A Contemporary Approach to Classical Geometry

A Contemporary Approach to Classical Geometry PDF Author: Walter Prenowitz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 84

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Book Description

A Contemporary Approach to Classical Geometry

A Contemporary Approach to Classical Geometry PDF Author: Walter Prenowitz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 84

Get Book Here

Book Description


A Contemporary Approach to Classical Geometry

A Contemporary Approach to Classical Geometry PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


A Survey of Classical and Modern Geometries

A Survey of Classical and Modern Geometries PDF Author: Arthur Baragar
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 392

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Book Description
This book emphasizes the beauty of geometry using a modern approach. Models & computer exercises help readers to cultivate geometric intuition. Topics include Euclidean Geometry, Hand Constructions, Geometer's Sketch Pad, Hyperbolic Geometry, Tilings & Lattices, Spherical Geometry, Projective Geometry, Finite Geometry, and Modern Geometry Research. Ideal for geometry at an intermediate level.

Classical Algebraic Geometry

Classical Algebraic Geometry PDF Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653

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Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

Euclidean and Non-Euclidean Geometry International Student Edition

Euclidean and Non-Euclidean Geometry International Student Edition PDF Author: Patrick J. Ryan
Publisher: Cambridge University Press
ISBN: 0521127076
Category : Mathematics
Languages : en
Pages : 237

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Book Description
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Classical Geometry

Classical Geometry PDF Author: I. E. Leonard
Publisher: John Wiley & Sons
ISBN: 1118679199
Category : Mathematics
Languages : en
Pages : 501

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Book Description
Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.

Classical Dynamics

Classical Dynamics PDF Author: Jorge V. José
Publisher: Cambridge University Press
ISBN: 9780521636360
Category : Science
Languages : en
Pages : 702

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Book Description
A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.

Classical Geometries in Modern Contexts

Classical Geometries in Modern Contexts PDF Author: Walter Benz
Publisher: Springer Science & Business Media
ISBN: 3764385413
Category : Mathematics
Languages : en
Pages : 286

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Book Description
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. Designed as a two term graduate course, the book helps students to understand great ideas of classical geometries in a modern and general context. A real benefit is the dimension-free approach to important geometrical theories. The only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.

Advanced Euclidean Geometry

Advanced Euclidean Geometry PDF Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Category : Mathematics
Languages : en
Pages : 338

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Book Description
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Classical Geometry

Classical Geometry PDF Author: Steve Pomerantz
Publisher: Xlibris Corporation
ISBN: 1796083461
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Sacred geometry is at the heart of a thousand years of art and architecture as represented in mosques, temples and churches around the world. Stunning in their search of perfection amid countless symmetries the art achieves a beauty inspired by its divine motivations. On a more practical side, sacred art represents an excellent application of the principles of geometry as illustrated by Euclid in the Elements. Countless constructions and theorems first discovered by the ancient Greek mathematicians are carefully merged with craftsmanship to produce murals, paintings and mosaics of infinite variety. This book grew out of a set of workshops done primarily through the Monterey Bay Area Math Project over the last several years. The book begins with a discussion of compass-straightedge constructions of polygons and the variety of regular and semi-regular tilings. The Polygon-in-Contact method as initially documented in the Topkapi Scrolls and further developed by contemporary scholars and artists is introduced as a method of generating traditional Islamic Geometric patterns. Many examples are illustrated with varying degrees of complexity suitable for all age groups. In addition to developing traditional patterns, the methods shown illustrate areas of generalization constrained only by students imagination.