Search Results for "geometry"

David Hilbert’s Lectures on the Foundations of Geometry 1891–1902

David Hilbert’s Lectures on the Foundations of Geometry 1891–1902

  • Author: Michael Hallett,Ulrich Majer
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540643739
  • Category: Mathematics
  • Page: 661
  • View: 4983
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This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.

Geometry of Design

Geometry of Design

  • Author: Kimberly Elam
  • Publisher: Princeton Architectural Press
  • ISBN: 9781568985848
  • Category: Architecture
  • Page: 107
  • View: 9012
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Kimberly Elam fA1/4hrt den Leser auf eine geometrische Reise und gibt Einsicht in den Designprozess, indem sie visuelle Beziehungen untersucht, die sowohl auf mathematischen Prinzipien als auch auf grundlegenden Eigenschaften des Lebens basieren. Elams ErklArungen machen die mathematischen Beziehungen, die sich hinter diesen Designs verbergen, offensichtlich, und ihre EinfA1/4hrung in die Technik der visuellen Analyse macht dieses Buch zu einer unerlAsslichen Hilfe fA1/4r jeden, der grafisch arbeitet. Die Autorin behandelt dabei nicht nur die klassischen Proportionierungssysteme wie den Goldenen Schnitt und wurzelbasierte Rechtecke, sondern auch weniger bekannte Systeme wie z.B. die Fibonaccifolge.

Geometry I

Geometry I

  • Author: Marcel Berger
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540116585
  • Category: Mathematics
  • Page: 432
  • View: 6107
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Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.

Conformal Geometry

Conformal Geometry

A Publication of the Max-Planck-Institut für Mathematik, Bonn

  • Author: Ravi S. Kulkarni
  • Publisher: Springer-Verlag
  • ISBN: 3322906167
  • Category: Mathematics
  • Page: 240
  • View: 8412
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G-Functions and Geometry

G-Functions and Geometry

A Publication of the Max-Planck-Institut für Mathematik, Bonn

  • Author: Yves André
  • Publisher: Springer-Verlag
  • ISBN: 366314108X
  • Category: Mathematics
  • Page: 232
  • View: 5380
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Introduction to the Geometry of Foliations, Part A

Introduction to the Geometry of Foliations, Part A

Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy

  • Author: Gilbert Hector,Ulrich Hirsch
  • Publisher: Springer-Verlag
  • ISBN: 3322984826
  • Category: Juvenile Nonfiction
  • Page: 236
  • View: 4867
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Contributions to Complex Analysis and Analytic Geometry

Contributions to Complex Analysis and Analytic Geometry

Dedicated to Pierre Dolbeault

  • Author: Henri Skoda,Jean-Marie Trépreau
  • Publisher: Springer-Verlag
  • ISBN: 3663141969
  • Category: Mathematics
  • Page: 250
  • View: 2208
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Modern Geometry— Methods and Applications

Modern Geometry— Methods and Applications

Part II: The Geometry and Topology of Manifolds

  • Author: B.A. Dubrovin,A.T. Fomenko,S.P. Novikov
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387961620
  • Category: Mathematics
  • Page: 432
  • View: 8345
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Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.

Introduction to the Geometry of Foliations, Part B

Introduction to the Geometry of Foliations, Part B

Foliations of Codimension One

  • Author: Gilbert Hector
  • Publisher: Springer-Verlag
  • ISBN: 3322856194
  • Category: Mathematics
  • Page: 298
  • View: 9119
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Applied Descriptive Geometry

Applied Descriptive Geometry

  • Author: Kathryn Holliday-Darr
  • Publisher: Cengage Learning
  • ISBN: 9780827379121
  • Category: Mathematics
  • Page: 482
  • View: 4864
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Excellent for engineering and technology students, this text goes far beyond instruction in standard orthographic projection to clarify all the tools of descriptive geometry--and how they apply to individual fields. The text places special emphasis on applications in all the various engineering disciplines: mechanical, plastics, industrial, piping, aerospace, marine, civil, and structural. As a result, students quickly grasp the value of descriptive geometry as they apply the tools and techniques to practical problems. By organizing information around the field's central concept--line of sight--the presentation facilitates understanding in a way unmatched by any other text. The worktext format provides students with all the resources they need--text and workbook--under one cover.ALSO AVAILABLEINSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDER Instructor's Guide, ISBN: 0-7668-0118-7Keywords: Descriptive Geometry

