Geometry with geometry explorer / (Record no. 1237)

MARC details
000 -LEADER
fixed length control field 05874nam a22002777a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221116220830.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210607b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 007124865X (paperback)
040 ## - CATALOGING SOURCE
Language of cataloging English.
Transcribing agency CvSU-CCAT Campus Library.
Description conventions rda.
Original cataloging agency CvSU-CCAT Campus Library.
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number CIR QA 445
Item number H84 2005
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Hvidsten, Michael
9 (RLIN) 3790
111 ## - MAIN ENTRY--MEETING NAME
Meeting name or jurisdiction name as entry element Hvidsten, Michael, author.
9 (RLIN) 7375
245 ## - TITLE STATEMENT
Title Geometry with geometry explorer /
Statement of responsibility, etc. Michael Hvidsten.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Dubuque, Iowa :
Name of publisher, distributor, etc. McGraw-Hill,
Date of publication, distribution, etc. c2005.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 463 pages :
Other physical details illustrations ;
Dimensions 24 cm + 1
Accompanying material CD-ROM (4 3/4 in.)
501 ## - WITH NOTE
With note Includes bibliographical references (p. 453-456) and index.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1 Geometry and the Axiomatic Method 1.1 Early Origins of Geometry 1.2 Thales and Pythagoras<br/>1.2.1 Thales<br/>1.2.2 Pythagoras 1.3 Project 1 - The Ratio Made of Gold<br/>1.3.1 Golden Section<br/>1.3.2 Golden Rectangles 1.4 The Rise of the Axiomatic Method 1.5 Properties of Axiomatic Systems<br/>1.5.1 Consistency<br/>1.5.2 Independence<br/>1.5.3 Completeness<br/>1.5.4 Gödel's Incompleteness Theorem 1.6 Euclid's Axiomatic Geometry<br/>1.6.1 Euclid's Postulates 1.7 Project 2 - A Concrete Axiomatic System 2 Euclidean Geometry 2.1 Angles, Lines, and Parallels 2.2 Congruent Triangles and Pasch's Axiom 2.3 Project 3 - Special Points of a Triangle<br/>2.3.1 Circumcenter<br/>2.3.2 Orthocenter<br/>2.3.3 Incenter 2.4 Measurement and Area in Eucliedean Geometry<br/>2.4.1 Mini-Project - Area in Euclidean Geometry<br/>2.4.2 Cevians and Areas 2.5 Similar Triangles<br/>2.5.1 Mini-Project - Finding Heights 2.6 Circle Geometry 2.7 Project 4 - Circle Inversion and Orthogonality<br/>2.7.1 Orthogonal Circles Redux 3 Analytic Geometry 3.1 The Cartesian Coordinate System 3.2 Vector Geometry 3.3 Project 5 - Be;zier Curves 3.4 Angles in Coordinate Geometry 3.5 The Complex Plane<br/>3.5.1 Polar Form<br/>3.5.2 Complex Functions<br/>3.5.3 Analytic Functions and Conformal Maps (Optional) 3.6 Birkhoff's Axiomatic System for Analytic Geometry 4 Constructions 4.1 Euclidean Constructions 4.2 Project 6 - Euclidean Eggs 4.3 Constructibility 4.4 Mini-Project - Origami Construction 5 Transformational Geometry 5.1 Euclidean Isometries 5.2 Reflections<br/>5.2.1 Mini-Project - Isometries through Reflection<br/>5.2.2 Reflection and Symmetry 5.3 Translations<br/>5.3.1 Translational Symmetry 5.4 Rotations<br/>5.4.1 Rotational Symmetry 5.5 Project 7 - Quilts and Transformations 5.6 Glide Reflections<br/>5.6.1 Glide Reflection Symmetry 5.7 Structure and Representation of Isometries<br/>5.7.1 Matrix Form of Isometries<br/>5.7.2 Compositions of Rotations and Translations<br/>5.7.3 Compositions of Reflections and Glide Reflections<br/>5.7.4 Isometries in Computer Graphics<br/>5.7.5 Summary of Isometry Compositions 5.8 Project 8 - Constructing Compositions 6 Symmetry 6.1 Finite Plane Symmetry Groups 6.2 Frieze Groups 6.3 Wallpaper Groups 6.4 