lectures on analytic and projective geometry dover books on mathematics

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Lectures On Analytic And Projective Geometry

Author : Dirk J. Struik
ISBN : 9780486173528
Genre : Mathematics
File Size : 31. 92 MB
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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.

Lectures In Projective Geometry

Author : A. Seidenberg
ISBN : 9780486154732
Genre : Mathematics
File Size : 60. 56 MB
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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.

Vector Geometry

Author : Gilbert de B. Robinson
ISBN : 9780486321042
Genre : Mathematics
File Size : 79. 82 MB
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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.

Lectures On Analytic Differential Equations

Author : I͡U. S. Ilʹi͡ashenko
ISBN : 9780821836675
Genre : Mathematics
File Size : 54. 53 MB
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The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the more recent results surveyed in the text. The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. On several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.

Geometry

Author : Michele Audin
ISBN : 9783642561276
Genre : Mathematics
File Size : 73. 64 MB
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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.

Higher Geometry

Author : Frederick Woods
ISBN : 9781458500014
Genre : Reference
File Size : 62. 5 MB
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Lectures In Projective Geometry

Author : A. Seidenberg
ISBN : 9780486154732
Genre : Mathematics
File Size : 71. 88 MB
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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.

A New Look At Geometry

Author : Irving Adler
ISBN : 9780486320496
Genre : Mathematics
File Size : 57. 62 MB
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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 Ordinary Differential Equations

Author : Witold Hurewicz
ISBN : 9780486664200
Genre : Mathematics
File Size : 32. 22 MB
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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

Solid Analytic Geometry

Author : Abraham Adrian Albert
ISBN : 9780486814681
Genre : Mathematics
File Size : 26. 97 MB
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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.

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