Complex Numbers in Geometry
Complex Numbers in Geometry

Author: I. M. Yaglom

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 256

ISBN-13: 148326663X

DOWNLOAD EBOOK

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
Geometry of Complex Numbers

Author: Hans Schwerdtfeger

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 228

ISBN-13: 0486135861

DOWNLOAD EBOOK

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

Complex Numbers and Geometry
Complex Numbers and Geometry

Author: Liang-shin Hahn

Publisher: American Mathematical Soc.

Published: 2019-12-26

Total Pages: 204

ISBN-13: 1470451824

DOWNLOAD EBOOK

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
Algebraic Geometry over the Complex Numbers

Author: Donu Arapura

Publisher: Springer Science & Business Media

Published: 2012-02-15

Total Pages: 326

ISBN-13: 1461418097

DOWNLOAD EBOOK

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
Numbers and Geometry

Author: John Stillwell

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 348

ISBN-13: 1461206871

DOWNLOAD EBOOK

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.

Complex Geometry
Complex Geometry

Author: Daniel Huybrechts

Publisher: Springer Science & Business Media

Published: 2005

Total Pages: 336

ISBN-13: 9783540212904

DOWNLOAD EBOOK

Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Complex Numbers from A to ...Z
Complex Numbers from A to ...Z

Author: Titu Andreescu

Publisher: Springer Science & Business Media

Published: 2007-10-08

Total Pages: 336

ISBN-13: 0817644490

DOWNLOAD EBOOK

* 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

An Introduction to Complex Analysis and Geometry
An Introduction to Complex Analysis and Geometry

Author: John P. D'Angelo

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 177

ISBN-13: 0821852744

DOWNLOAD EBOOK

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.

Introduction to the Geometry of Complex Numbers
Introduction to the Geometry of Complex Numbers

Author: Roland Deaux

Publisher: Courier Corporation

Published: 2013-01-23

Total Pages: 211

ISBN-13: 0486158047

DOWNLOAD EBOOK

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.

Visual Complex Analysis
Visual Complex Analysis

Author: Tristan Needham

Publisher: Oxford University Press

Published: 1997

Total Pages: 620

ISBN-13: 9780198534464

DOWNLOAD EBOOK

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.