Geometry: A Comprehensive Course


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category: Mathematics
Page: 464
View: 5702

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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.

Geometry

A Comprehensive Course
Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 9780486658124
Category: Mathematics
Page: 449
View: 4094

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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.

A Modern View of Geometry


Author: Leonard M. Blumenthal
Publisher: Courier Dover Publications
ISBN: 0486821137
Category: Mathematics
Page: 208
View: 8383

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Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

Excursions in Geometry


Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 0486265307
Category: Mathematics
Page: 178
View: 7710

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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.

Linear Algebra and Geometry

A Second Course
Author: Irving Kaplansky
Publisher: Courier Corporation
ISBN: 9780486432335
Category: Mathematics
Page: 143
View: 8514

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The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.

Advanced Euclidean Geometry


Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Category: Mathematics
Page: 336
View: 8197

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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.

A Vector Space Approach to Geometry


Author: Melvin Hausner
Publisher: Courier Corporation
ISBN: 0486137856
Category: Mathematics
Page: 416
View: 4573

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This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.

Introduction to Projective Geometry


Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486141705
Category: Mathematics
Page: 576
View: 5878

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This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.

Foundations of Geometry


Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486472140
Category: Education
Page: 338
View: 4910

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Explains geometric theories and shows many examples.

College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle
Author: Nathan Altshiller-Court
Publisher: Courier Corporation
ISBN: 0486141373
Category: Mathematics
Page: 336
View: 2398

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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.

Invitation to Geometry


Author: Z. A. Melzak
Publisher: Courier Corporation
ISBN: 0486789489
Category: Mathematics
Page: 240
View: 3673

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Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.

Projective Geometry


Author: T. Ewan Faulkner
Publisher: Courier Corporation
ISBN: 0486154890
Category: Mathematics
Page: 144
View: 3115

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Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.

Lectures on Analytic and Projective Geometry


Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486173526
Category: Mathematics
Page: 304
View: 1582

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This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.

Fundamental Concepts of Geometry


Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 048615226X
Category: Mathematics
Page: 336
View: 8742

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Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Problems and Solutions in Euclidean Geometry


Author: M. N. Aref,William Wernick
Publisher: Courier Corporation
ISBN: 0486477207
Category: Mathematics
Page: 258
View: 7227

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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.

Algebraic Geometry


Author: Solomon Lefschetz
Publisher: Courier Corporation
ISBN: 0486154726
Category: Mathematics
Page: 256
View: 8528

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An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

The Gentle Art of Mathematics


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486164063
Category: Science
Page: 160
View: 6803

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This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.

Solid Analytic Geometry


Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
ISBN: 0486814688
Category: Mathematics
Page: 176
View: 9219

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Concise text covers basics of solid analytic geometry and provides ample material for a one-semester course. Additional chapters on spherical coordinates and projective geometry suitable for longer courses or supplementary study. 1949 edition.

A First Course in Geometry


Author: Edward T Walsh
Publisher: Courier Corporation
ISBN: 048679668X
Category: Mathematics
Page: 400
View: 4022

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Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

Linear Geometry


Author: Rafael Artzy
Publisher: N.A
ISBN: 9780486466279
Category: Mathematics
Page: 273
View: 1089

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Most linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. It begins by using the complex number plane as an introduction to a variety of transformations and their groups in the Euclidean plane, explaining algebraic concepts as they arise. A brief account of Poincaré's model of the hyperbolic plane and its transformation group follow. Succeeding chapters contain a systematic treatment of affine, Euclidean, and projective spaces over fields that emphasizes transformations and their groups, along with an outline of results involving other geometries. An examination of the foundations of geometry starts from rudimentary projective incidence planes, then gradually adjoins axioms and develops various non-Desarguesian, Desarguesian, and Pappian planes, their corresponding algebraic structures, and their collineation groups. The axioms of order, continuity, and congruence make their appearance and lead to Euclidean and non-Euclidean planes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups.