Methods of Geometry

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118031032
Total Pages : 486 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Methods of Geometry by : James T. Smith

Download or read book Methods of Geometry written by James T. Smith and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.

Methods for Euclidean Geometry

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0883857634
Total Pages : 461 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Methods for Euclidean Geometry by : Owen Byer

Download or read book Methods for Euclidean Geometry written by Owen Byer and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.

The Method of Coordinates

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Publisher : Courier Corporation
ISBN 13 : 9780486425658
Total Pages : 82 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis The Method of Coordinates by : I. M. Gelfand

Download or read book The Method of Coordinates written by I. M. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-part treatment begins with discussions of coordinates of points on a line, coordinates of points in a plane, and coordinates of points in space. Part two examines geometry as an aid to calculation and peculiarities of four-dimensional space. Abundance of ingenious problems — includes solutions, answers, and hints. 1967 edition.

Methods for Euclidean Geometry

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486847268
Total Pages : 576 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Methods for Euclidean Geometry by : Owen Byer

Download or read book Methods for Euclidean Geometry written by Owen Byer and published by Courier Dover Publications. This book was released on 2021-05-19 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book explores the application of a broad range of mathematical techniques to the solution of Euclidean problems"--

Methods of Information Geometry

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821843024
Total Pages : 220 pages
Book Rating : 4.8/5 (43 download)

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Book Synopsis Methods of Information Geometry by : Shun-ichi Amari

Download or read book Methods of Information Geometry written by Shun-ichi Amari and published by American Mathematical Soc.. This book was released on 2000 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, and convex analysis.

Geometry Civilized

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Author :
Publisher : Oxford University Press
ISBN 13 : 9780198506904
Total Pages : 344 pages
Book Rating : 4.5/5 (69 download)

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Book Synopsis Geometry Civilized by : J. L. Heilbron

Download or read book Geometry Civilized written by J. L. Heilbron and published by Oxford University Press. This book was released on 2000 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

Methods of Geometry

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780471251835
Total Pages : 510 pages
Book Rating : 4.2/5 (518 download)

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Book Synopsis Methods of Geometry by : James T. Smith

Download or read book Methods of Geometry written by James T. Smith and published by John Wiley & Sons. This book was released on 2000-01-10 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: * Ample exercises designed to promote effective problem-solvingstrategies * Insight into novel uses of Euclidean geometry * More than 300 figures accompanying definitions and proofs * A comprehensive and annotated bibliography * Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.

Method in Geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Method in Geometry by : John Charles Stone

Download or read book Method in Geometry written by John Charles Stone and published by . This book was released on 1904 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Machine Proofs in Geometry

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Publisher : World Scientific
ISBN 13 : 9789810215842
Total Pages : 490 pages
Book Rating : 4.2/5 (158 download)

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Book Synopsis Machine Proofs in Geometry by : Shang-Ching Chou

Download or read book Machine Proofs in Geometry written by Shang-Ching Chou and published by World Scientific. This book was released on 1994 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.

Method in Geometry

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Author :
Publisher : Forgotten Books
ISBN 13 : 9781330067154
Total Pages : 50 pages
Book Rating : 4.0/5 (671 download)

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Book Synopsis Method in Geometry by : John C. Stone

Download or read book Method in Geometry written by John C. Stone and published by Forgotten Books. This book was released on 2015-06-14 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Method in Geometry The author offers in this little monograph a brief outline of the method used in his class room. While many teachers no doubt have followed much the same course, it is offered with the hope that to some young teacher it may be a suggestion that will lead to more effective teaching. The monograph is a revision of a paper read before the Michigan Schoolmasters' Club, in April, 1902. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Method of Fluxions and Infinite Series

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Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.1/5 (3 download)

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Book Synopsis The Method of Fluxions and Infinite Series by : Isaac Newton

Download or read book The Method of Fluxions and Infinite Series written by Isaac Newton and published by . This book was released on 1736 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Methods and Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461301378
Total Pages : 584 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Geometric Methods and Applications by : Jean Gallier

Download or read book Geometric Methods and Applications written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

A History of Geometrical Methods

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Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A History of Geometrical Methods by : Julian Lowell Coolidge

Download or read book A History of Geometrical Methods written by Julian Lowell Coolidge and published by . This book was released on 1940 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Effective Methods in Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817635466
Total Pages : 524 pages
Book Rating : 4.6/5 (354 download)

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Book Synopsis Effective Methods in Algebraic Geometry by : Teo Mora

