Linear Algebra and Projective Geometry

Author: Reinhold Baer
Publisher: Courier Corporation
ISBN: 9780486154664
Release Date: 2012-06-11
Genre: Mathematics

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.

Rudiments of Algebraic Geometry

Author: W.E. Jenner
Publisher: Courier Dover Publications
ISBN: 9780486818061
Release Date: 2018-01-16
Genre: Mathematics

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.

Linear Algebra and Geometry

Author: Irving Kaplansky
Publisher: Courier Corporation
ISBN: 0486432335
Release Date: 1974
Genre: Mathematics

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.

Lectures in Projective Geometry

Author: A. Seidenberg
Publisher: Courier Corporation
ISBN: 9780486154732
Release Date: 2012-06-14
Genre: Mathematics

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.

Geometric Algebra

Author: Emil Artin
Publisher: Courier Dover Publications
ISBN: 9780486809205
Release Date: 2016-01-20
Genre: Mathematics

This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

An Introduction to Linear Algebra and Tensors

Author: M. A. Akivis
Publisher: Courier Corporation
ISBN: 9780486148786
Release Date: 2012-07-25
Genre: Mathematics

Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Lectures on Analytic and Projective Geometry

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 9780486173528
Release Date: 2014-03-05
Genre: Mathematics

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.

Introduction to Projective Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 9780486141701
Release Date: 2011-09-12
Genre: Mathematics

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.

Geometry A Comprehensive Course

Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 9780486131733
Release Date: 2013-04-02
Genre: Mathematics

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.

Linear Geometry

Author: Rafael Artzy
Publisher:
ISBN: 0486466272
Release Date: 2008
Genre: Mathematics

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.

Projective Geometry

Author: T. Ewan Faulkner
Publisher: Courier Corporation
ISBN: 9780486154893
Release Date: 2013-02-20
Genre: Mathematics

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.

Linear Algebra

Author: Georgi? Evgen?evich Shilov
Publisher: Courier Corporation
ISBN: 048663518X
Release Date: 1977
Genre: Mathematics

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Vector Geometry

Author: Gilbert de B. Robinson
Publisher: Courier Corporation
ISBN: 9780486321042
Release Date: 2013-10-10
Genre: Mathematics

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.

Linear Algebra

Author: Sterling K. Berberian
Publisher: Courier Corporation
ISBN: 9780486780559
Release Date: 2014-07-16
Genre: Mathematics

Introductory treatment covers basic theory of vector spaces and linear maps — dimension, determinants, eigenvalues, and eigenvectors — plus more advanced topics such as the study of canonical forms for matrices. 1992 edition.

Matrices and Linear Transformations

Author: Charles G. Cullen
Publisher: Courier Corporation
ISBN: 0486663280
Release Date: 1990
Genre: Mathematics

Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.