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Complex Numbers in Geometry

2014-05-12 Mathematics
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Release : 2014-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 63X/5 ( reviews)

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Book Synopsis Complex Numbers in Geometry by : I. M. Yaglom

Download or read book Complex Numbers in Geometry written by I. M. Yaglom. This book was released on 2014-05-12. 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.

Geometry of Complex Numbers

2012-05-23 Mathematics
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Release : 2012-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 861/5 ( reviews)

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Book Synopsis Geometry of Complex Numbers by : Hans Schwerdtfeger

Download or read book Geometry of Complex Numbers written by Hans Schwerdtfeger. This book was released on 2012-05-23. 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.

Complex Numbers and Geometry

2019-12-26 Education
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Release : 2019-12-26
Genre : Education
Kind : eBook
Book Rating : 824/5 ( reviews)

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Book Synopsis Complex Numbers and Geometry by : Liang-shin Hahn

Download or read book Complex Numbers and Geometry written by Liang-shin Hahn. This book was released on 2019-12-26. 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.

Algebraic Geometry over the Complex Numbers

2012-02-15 Mathematics
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Release : 2012-02-15
Genre : Mathematics
Kind : eBook
Book Rating : 097/5 ( reviews)

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Book Synopsis Algebraic Geometry over the Complex Numbers by : Donu Arapura

Download or read book Algebraic Geometry over the Complex Numbers written by Donu Arapura. This book was released on 2012-02-15. 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.

Numbers and Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 871/5 ( reviews)

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Book Synopsis Numbers and Geometry by : John Stillwell

Download or read book Numbers and Geometry written by John Stillwell. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a calculus book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He covers the main ideas of Euclid, but with 2000 years of extra insights attached. Presupposing only high school algebra, it can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics due to its attractive and unusual treatment of fundamental topics. A set of well-written exercises at the end of each section allows new ideas to be instantly tested and reinforced.

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