Tiling the Plane<br/>6.4.1 Escher<br/>6.4.2 Regular Tessellations of the Plane 6.5 Project 9 - Constructing Tessellations 7 Non-Euclidean Geometry 7.1 Background and History 7.2 Models of Hyperbolic Geometry<br/>7.2.1 Poincare; Model<br/>7.2.2 Mini-Project - The Klein Model 7.3 Basic Results in Hyperbolic Geometry<br/>7.3.1 Parallels in Hyperbolic Geometry<br/>7.3.2 Omega Points and Triangles 7.4 Project 10 - The Saccheri Quadrilateral 7.5 Lambert Quadrilaterals and Triangles<br/>7.5.1 Lambert Quadrilaterals<br/>7.5.2 Triangles in Hyperbolic Geometry 7.6 Area in Hyperbolic Geometry 7.7 Project 11 - Tiling the Hyperbolic Plane 7.8 Models and Isomorphism 8 Non-Euclidean Transformations 8.1 Möbius Transformations<br/>8.1.1 Fixed Points and the Cross Ratio<br/>8.1.2 Geometric Properties of Möbius Transformations 8.2 Isometries in the Poincare; Model 8.3 Isometries in the Klein Model 8.4 Mini-Project - The Upper Half-Plane Model 8.5 Weierstrass Model 8.6 Hyperbolic Calculation<br/>8.6.1 Arclength of Parameterized Curves<br/>8.6.2 Geodesics<br/>8.6.3 The Angle of Parallelism<br/>8.6.4 Right Triangles<br/>8.6.5 Area 8.7 Project 12 - Infinite Real Estate? 9 Fractal Geometry 9.1 The Search for a "Natural" Geometry 9.2 Self-Similarity<br/>9.2.1 Sierpinski's Triangle<br/>9.2.2 Cantor Set 9.3 Similarity Dimension 9.4 Project 13 - An Endlessly Beautiful Snowflake 9.5 Contraction Mappings and the Space of Fractals 9.6 Fractal Dimension 9.7 Project 14 - IFS Ferns 9.8 Algorithmic Geometry<br/>9.8.1 Turtle Geometry 9.9 Grammars and Productions<br/>9.9.1 Space-filling Curves 9.10 Project 15 - Words into Plants: The Geometry of Life A Book I of Euclid's Elements A.1 Definitions A.2 The Postulates (Axioms) A.3 Common Notions A.4 Propositions (Theorems) B Brief Guide to Geometry Explorer B.1 The Main Geometry Explorer Window B.2 Selecting Objects B.3 Active vs. Inactive Tools B.4 Labels B.5 Object Coloring B.6 Online Help B.7 Undo/Redo of Actions B.8 Clearing and Resizing the Canvas B.9 Saving Files as Images B.10 Main Window Button Panels<br/>B.10.1 Create Panel<br/>B.10.2 Construct Panel<br/>B.10.3 Transform Panel B.11 Measurement in Geometry Explorer<br/>B.11.1 Neutral Measurements<br/>B.11.2 Euclidean-only Measurements<br/>B.11.3 Hyperbolic-only Measurements<br/>B.11.4 User Input Measurements B.12 Using Tables B.13 Using the Calculator B.14 Hyperbolic Geometry B.15 Analytic Geometry B.16 Turtle Geometry C Birkhoff's Axioms for Euclidean Geometry D Hilbert's Axioms for Euclidean Geometry E The 17 Wallpaper Groups
520 ## - SUMMARY, ETC.
Summary, etc. Explores topics such as hyperbolic geometry, and encourages the kind of experimentation and self-discovery needed for students to develop a natural intuition for various topics in geometry. This book combines a discovery-based geometry text with integrated geometry software.
546 ## - LANGUAGE NOTE
Language note In English text.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry.
9 (RLIN) 211
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry Explorer (Computer file).
9 (RLIN) 3791
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Book
Source of classification or shelving scheme Library of Congress Classification
Classification part QA 445 H84 2005
Call number prefix CIR
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Coded location qualifier Cost, normal purchase price Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Library of Congress Classification     Book Cavite State University - CCAT Campus Cavite State University - CCAT Campus GCS 01/12/2009 Purchased GCS 2735.00 CIR QA 445 H84 2005 R0009132 10/15/2025 1 06/07/2021 Book