Download or read book Effective Methods in Algebraic Geometry written by Teo Mora and published by Springer Science & Business Media. This book was released on 1991 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Lack of Effectiveness in Semi-algebraic Geometry.- A simple constructive proof of Canonical Resolution of Singularities.- Local Membership Problems for Polynomial Ideals.- Un Algorithme pour le Calcul des Résultants.- On algorithms for real algebraic plane curves.- Duality methods for the membership problem.- Exemples d'ensembles de Points en Position Uniforme.- Efficient Algorithms and Bounds for Wu-Ritt Characteristic Sets.- Noetherian Properties and Growth of some Associative Algebras.- Codes and Elliptic Curves.- Algorithmes - disons rapides - pour la décomposition d'une variété algébrique en composantes irréductibles et équidimensionnelles.- Complexity of Solving Systems of Linear Equations over the Rings of Differential Operators.- Membership problem, Representation problem and the Computation of the Radical for one-dimensional Ideals.- On the Complexity of Zero-dimensional Algebraic Systems.- A Single Exponential Bound on the Complexity of Computing Gröbner Bases of Zero Dimensional Ideals.- Algorithms for a Multiple Algebraic Extension.- Elementary constructive theory of ordered fields.- Effective real Nullstellensatz and variants.- Algorithms for the Solution of Systems of Linear Equations in Commutative Rings.- Une conjecture sur les anneaux de Chow A(G, ?) renforcée par un calcul formel.- Construction de courbes de genre 2 à partir de leurs modules.- Computing Syzygies à la Gau?-Jordan.- The non-scalar Model of Complexity in Computational Geometry.- Géométrie et Interpretations Génériques, un Algorithme.- Canonical Bases: Relations with Standard Bases, Finiteness Conditions and Application to Tame Automorphisms.- The tangent cone algorithm and some applications to local algebraic geometry.- Effective Methods for Systems of Algebraic Partial Differential Equations.- Finding roots of equations involving functions defined by first order algebraic differential equations.- Some Effective Methods in the Openness of Loci for Cohen-Macaulay and Gorenstein Properties.- Sign determination on zero dimensional sets.- A Classification of Finite-dimensional Monomial Algebras.- An algorithm related to compactifications of adjoint groups.- Deciding Consistency of Systems of Polynomial in Exponent Inequalities in Subexponential Time.

Probabilistic Methods in Geometry, Topology and Spectral Theory

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470441454
Total Pages : 197 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Probabilistic Methods in Geometry, Topology and Spectral Theory by : Yaiza Canzani

Download or read book Probabilistic Methods in Geometry, Topology and Spectral Theory written by Yaiza Canzani and published by American Mathematical Soc.. This book was released on 2019-11-20 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the CRM Workshops on Probabilistic Methods in Spectral Geometry and PDE, held from August 22–26, 2016 and Probabilistic Methods in Topology, held from November 14–18, 2016 at the Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Probabilistic methods have played an increasingly important role in many areas of mathematics, from the study of random groups and random simplicial complexes in topology, to the theory of random Schrödinger operators in mathematical physics. The workshop on Probabilistic Methods in Spectral Geometry and PDE brought together some of the leading researchers in quantum chaos, semi-classical theory, ergodic theory and dynamical systems, partial differential equations, probability, random matrix theory, mathematical physics, conformal field theory, and random graph theory. Its emphasis was on the use of ideas and methods from probability in different areas, such as quantum chaos (study of spectra and eigenstates of chaotic systems at high energy); geometry of random metrics and related problems in quantum gravity; solutions of partial differential equations with random initial conditions. The workshop Probabilistic Methods in Topology brought together researchers working on random simplicial complexes and geometry of spaces of triangulations (with connections to manifold learning); topological statistics, and geometric probability; theory of random groups and their properties; random knots; and other problems. This volume covers recent developments in several active research areas at the interface of Probability, Semiclassical Analysis, Mathematical Physics, Theory of Automorphic Forms and Graph Theory.

Frobenius Splitting Methods in Geometry and Representation Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644059
Total Pages : 259 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Frobenius Splitting Methods in Geometry and Representation Theory by : Michel Brion

Download or read book Frobenius Splitting Methods in Geometry and Representation Theory written by Michel Brion and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.

Method in Geometry (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780332306773
Total Pages : 50 pages
Book Rating : 4.3/5 (67 download)

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Book Synopsis Method in Geometry (Classic Reprint) by : John C. Stone

Download or read book Method in Geometry (Classic Reprint) written by John C. Stone and published by Forgotten Books. This book was released on 2017-12 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Method in Geometry Most studies are taught for two purposes (i) for the facts which may be of practical value in daily life, or that one needs in order to be really intelli gent; (2) for the mental discipline to be obtained from acquiring these facts. In the broad sense this is true of geometry; the practical side of geometry, however, i'.a. The measurement of surfaces and volumes, is usually taken up in arithmetic under the head of Mensuration, before the formal study of geometry is begun. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.