A New Look at Geometry

Author: Irving Adler
Publisher: Courier Corporation
ISBN: 0486320499
Format: PDF, Docs
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Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

Geometry A Comprehensive Course

Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Format: PDF, Docs
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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.

Advanced Euclidean Geometry

Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Format: PDF, ePub, Mobi
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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.

Methods for Euclidean Geometry

Author: Owen Byer
Publisher: MAA
ISBN: 0883857634
Format: PDF, Mobi
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Methods for Euclidean Geometry explores one of the oldest and most beautiful of mathematical subjects. The book begins with a thorough presentation of classical solution methods for plane geometry problems, but its distinguishing feature is the subsequent collection of methods which have appeared since 1600. For example, the coordinate method, which is a central part of the book, has been part of mathematics for four centuries. However, it has rarely served as a tool that students consider using when faced with geometry problems. The same holds true regarding the use of trigonometry, vectors, complex numbers, and transformations. The book presents each of these as self-contained topics, providing examples of their applications to geometry problems. Both strengths and weaknesses of various methods, as well as the ranges of their effective applications, are discussed. Importance is placed on the problems and their solutions. The book contains numerous problems of varying difficulty; over a third of its contents are devoted to problem statements, hints, and complete solutions. The book can be used as a textbook for geometry courses; as a source book for geometry and other mathematics courses; for capstone, problem-solving, and enrichment courses; and for independent study courses.

Excursions in Geometry

Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Format: PDF, ePub, Mobi
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Foundations of Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486472140
Format: PDF, Mobi
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Explains geometric theories and shows many examples.

Differential Geometry

Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
Format: PDF
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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.

Curvature in Mathematics and Physics

Author: Shlomo Sternberg
Publisher: Courier Corporation
ISBN: 0486292711
Format: PDF, Mobi
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Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

College Geometry

Author: Nathan Altshiller-Court
Publisher: Courier Corporation
ISBN: 0486141373
Format: PDF, ePub, Mobi
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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
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.