Geometry I

Geometry I Author Marcel Berger
ISBN-10 3540116583
Release 1987
Pages 432
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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.


Geometry Author Michele Audin
ISBN-10 3540434984
Release 2003
Pages 357
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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.

Edmund Husserl s Origin of Geometry

Edmund Husserl s Origin of Geometry Author Jacques Derrida
ISBN-10 0803265808
Release 1978
Pages 205
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Edmund Husserl's Origin of Geometry": An Introduction (1962) is Jacques Derrida's earliest published work. In this commentary-interpretation of the famous appendix to Husserl's The Crisis of European Sciences and Transcendental Phenomenology, Derrida relates writing to such key concepts as differing, consciousness, presence, and historicity. Starting from Husserl's method of historical investigation, Derrida gradually unravels a deconstructive critique of phenomenology itself, which forms the foundation for his later criticism of Western metaphysics as a metaphysics of presence. The complete text of Husserl's Origin of Geometry is included.

Topology and Geometry

Topology and Geometry Author Glen E. Bredon
ISBN-10 9781475768480
Release 2013-03-09
Pages 131
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This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS

The Four Pillars of Geometry

The Four Pillars of Geometry Author John Stillwell
ISBN-10 9780387255309
Release 2005-08-09
Pages 228
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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 Author Serge Lang
ISBN-10 3540966544
Release 1988
Pages 394
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Geometry has been writing in one form or another for most of life. You can find so many inspiration from Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Geometry book for free.

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads Author Evan Chen
ISBN-10 9780883858394
Release 2016-05-02
Pages 311
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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.

Elements of geometry

Elements of geometry Author Thomas Simpson
ISBN-10 UOM:39015063897451
Release 1760
Pages 276
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Elements of geometry has been writing in one form or another for most of life. You can find so many inspiration from Elements of geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of geometry book for free.

Geometry of Surfaces

Geometry of Surfaces Author John Stillwell
ISBN-10 0387977430
Release 1992
Pages 216
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This text intends to provide the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. The geometry of surfaces is an ideal starting point for students learning geometry for the following reasons; first, the extensions offer the simplest possible introduction to fundamentals of modern geometry: curvature, group actions and covering spaces. Second, the prerequisites are modest and standard and include only a little linear algebra, calculus, basic group theory and basic topology. Third and most important, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. They realize all the topological types of compact two-dimensional manifolds, and historically, they are the source of the main concepts of complex analysis, differential geometry, topology, and combinatorial group theory, as well as such hot topics as fractal geometry and string theory. The formal coverage is extended by exercises and informal discussions throughout the text.


Geometry Author Roger Fenn
ISBN-10 1852330589
Release 2001-01-01
Pages 313
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Introduces readers to the major geometrical topics taught at undergraduate level. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them.

Barron s E Z Geometry

Barron s E Z Geometry Author Lawrence S. Leff
ISBN-10 0764139185
Release 2009
Pages 497
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Explains the principles of plane geometry and includes practice exercises and model problems.

Let s Review

Let s Review Author Lawrence S. Leff
ISBN-10 0764140698
Release 2008
Pages 431
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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

Architecture and Geometry in the Age of the Baroque

Architecture and Geometry in the Age of the Baroque Author George L. Hersey
ISBN-10 9780226327839
Release 2000
Pages 273
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The age of the Baroque—a time when great strides were made in science and mathematics—witnessed the construction of some of the world's most magnificent buildings. What did the work of great architects such as Bernini, Blondel, Guarini, and Wren have to do with Descartes, Galileo, Kepler, Desargues, and Newton? Here, George Hersey explores the ways in which Baroque architecture, with its dramatic shapes and playful experimentation with classical forms, reflects the scientific thinking of the time. He introduces us to a concept of geometry that encompassed much more than the science we know today, one that included geometrics (number and shape games), as well as the art of geomancy, or magic and prophecy using shapes and numbers. Hersey first concentrates on specific problems in geometry and architectural design. He then explores the affinities between musical chords and several types of architectural form. He turns to advances in optics, such as artificial lenses and magic lanterns, to show how architects incorporated light, a heavenly emanation, into their impressive domes. With ample illustrations and lucid, witty language, Hersey shows how abstract ideas were transformed into visual, tactile form—the epicycles of the cosmos, the sexual mystique surrounding the cube, and the imperfections of heavenly bodies. Some two centuries later, he finds that the geometric principles of the Baroque resonate, often unexpectedly, in the work of architects such as Frank Lloyd Wright and Le Corbusier. A discussion of these surprising links to the past rounds out this brilliant reexamination of some of the long-forgotten beliefs and practices that helped produce some of Europe's greatest masterpieces.

Geometry and Topology

Geometry and Topology Author Miles Reid
ISBN-10 052184889X
Release 2005-11-10
Pages 196
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Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples. The treatment emphasises coordinate systems and the coordinate changes that generate symmetries. The discussion moves from Euclidean to non-Euclidean geometries, including spherical and hyperbolic geometry, and then on to affine and projective linear geometries. Group theory is introduced to treat geometric symmetries, leading to the unification of geometry and group theory in the Erlangen program. An introduction to basic topology follows, with the Möbius strip, the Klein bottle and the surface with g handles exemplifying quotient topologies and the homeomorphism problem. Topology combines with group theory to yield the geometry of transformation groups,having applications to relativity theory and quantum mechanics. A final chapter features historical discussions and indications for further reading. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with a wide supply of exercises. Further teaching material is available for teachers via the web, including assignable problem sheets with solutions.

Elements of Geometry

Elements of Geometry   Author Adrien Marie Legendre
ISBN-10 NYPL:33433069096687
Release 1825
Pages 224
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Elements of Geometry has been writing in one form or another for most of life. You can find so many inspiration from Elements of Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of Geometry book for free.

Geometry of Subanalytic and Semialgebraic Sets

Geometry of Subanalytic and Semialgebraic Sets Author Masahiro Shiota
ISBN-10 0817640002
Release 1997
Pages 431
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Subanalytic and semialgebraic sets were introduced for topological and systematic investigations of real analytic and algebraic sets. One of the author's purposes is to show that almost all (known and unknown) properties of subanalytic and semialgebraic sets follow abstractly from some fundamental axioms. Another is to develop methods of proof that use finite processes instead of integration of vector fields. The proofs are elementary, but the results obtained are new and significant - for example, for singularity theorists and topologists. Further, the new methods and tools developed provide solid foundations for further research by model theorists (logicians) who are interested in applications of model theory to geometry. A knowledge of basic topology is required.

18 Theorems of Geometry

18 Theorems of Geometry Author William Smith
ISBN-10 9781450090391
Release 2010-06-01
Pages 102
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18 Theorems of Geometry has been writing in one form or another for most of life. You can find so many inspiration from 18 Theorems of Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full 18 Theorems of Geometry book for free.