Coordinate Geometry


Author: Luther Pfahler Eisenhart
Publisher: Courier Corporation
ISBN: 0486442616
Category: Mathematics
Page: 298
View: 9019

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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.

The Method of Coordinates


Author: I. M. Gelfand,E. G. Glagoleva,A. A. Kirillov
Publisher: Courier Corporation
ISBN: 9780486425658
Category: Mathematics
Page: 80
View: 3150

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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 Modern View of Geometry


Author: Leonard M. Blumenthal
Publisher: Courier Dover Publications
ISBN: 0486821137
Category: Mathematics
Page: 208
View: 1470

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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.

Lectures on Analytic and Projective Geometry


Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486173526
Category: Mathematics
Page: 304
View: 2839

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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.

Geometry: A Comprehensive Course


Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category: Mathematics
Page: 464
View: 7829

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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.

Lectures in Projective Geometry


Author: A. Seidenberg
Publisher: Courier Corporation
ISBN: 0486154734
Category: Mathematics
Page: 240
View: 6423

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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.

Advanced Euclidean Geometry


Author: Roger A. Johnson
Publisher: Courier Corporation
ISBN: 048615498X
Category: Mathematics
Page: 336
View: 4996

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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.

Vector Geometry


Author: Gilbert de B. Robinson
Publisher: Courier Corporation
ISBN: 0486321045
Category: Mathematics
Page: 192
View: 3461

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Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

Introduction to Projective Geometry


Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486141705
Category: Mathematics
Page: 576
View: 8138

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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.

A First Course in Geometry


Author: Edward T Walsh
Publisher: Courier Corporation
ISBN: 048679668X
Category: Mathematics
Page: 400
View: 3058

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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.

Solid Analytic Geometry


Author: Abraham Adrian Albert
Publisher: Courier Dover Publications
ISBN: 0486814688
Category: Mathematics
Page: 176
View: 8745

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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: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Category: Mathematics
Page: 400
View: 5977

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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Technical Calculus with Analytic Geometry


Author: Peter Kuhfittig
Publisher: Cengage Learning
ISBN: 1133945198
Category: Mathematics
Page: 544
View: 4980

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Written for today’s technology student, TECHNICAL CALCULUS WITH ANALYTIC GEOMETRY prepares you for your future courses! With an emphasis on applications, this mathematics text helps you learn calculus skills that are particular to technology. Clear presentation of concepts, detailed examples, marginal annotations, and step-by-step procedures enhance your understanding of difficult concepts. Notations that are frequently encountered in technology are used throughout to help you prepare for further courses in your career. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Projective Geometry


Author: T. Ewan Faulkner
Publisher: Courier Corporation
ISBN: 0486154890
Category: Mathematics
Page: 144
View: 1268

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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.

A Vector Space Approach to Geometry


Author: Melvin Hausner
Publisher: Courier Corporation
ISBN: 0486137856
Category: Mathematics
Page: 416
View: 2713

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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.

Analytical Conics


Author: Barry Spain
Publisher: Courier Corporation
ISBN: 0486457737
Category: Mathematics
Page: 145
View: 9864

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This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments. The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.

Geometry of Classical Fields


Author: Ernst Binz,Jedrzej Sniatycki
Publisher: Courier Corporation
ISBN: 0486150445
Category: Mathematics
Page: 480
View: 5532

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A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.

Analytical Geometry of Three Dimensions


Author: William H. McCrea
Publisher: Courier Corporation
ISBN: 0486154882
Category: Mathematics
Page: 160
View: 8889

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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.

Tensors, Differential Forms, and Variational Principles


Author: David Lovelock,Hanno Rund
Publisher: Courier Corporation
ISBN: 048613198X
Category: Mathematics
Page: 400
View: 3446

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.