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Lectures In Projective Geometry

Author: A. Seidenberg
Publisher: Courier Corporation
ISBN: 0486154734
Size: 40.64 MB
Format: PDF
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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.

Lectures On Analytic And Projective Geometry

Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486173526
Size: 33.61 MB
Format: PDF
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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.


Author: Michele Audin
Publisher: Springer Science & Business Media
ISBN: 3642561276
Size: 56.67 MB
Format: PDF, Kindle
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Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the nine-point circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding.

Dynamics Statistics And Projective Geometry Of Galois Fields

Author: V. I. Arnold
Publisher: Cambridge University Press
ISBN: 1139493442
Size: 64.76 MB
Format: PDF, ePub, Docs
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V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

Foundations Of Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486472140
Size: 50.17 MB
Format: PDF, ePub, Mobi
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Explains geometric theories and shows many examples.

Geometric Algebra

Author: Emil Artin
Publisher: Courier Dover Publications
ISBN: 048680920X
Size: 38.26 MB
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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.

Differential Geometry

Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 9780486667218
Size: 77.83 MB
Format: PDF
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Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Differential Geometry

Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 0486157202
Size: 77.92 MB
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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.

Algebraic Geometry

Author: Solomon Lefschetz
Publisher: Courier Corporation
ISBN: 0486154726
Size: 12.88 MB
Format: PDF, ePub
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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.

Geometri Eskie Svojstva Krivyh Vtorogo Por Dka

Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Size: 44.91 MB
Format: PDF
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"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.