Introduction to the Geometry of N Dimensions

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Publisher : Courier Dover Publications
ISBN 13 : 0486842487
Total Pages : 224 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Introduction to the Geometry of N Dimensions by : D. M.Y. Sommerville

Download or read book Introduction to the Geometry of N Dimensions written by D. M.Y. Sommerville and published by Courier Dover Publications. This book was released on 2020-03-18 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic exploration of topics of perennial interest to geometers: fundamental ideas of incidence, parallelism, perpendicularity, angles between linear spaces, polytopes. Examines analytical geometry from projective and analytic points of view. 1929 edition.

A Course in the Geometry of N Dimensions

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Publisher : Courier Corporation
ISBN 13 : 0486439275
Total Pages : 82 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Course in the Geometry of N Dimensions by : Maurice G. Kendall

Download or read book A Course in the Geometry of N Dimensions written by Maurice G. Kendall and published by Courier Corporation. This book was released on 2004-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.

Geometry: A Comprehensive Course

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Publisher : Courier Corporation
ISBN 13 : 0486131734
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry: A Comprehensive Course by : Dan Pedoe

Download or read book Geometry: A Comprehensive Course written by Dan Pedoe and published by Courier Corporation. This book was released on 2013-04-02 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic Hyperbolic Geometry in N Dimensions

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Publisher : CRC Press
ISBN 13 : 1482236672
Total Pages : 623 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Analytic Hyperbolic Geometry in N Dimensions by : Abraham Albert Ungar

Download or read book Analytic Hyperbolic Geometry in N Dimensions written by Abraham Albert Ungar and published by CRC Press. This book was released on 2014-12-17 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the author crafted gyrolanguage, the algebraic language that sheds natural light on hyperbolic geometry and special relativity. Several authors have successfully employed the author’s gyroalgebra in their exploration for novel results. Françoise Chatelin noted in her book, and elsewhere, that the computation language of Einstein described in this book plays a universal computational role, which extends far beyond the domain of special relativity. This book will encourage researchers to use the author’s novel techniques to formulate their own results. The book provides new mathematical tools, such as hyperbolic simplexes, for the study of hyperbolic geometry in n dimensions. It also presents a new look at Einstein’s special relativity theory.

Geometry, Relativity and the Fourth Dimension

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Publisher : Courier Corporation
ISBN 13 : 0486140334
Total Pages : 159 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry, Relativity and the Fourth Dimension by : Rudolf Rucker

Download or read book Geometry, Relativity and the Fourth Dimension written by Rudolf Rucker and published by Courier Corporation. This book was released on 2012-06-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.

College Geometry

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Publisher : Dover Publications
ISBN 13 : 9780486788470
Total Pages : 336 pages
Book Rating : 4.7/5 (884 download)

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Book Synopsis College Geometry by : Nathan Altshiller-Court

Download or read book College Geometry written by Nathan Altshiller-Court and published by Dover Publications. This book was released on 2013-12-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

An Introduction to the Geometry of N Dimensions

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Publisher : Hassell Street Press
ISBN 13 : 9781013640193
Total Pages : 242 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis An Introduction to the Geometry of N Dimensions by : Duncan m'Laren Young 18 Sommerville

Download or read book An Introduction to the Geometry of N Dimensions written by Duncan m'Laren Young 18 Sommerville and published by Hassell Street Press. This book was released on 2021-09-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Vector Space Approach to Geometry

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Publisher : Courier Dover Publications
ISBN 13 : 0486835391
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis A Vector Space Approach to Geometry by : Melvin Hausner

Download or read book A Vector Space Approach to Geometry written by Melvin Hausner and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.

Computational Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210984
Total Pages : 413 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Computational Geometry by : Franco P. Preparata

Download or read book Computational Geometry written by Franco P. Preparata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2

An Introduction to Differential Geometry

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Publisher : Courier Corporation
ISBN 13 : 0486282104
Total Pages : 338 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis An Introduction to Differential Geometry by : T. J. Willmore

Download or read book An Introduction to Differential Geometry written by T. J. Willmore and published by Courier Corporation. This book was released on 2013-05-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.

Inversive Geometry

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Publisher : Courier Corporation
ISBN 13 : 0486493393
Total Pages : 292 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Inversive Geometry by : Frank Morley

Download or read book Inversive Geometry written by Frank Morley and published by Courier Corporation. This book was released on 2014-01-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

The Shape of Inner Space

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Publisher : Il Saggiatore
ISBN 13 : 0465020232
Total Pages : 398 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Shape of Inner Space by : Shing-Tung Yau

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Number, Shape, & Symmetry

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Publisher : CRC Press
ISBN 13 : 1466554649
Total Pages : 446 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Number, Shape, & Symmetry by : Diane L. Herrmann

Download or read book Number, Shape, & Symmetry written by Diane L. Herrmann and published by CRC Press. This book was released on 2012-10-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.

An Introduction to Noncommutative Differential Geometry and Its Physical Applications

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Publisher : Cambridge University Press
ISBN 13 : 0521659914
Total Pages : 381 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis An Introduction to Noncommutative Differential Geometry and Its Physical Applications by : J. Madore

Download or read book An Introduction to Noncommutative Differential Geometry and Its Physical Applications written by J. Madore and published by Cambridge University Press. This book was released on 1999-06-24 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly revised introduction to non-commutative geometry.

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

A Gyrovector Space Approach to Hyperbolic Geometry

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598298232
Total Pages : 194 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis A Gyrovector Space Approach to Hyperbolic Geometry by : Abraham Ungar

Download or read book A Gyrovector Space Approach to Hyperbolic Geometry written by Abraham Ungar and published by Morgan & Claypool Publishers. This book was released on 2009-03-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

Introduction to Symplectic Geometry

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Publisher : Springer
ISBN 13 : 9811339872
Total Pages : 166 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Introduction to Symplectic Geometry by : Jean-Louis Koszul

Download or read book Introduction to Symplectic Geometry written by Jean-Louis Koszul and published by Springer. This book was released on 2019-04-15 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.