Taxicab Geometry
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Taxicab Geometry
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Author : Eugene F. Krause
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Taxicab Geometry written by Eugene F. Krause and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
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.
Taxicab Geometry
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Author : Eugene F. Krause
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1975
Taxicab Geometry written by Eugene F. Krause and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Juvenile Nonfiction categories.
Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
On Taxicab Geometry And Geography
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Author : Joseph Shun Chung Lau
language : en
Publisher:
Release Date : 1978
On Taxicab Geometry And Geography written by Joseph Shun Chung Lau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Paratransit services categories.
The Foundations Of Geometry And The Non Euclidean Plane
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Author : G.E. Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Foundations Of Geometry And The Non Euclidean Plane written by G.E. Martin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
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Author : Ivan Moscovich
language : en
Publisher: Sterling Publishing Company, Inc.
Release Date : 2004
written by Ivan Moscovich and has been published by Sterling Publishing Company, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Presents a collection of puzzles that focus on mathematical concepts.
Making Geometry Come Alive
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Author : Alfred S. Posamentier
language : en
Publisher: Corwin Press
Release Date : 2000-07-22
Making Geometry Come Alive written by Alfred S. Posamentier and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-22 with Education categories.
Please update SAGE UK and SAGE INDIA addresses on imprint page.
The Last Recreations
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Author : Martin Gardner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-06
The Last Recreations written by Martin Gardner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Mathematics categories.
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 The Line And The Circle
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Author : Maureen T. Carroll
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-12-20
Geometry The Line And The Circle written by Maureen T. Carroll and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-20 with Geometry categories.
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Adventures In Dynamic Geometry
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Author : Gerry Stahl
language : en
Publisher: Lulu.com
Release Date : 2015-10-06
Adventures In Dynamic Geometry written by Gerry Stahl and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-06 with Education categories.
Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Axiomatic Geometry
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Author : John M. Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-10
Axiomatic Geometry written by John M. Lee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.