geometry

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Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 41. 76 MB
Format : PDF
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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.

Geometry

Author : Michele Audin
ISBN : 3540434984
Genre : Mathematics
File Size : 67. 41 MB
Format : PDF
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Geometry, an ancient field of mathematical study, remains unfamiliar to many students. Michèle Audin's book remedies this, starting from linear algebra, explores 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 more, proving each property and including illustrative examples and exercises. Precise hints for exercises are provided at the end of the book.

Geometry

Author : Serge Lang
ISBN : 3540966544
Genre : Geometrie
File Size : 73. 10 MB
Format : PDF
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Geometry I

Author : Marcel Berger
ISBN : 3540116583
Genre : Mathematics
File Size : 76. 39 MB
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The first part of a two-volume text providing a readable and lively presentation of large parts of geometry in the classical sense, this book appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures.

Barron S E Z Geometry

Author : Lawrence S. Leff
ISBN : 0764139185
Genre : Mathematics
File Size : 82. 70 MB
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Explains the principles of plane geometry and includes practice exercises and model problems.

Geometry

Author : David A. Brannan
ISBN : 9781139503709
Genre : Mathematics
File Size : 63. 34 MB
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This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Let S Review

Author : Lawrence S. Leff
ISBN : 0764140698
Genre : Mathematics
File Size : 78. 81 MB
Format : PDF
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(back cover) An ideal companion to high school geometry textbooks, this volume covers all topics prescribed by the New York State Board of Regents for the new Geometry exam. For Students: Easy-to-read topic summaries Step-by-step demonstration examples Review of all required Geometry topics Hundreds of exercises with answers for practice and review Glossary of Geometry terms In-depth Regents exam preparation, including problems similar to those you'll find on the actual Regents exam For Teachers: A valuable lesson-planning aid A helpful source of practice and test questions

The Four Pillars Of Geometry

Author : John Stillwell
ISBN : 9780387255309
Genre : Mathematics
File Size : 66. 67 MB
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This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Geometry Euclid And Beyond

Author : Robin Hartshorne
ISBN : 9780387226767
Genre : Mathematics
File Size : 80. 79 MB
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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Geometry Of The Quintic

Author : Jerry Shurman
ISBN : 0471130176
Genre : Mathematics
File Size : 44. 57 MB
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A chance for students to apply a wide range of mathematics to an engaging problem This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem––solving the quintic. The problem is approached from two directions: the first is Felix Klein′s nineteenth–century approach, using the icosahedron. The second approach presents recent works of Peter Doyle and Curt McMullen, which update Klein′s use of transcendental functions to a solution through pure iteration. Filling a pedagogical gap in the literature and providing a solid platform from which to address more advanced material, this meticulously written book: ∗ Develops the Riemann sphere and its field of functions, classifies the finite groups of its automorphisms, computes for each such group a generator of the group–invariant functions, and discusses algebraic aspects of inverting this generator ∗ Gives, in the case of the icosahedral group, an elegant presentation of the relevant icosahedral geometry and its relation to the Brioschi quintic ∗ Reduces the general quintic to Brioschi form by radicals ∗ Proves Kronecker′s theorem that an "auxiliary" square root is necessary for any such reduction ∗ Expounds Doyle and McMullen′s development of an iterative solution to the quintic ∗ Provides a wealth of exercises and illustrations to clarify the geometry of the quintic

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