The Geometry of Rene Descartes

The Geometry of Rene Descartes

  • Author: René Descartes
  • Publisher: Cosimo, Inc.
  • ISBN: 1602066914
  • Category: Mathematics
  • Page: 264
  • View: 4454
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Euclidean Geometry and Transformations

Euclidean Geometry and Transformations

  • Author: Clayton W. Dodge
  • Publisher: Courier Corporation
  • ISBN: 9780486434766
  • Category: Mathematics
  • Page: 295
  • View: 1516
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This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Geometry's Great Thinkers

Geometry's Great Thinkers

The History of Geometry

  • Author: Bonnie Leech
  • Publisher: The Rosen Publishing Group, Inc
  • ISBN: 9781404260733
  • Category: Juvenile Nonfiction
  • Page: 32
  • View: 6846
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Introduces famous figures in the history of geometry and explains the principles that they proposed.

Geometry, Topology and Physics, Second Edition

Geometry, Topology and Physics, Second Edition

  • Author: Mikio Nakahara
  • Publisher: CRC Press
  • ISBN: 9780750306065
  • Category: Mathematics
  • Page: 596
  • View: 4240
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Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

CAD/CAE Descriptive Geometry

CAD/CAE Descriptive Geometry

  • Author: Daniel L. Ryan
  • Publisher: CRC Press
  • ISBN: 9780849342738
  • Category: Computers
  • Page: 224
  • View: 6200
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CAD/CAE Descriptive Geometry provides a sound foundation in the fundamentals of plane geometry (mathematics), orthographic projection (technical drawing), and high-speed communication methods (digital computing). The material presented in this textbook is based on the premise that readers have access to IBM PC or PS/2 compatible workstations running AutoDesk software. The chapters cover the basic geometry topic in detail using the CAD workstation. The book is an excellent industry and institutional reference, as well as a student text.

Geometry, Particles, and Fields

Geometry, Particles, and Fields

  • Author: Bjoern Felsager
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387982670
  • Category: Science
  • Page: 672
  • View: 3699
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Geometry, Particles and Fields is a direct reprint of the first edition. From a review of the first edition: "The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics...It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics...The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler...Felsager gives a very clear presentation of the use of geometric methods in particle physics...For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." PHYSICS TODAY Bjoern Felsager is a high school teacher in Copenhagen. Educated at the Niels Bohr Institute, he has taught at the Universities of Copenhagen and Odense.

Geometry in Ancient and Medieval India

Geometry in Ancient and Medieval India

  • Author: T. A. Sarasvati Amma
  • Publisher: Motilal Banarsidass Publ.
  • ISBN: 9788120813441
  • Category: Geometry
  • Page: 277
  • View: 5911
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This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.

Basic Concepts of Geometry

Basic Concepts of Geometry

  • Author: Walter Prenowitz,Meyer Jordan
  • Publisher: Rowman & Littlefield
  • ISBN: 9780912675480
  • Category: Mathematics
  • Page: 370
  • View: 7392
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No descriptive material is available for this title.

Multiple View Geometry in Computer Vision

Multiple View Geometry in Computer Vision

  • Author: Richard Hartley,Andrew Zisserman
  • Publisher: Cambridge University Press
  • ISBN: 9780521540513
  • Category: Computers
  • Page: 655
  • View: 8195
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A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.

Philosophy of Geometry from Riemann to Poincaré

Philosophy of Geometry from Riemann to Poincaré

  • Author: R. Torretti
  • Publisher: Taylor & Francis
  • ISBN: 9789027709202
  • Category: History
  • Page: 459
  • View: 6508
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Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.