Search results for: taxicab-geometry

Taxicab Geometry

Author : Eugene F. Krause
File Size : 54.50 MB
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Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.

Taxicab Geometry

Author : Eugene F. Krause
File Size : 75.56 MB
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Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.

Lines and Circles in Taxicab Geometry

Author : Guanghui Chen
File Size : 50.27 MB
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Taxicab Geometry

Author : Lambert M. Surhone
File Size : 85.83 MB
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The Foundations of Geometry and the Non Euclidean Plane

Author : G.E. Martin
File Size : 48.25 MB
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This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.

Author : Ivan Moscovich
File Size : 26.24 MB
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Presents a collection of puzzles that focus on mathematical concepts.

The Last Recreations

Author : Martin Gardner
File Size : 81.65 MB
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Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one-before Gardner-had written about mathematics like this. They continue to be a marvel. This is the original 1997 edition and contains columns published from 1980-1986.

Geometry from Euclid to Knots

Author : Saul Stahl
File Size : 63.59 MB
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This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.

Adventures in Problem Solving

Author : S. Shirali
File Size : 28.43 MB
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Geometry Connections

Author : John K. Beem
File Size : 43.73 MB
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Presents a review of college-level geometry to help middle school mathematics teachers in teaching the NCTM Standards-based curricula.

Geometry

Author : Holt Rinehart & Winston
File Size : 70.25 MB
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Pi Mu Epsilon Journal

Author :
File Size : 36.45 MB
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Communications de la Facult des sciences de l Universit d Ankara

Author : Ankara Üniversitesi. Fen Fakültesi
File Size : 61.38 MB
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Communications

Author :
File Size : 54.36 MB
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Algebras Groups and Geometries

Author :
File Size : 31.29 MB
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The Mathematical Gazette

Author :
File Size : 55.49 MB
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Ivan Moscovich s Super games

Author : Ivan Moscovich
File Size : 74.86 MB
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Challenging Mathematics In and Beyond the Classroom

Author : Edward J. Barbeau
File Size : 71.39 MB
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In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

The Foundations of Geometry

Author : Gerard Venema
File Size : 85.18 MB
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For sophomore/junior-level courses in Geometry; especially appropriate for students that will go on to teach high-school mathematics. This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasizes the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.

Mathematical Snapshots

Author : Hugo Steinhaus
File Size : 70.53 MB
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Numerous photographs, diagrams explain mathematical phenomena in series of thought-provoking expositions. From simple puzzles to more advanced problems, topics include psychology of lottery players, arrangement of chromosomes in a human cell, new and larger prime numbers, more. Fascinating glimpse into the world of numbers. 1969 edition. 391 black-and-white illustrations.