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  • 1
    Online Resource
    Online Resource
    Burlington, MA : Elsevier Academic Press
    UID:
    b3kat_BV036962298
    Format: 1 Online-Ressource (xix, 539 p.) , ill , 25 cm
    Edition: 2nd ed
    Edition: Online_Ausgabe Amsterdam Elsevier Science & Technology 2007 Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Edition: Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0123694272 , 9780123694270
    Note: Includes bibliographical references (p. 459-461) and index , Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. * Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition * Historical notes included in many chapters * Instructor's Manual with solutions available for all adopters of the text
    Additional Edition: Reproduktion von Geometry and its applications c2006
    Language: English
    Keywords: Geometrie ; Anwendung ; CD-ROM
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Burlington, MA :Elsevier Academic Press,
    UID:
    almahu_9949697836502882
    Format: 1 online resource (560 p.)
    Edition: 2nd ed.
    ISBN: 1-281-05052-0 , 9786611050528 , 0-08-047803-4
    Content: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's use
    Note: Description based upon print version of record. , Preface; Introduction; Axiomatic Geometry; Rigidity and Architecture; Computer Graphics; Symmetries in Anthropology; Robotics; Molecular Shapes; 1 The Axiomatic Method in Geometry; 1.1 The Aims of Axiomatic Geometry; Section 1.1 Exercises; 1.2 Proofs in Axiomatic Geometry; Section 1.2 Exercises; 1.3 Axioms for Euclidean Geometry; Section 1.3 Exercises; 2 The Euclidean Heritage; 2.1 Congruence; Section 2.1 Exercises; 2.2 Perpendicularity; Section 2.2 Exercises; 2.3 Parallelism; Section 2.3 Exercises; 2.4 Area and Similarity; Section 2.4 Exercises; 3 Non-Euclidean Geometry , 3.1 Hyperbolic and Other Non-Euclidean GeometriesSection 3.1 Exercises; 3.2 Spherical Geometry: A Three-Dimensional View; Section 3.2 Exercises; 3.3 Spherical Geometry: An Axiomatic View; Section 3.3 Exercises; 4 Transformation Geometry I: Isometries and Symmetries; 4.1 Isometries and Their Invariants; Section 4.1 Exercises; 4.2 Composing Isometries; Section 4.2 Exercises; 4.3 There Are Only Four Kinds of Isometries; Section 4.3 Exercises; 4.4 Symmetries of Patterns; Section 4.4 Exercises; 4.5 What Combinations of Symmetries Can Strip Patterns Have?; Section 4.5 Exercises , 5 Vectors in Geometry5.1 Parametric Equations of Lines; Section 5.1 Exercises; 5.2 Scalar Products, Planes, and the Hidden Surface Problem; Section 5.2 Exercises; 5.3 Norms, Spheres, and the Global Positioning System; Section 5.3 Exercises; 5.4 Curve Fitting with Splines in Two Dimensions; Section 5.4 Exercises; 6 Transformation Geometry II: Isometries and Matrices; 6.1 Equations and Matrices for Familiar Transformations; Section 6.1 Exercises; 6.2 Composition and Matrix Multiplication; Section 6.2 Exercises; 6.3 Frames and How to Represent Them; Section 6.3 Exercises , 6.4 Properties of the Frame MatrixSection 6.4 Exercises; 6.5 Forward Kinematics for a Simple Robot Arm; Section 6.5 Exercises; 7 Transformation Geometry III: Similarity, Inversion, and Projection; 7.1 Central Similarity and Other Similarity Transformations in the Plane; Section 7.1 Exercises; 7.2 Inversion; Section 7.2 Exercises; 7.3 Perspective Projection and Image Formation; Section 7.3 Exercises; 7.4 Parallelism and Vanishing Points of a Perspective Projection; Section 7.4 Exercises; 7.5 Parallel Projection; Section 7.5 Exercises; 8 Graphs, Maps, and Polyhedra , 8.1 Introduction to Graph TheorySection 8.1 Exercises; 8.2 Euler's Formula and the Euler Number; Section 8.2 Exercises; 8.3 Polyhedra, Combinatorial Structure, and Planar Maps; Section 8.3 Exercises; 8.4 Special Kinds of Polyhedra: Regular Polyhedra and Fullerenes; Section 8.4 Exercises; 8.5 List Coloring and the Five-Color Theorem; Section 8.5 Exercises; Bibliography; Chapters 1 and 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Answers to Odd-Numbered Exercises; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Index , English
    Additional Edition: ISBN 0-12-369427-2
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Amsterdam [u.a.] : Elsevier Academic Press
    UID:
    gbv_164585521X
    Format: Online Ressource (xix, 539 p.) , Ill., graph. Darst.
    Edition: 2. ed.
    Edition: Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
    ISBN: 9780123694270 , 0123694272 , 9780080478036 , 0080478034
    Content: The axiomatic method in geometry -- The Euclidean heritage -- Non-Euclidean geometry -- Transformation geometry 1. Isometries and symmetries -- Vectors in geometry -- Transformation geometry 2. Isometries and matrices -- Transformation geometry 3. Similarity, inversion, and projection -- Graphs, maps, and polyhedra
    Content: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. * Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition * Historical notes included in many chapters * Instructor's Manual with solutions available for all adopters of the text
    Note: Includes bibliographical references (p. 459-461) and index. - Description based on print version record
    Additional Edition: ISBN 0123694272
    Additional Edition: Druckausg. Meyer, Walter J. Geometry and its applications Amsterdam [u.a.] : Elsevier Academic Press, 2006 ISBN 0123694272
    Additional Edition: ISBN 9780123694270
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Geometrie ; Electronic books ; Electronic books
    URL: Volltext  (Deutschlandweit zugänglich)
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Book
    Book
    Amsterdam [u.a.] : Elsevier Academic Press
    UID:
    gbv_499435680
    Format: XIX, 539 S. , Ill., graph. Darst. , 25 cm
    Edition: 2. ed.
    ISBN: 0123694272 , 9780123694270
    Note: Includes bibliographical references (p. 459-461) and index
    Additional Edition: Online-Ausg. u.d.T. Meyer, Walter J., 1943 - Geometry and its applications Amsterdam [u.a.] : Elsevier Academic Press, 2006 ISBN 9780123694270
    Additional Edition: ISBN 0123694272
    Additional Edition: ISBN 9780080478036
    Additional Edition: ISBN 0080478034
    Additional Edition: Erscheint auch als Online-Ausgabe Meyer, Walter Geometry and Its Applications. San Diego : Elsevier Science & Technology, 2006 ISBN 9780080478036
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Geometrie ; Geometrie ; Lehrbuch ; Einführung
    Library Location Call Number Volume/Issue/Year Availability
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