Introduction to the Geometry of Complex Numbers

Introduction to the Geometry of Complex Numbers
Author: Roland Deaux
Publisher: Courier Corporation
Total Pages: 211
Release: 2008-03-05
Genre: Mathematics
ISBN: 0486466299

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.

Geometry of Complex Numbers

Geometry of Complex Numbers
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.

Complex Numbers and Geometry

Complex Numbers and Geometry
Author: Liang-shin Hahn
Publisher: American Mathematical Soc.
Total Pages: 204
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.

An Introduction to Complex Analysis and Geometry

An Introduction to Complex Analysis and Geometry
Author: John P. D'Angelo
Publisher: American Mathematical Soc.
Total Pages: 177
Release: 2010
Genre: Functions of complex variables
ISBN: 0821852744

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.

Algebraic Geometry over the Complex Numbers

Algebraic Geometry over the Complex Numbers
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.

Introduction to the Geometry of Complex Numbers

Introduction to the Geometry of Complex Numbers
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.

Complex Geometry

Complex Geometry
Author: Daniel Huybrechts
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2005
Genre: Computers
ISBN: 9783540212904

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
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

Visual Complex Analysis

Visual Complex Analysis
Author: Tristan Needham
Publisher: Oxford University Press
Total Pages: 620
Release: 1997
Genre: Mathematics
ISBN: 9780198534464

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.