2019-12-26 |
Genre | : Education |
ISBN | : 9781470451820 |
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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 and Geometry
Author | : Liang-shin Hahn |
Publsiher | : Cambridge University Press |
Total Pages | : 212 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0883855100 |
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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.
Complex Numbers from A to Z
Author | : Titu Andreescu,Dorin Andrica |
Publsiher | : Springer Science & Business Media |
Total Pages | : 336 |
Release | : 2007-10-08 |
Genre | : Mathematics |
ISBN | : 9780817644499 |
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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 in Geometry
Author | : I. M. Yaglom |
Publsiher | : Academic Press |
Total Pages | : 256 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 9781483266633 |
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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.
An Introduction to Complex Analysis and Geometry
Author | : John P. D'Angelo |
Publsiher | : American Mathematical Soc. |
Total Pages | : 177 |
Release | : 2010 |
Genre | : Functions of complex variables |
ISBN | : 9780821852743 |
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Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.