Geometry Of Complex Numbers

Author : Hans Schwerdtfeger
Publisher : Courier Corporation
ISBN 13 : 0486135861
Total Pages : 224 pages
Book Rating : 4.61/5 ( download)

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Download or read book Geometry of Complex Numbers written by Hans Schwerdtfeger and published by Courier Corporation. This book was released on 2012-05-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Author : Liang-shin Hahn
Publisher : American Mathematical Soc.
ISBN 13 : 1470451824
Total Pages : 192 pages
Book Rating : 4.20/5 ( download)

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Download or read book Complex Numbers and Geometry written by Liang-shin Hahn and published by American Mathematical Soc.. This book was released on 2019-12-26 with total page 192 pages. Available in PDF, EPUB and Kindle. Book 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.

Author : I. M. Yaglom
Publisher : Academic Press
ISBN 13 : 148326663X
Total Pages : 256 pages
Book Rating : 4.33/5 ( download)

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Download or read book Complex Numbers in Geometry written by I. M. Yaglom and published by Academic Press. This book was released on 2014-05-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book 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.

Author : Donu Arapura
Publisher : Springer Science & Business Media
ISBN 13 : 1461418097
Total Pages : 329 pages
Book Rating : 4.92/5 ( download)

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Download or read book Algebraic Geometry over the Complex Numbers written by Donu Arapura and published by Springer Science & Business Media. This book was released on 2012-02-15 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817644490
Total Pages : 336 pages
Book Rating : 4.99/5 ( download)

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Download or read book Complex Numbers from A to ...Z written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book 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

Author : H. Schwerdtfeger
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.33/5 ( download)

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Download or read book Geometry of Complex Numbers written by H. Schwerdtfeger and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Roland Deaux
Publisher : Courier Corporation
ISBN 13 : 0486158047
Total Pages : 208 pages
Book Rating : 4.44/5 ( download)

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Download or read book Introduction to the Geometry of Complex Numbers written by Roland Deaux and published by Courier Corporation. This book was released on 2013-01-23 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John P. D'Angelo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852744
Total Pages : 177 pages
Book Rating : 4.43/5 ( download)

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Download or read book An Introduction to Complex Analysis and Geometry written by John P. D'Angelo and published by American Mathematical Soc.. This book was released on 2010 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817644490
Total Pages : 336 pages
Book Rating : 4.99/5 ( download)

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Download or read book Complex Numbers from A to ...Z written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book 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

Author : Robert E. Greene
Publisher : Springer Science & Business Media
ISBN 13 : 0817646221
Total Pages : 303 pages
Book Rating : 4.26/5 ( download)

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Download or read book The Geometry of Complex Domains written by Robert E. Greene and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.