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Geometry Of Complex Numbers

Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 0486135861
Size: 53.91 MB
Format: PDF, ePub, Mobi
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Introduction To The Geometry Of Complex Numbers

Author: Roland Deaux
Publisher: Courier Corporation
ISBN: 0486158047
Size: 47.45 MB
Format: PDF, Mobi
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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 Numbers And Geometry

Author: Liang-shin Hahn
Publisher: Cambridge University Press
ISBN: 9780883855102
Size: 69.99 MB
Format: PDF, Mobi
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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.

Introductory Complex Analysis

Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Size: 35.90 MB
Format: PDF, ePub, Docs
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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Algebraic Geometry Over The Complex Numbers

Author: Donu Arapura
Publisher: Springer Science & Business Media
ISBN: 1461418097
Size: 26.13 MB
Format: PDF, Kindle
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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.

Geometry A Comprehensive Course

Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Size: 30.42 MB
Format: PDF, ePub
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Calculus With Complex Numbers

Author: John B. Reade
Publisher: CRC Press
ISBN: 9780203417867
Size: 75.62 MB
Format: PDF, ePub
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This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical science, and engineering.

Famous Problems Of Geometry And How To Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Size: 58.12 MB
Format: PDF, Mobi
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.

Introduction To Modern Algebra And Matrix Theory

Author: O. Schreier
Publisher: Courier Corporation
ISBN: 0486278654
Size: 37.12 MB
Format: PDF
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This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.

Complex Numbers From A To Z

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817684158
Size: 27.21 MB
Format: PDF, ePub
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* 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