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| Author | : Hans Schwerdtfeger |
| Publisher | : Courier Corporation |
| Total Pages | : 228 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486135861 |
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
| Author | : I. M. Yaglom |
| Publisher | : Academic Press |
| Total Pages | : 256 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 148326663X |
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 | : Liang-shin Hahn |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 192 |
| Release | : 2019-12-26 |
| Genre | : Education |
| ISBN | : 1470451824 |
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 | : Donu Arapura |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 326 |
| Release | : 2012-02-15 |
| Genre | : Mathematics |
| ISBN | : 1461418097 |
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 |
| Total Pages | : 336 |
| Release | : 2007-10-08 |
| Genre | : Mathematics |
| ISBN | : 0817644490 |
* 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 | : Roland Deaux |
| Publisher | : Courier Corporation |
| Total Pages | : 211 |
| Release | : 2013-01-23 |
| Genre | : Mathematics |
| ISBN | : 0486158047 |
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 | : Hans Schwerdtfeger |
| Publisher | : Courier Corporation |
| Total Pages | : 228 |
| Release | : 1979-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486638300 |
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This book should be in every library, and every expert in classical function theory should be familiar with this material. The author has performed a distinct service by making this material so conveniently accessible in a single book." — Mathematical Review.
| Author | : H. Schwerdtfeger |
| Publisher | : |
| Total Pages | : |
| Release | : 1965 |
| Genre | : |
| ISBN | : |
| Author | : John Stillwell |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461206871 |
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.
| Author | : Alexander Ziwet |
| Publisher | : Palala Press |
| Total Pages | : 390 |
| Release | : 2016-04-26 |
| Genre | : |
| ISBN | : 9781354595138 |
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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
