Advanced Euclidean Geometry

Advanced Euclidean Geometry

Author: Roger A. Johnson

Publisher: Courier Corporation

Published: 2013-01-08

Total Pages: 338

ISBN-13: 048615498X

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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.


Euclid's Elements

Euclid's Elements

Author: Euclid

Publisher:

Published: 2002

Total Pages: 544

ISBN-13:

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"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.


Modern Geometries

Modern Geometries

Author: Michael Henle

Publisher: Pearson

Published: 2001

Total Pages: 404

ISBN-13:

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Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.


Principles of Geometry

Principles of Geometry

Author: H. F. Baker

Publisher: Cambridge University Press

Published: 2010-10-31

Total Pages: 204

ISBN-13: 1108017770

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A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.


Newton's Principia for the Common Reader

Newton's Principia for the Common Reader

Author: Subrahmanyan Chandrasekhar

Publisher: Oxford University Press

Published: 2003

Total Pages: 621

ISBN-13: 019852675X

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Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which wehave explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law ofgravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty,clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at theUniversity of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties offluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984).His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profoundadmiration for a scientist whose work he believed is unsurpassed, and unsurpassable.


Problems and Solutions in Euclidean Geometry

Problems and Solutions in Euclidean Geometry

Author: M. N. Aref

Publisher: Courier Corporation

Published: 2010-01-01

Total Pages: 274

ISBN-13: 0486477207

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Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.