Coordinate Geometry


Author: Luther Pfahler Eisenhart
Publisher: Courier Corporation
ISBN: 0486442616
Category: Mathematics
Page: 298
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A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.

Solid Analytic Geometry


Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
ISBN: 0486814688
Category: Mathematics
Page: 176
View: 9934

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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.

Differential Geometry


Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 0486318621
Category: Mathematics
Page: 384
View: 1255

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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.

Analytical Geometry of Three Dimensions


Author: William H. McCrea
Publisher: Courier Corporation
ISBN: 0486154882
Category: Mathematics
Page: 160
View: 5182

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Geared toward advanced undergraduates and graduate students, this text covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations, quadric in Cartesian coordinates, and intersection of quadrics. 1947 edition.

History of Analytic Geometry


Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486154513
Category: Mathematics
Page: 304
View: 8459

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This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Geometry: A Comprehensive Course


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category: Mathematics
Page: 464
View: 2035

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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.

The Method of Coordinates


Author: I. M. Gelfand,E. G. Glagoleva,A. A. Kirillov
Publisher: Courier Corporation
ISBN: 9780486425658
Category: Mathematics
Page: 80
View: 9669

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Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.

A New Look at Geometry


Author: Irving Adler
Publisher: Courier Corporation
ISBN: 0486320499
Category: Mathematics
Page: 416
View: 6996

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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.

Lectures on Classical Differential Geometry


Author: Dirk Jan Struik
Publisher: Courier Corporation
ISBN: 9780486656090
Category: Mathematics
Page: 232
View: 1025

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Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

A First Course in Geometry


Author: Edward T Walsh
Publisher: Courier Corporation
ISBN: 0486780201
Category: Mathematics
Page: 400
View: 1046

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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.

Geometry of Complex Numbers


Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 0486135861
Category: Mathematics
Page: 224
View: 9529

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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Elementary Mathematics from an Advanced Standpoint

Geometry
Author: Felix Klein
Publisher: Courier Corporation
ISBN: 0486167410
Category: Mathematics
Page: 224
View: 6919

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This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.

Differentialgeometrie von Kurven und Flächen


Author: Manfredo P. do Carmo
Publisher: Springer-Verlag
ISBN: 3322850722
Category: Technology & Engineering
Page: 263
View: 8048

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Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang

Geometry and Symmetry


Author: Paul B. Yale
Publisher: Courier Corporation
ISBN: 0486169324
Category: Mathematics
Page: 288
View: 4542

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DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div

Projective Geometry and Projective Metrics


Author: Herbert Busemann,Paul J. Kelly
Publisher: Courier Corporation
ISBN: 0486154696
Category: Mathematics
Page: 352
View: 9917

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This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.

Fundamental Concepts of Geometry


Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 048615226X
Category: Mathematics
Page: 336
View: 9937

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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.

Rudiments of Algebraic Geometry


Author: W.E. Jenner
Publisher: Courier Dover Publications
ISBN: 0486818063
Category: Mathematics
Page: 112
View: 6356

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Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.

An Introduction to Mathematics


Author: Alfred North Whitehead
Publisher: Courier Dover Publications
ISBN: 0486813665
Category: Mathematics
Page: 176
View: 972

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Originally published: New York: Henry Holt & Company, 1911.

Lectures in Projective Geometry


Author: A. Seidenberg
Publisher: Courier Corporation
ISBN: 0486154734
Category: Mathematics
Page: 240
View: 3778

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An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.