Author : Roland Deaux
Publisher : Courier Corporation
Page : 211 pages
File Size : 37,60 MB
Release : 2008-03-05
Category : 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.
Author : Liang-shin Hahn
Publisher : American Mathematical Soc.
Page : 204 pages
File Size : 32,91 MB
Release : 2019-12-26
Category : 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 : Hans Schwerdtfeger
Publisher : Courier Corporation
Page : 228 pages
File Size : 27,47 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486135861
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
Author : John P. D'Angelo
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 35,66 MB
Release : 2010
Category : 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.
Author : Donu Arapura
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 25,67 MB
Release : 2012-02-15
Category : 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 : Roland Deaux
Publisher : Courier Corporation
Page : 211 pages
File Size : 21,29 MB
Release : 2013-01-23
Category : 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 : Titu Andreescu
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 34,10 MB
Release : 2007-10-08
Category : 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 : Daniel Huybrechts
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 15,13 MB
Release : 2005
Category : 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)
Author : C. R. Wylie
Publisher : Courier Corporation
Page : 578 pages
File Size : 10,97 MB
Release : 2011-09-12
Category : Mathematics
ISBN : 0486141705
This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.
Author : Tristan Needham
Publisher : Oxford University Press
Page : 620 pages
File Size : 14,31 MB
Release : 1997
Category : 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.
