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Author : Guanghui Chen
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (281 download)
Download or read book Lines and Circles in Taxicab Geometry written by Guanghui Chen and published by . This book was released on 1992 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maureen T. Carroll
Publisher : American Mathematical Soc.
ISBN 13 : 1470448432
Total Pages : 480 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry: The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Eugene F. Krause
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (97 download)
Download or read book Taxicab Geometry written by Eugene F. Krause and published by Addison Wesley Publishing Company. This book was released on 1975 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.
Author : Eugene F. Krause
Publisher : Courier Corporation
ISBN 13 : 048613606X
Total Pages : 99 pages
Book Rating : 4.4/5 (861 download)
Download or read book Taxicab Geometry written by Eugene F. Krause and published by Courier Corporation. This book was released on 2012-04-30 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Martin Gardner
Publisher : Springer Science & Business Media
ISBN 13 : 0387258272
Total Pages : 392 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Last Recreations written by Martin Gardner and published by Springer Science & Business Media. This book was released on 2007-02-28 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all of Martin Gardners writings, none gained him a wider audience or was more central to his reputation than his Mathematical Recreations column in Scientific American - which virtually defined the genre of popular mathematics writing for a generation. Flatland, Hydras and Eggs: Mathematical Mystifications is the final collection of these columns, covering the period roughly from 1979 to Gardners retirement in 1986. As always in his published collections, Gardner includes letters commenting on the ideas presented in his articles. These columns show him at the top of his form and should not be missed by anyone with an interest in mathematics.
Author : Ivan Moscovich
Publisher : Sterling Publishing Company, Inc.
ISBN 13 : 9781402716683
Total Pages : 136 pages
Book Rating : 4.7/5 (166 download)
Download or read book written by Ivan Moscovich and published by Sterling Publishing Company, Inc.. This book was released on 2004 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of puzzles that focus on mathematical concepts.
Author : Howard Whitley Eves
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780867204759
Total Pages : 392 pages
Book Rating : 4.2/5 (47 download)
Download or read book College Geometry written by Howard Whitley Eves and published by Jones & Bartlett Learning. This book was released on 1995 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.
Author : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 362 pages
Book Rating : 4.1/5 (281 download)
Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-08-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public
Author : Colin Conrad Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821836781
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Knot Book written by Colin Conrad Adams and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.
Author : Denise Szecsei
Publisher : Penguin
ISBN 13 : 9781592571833
Total Pages : 404 pages
Book Rating : 4.5/5 (718 download)
Download or read book The Complete Idiot's Guide to Geometry written by Denise Szecsei and published by Penguin. This book was released on 2004 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is hard. This book makes it easier. You do the math. This is the fourth title in the series designed to help high school and college students through a course they'd rather not be taking. A non-intimidating, easy- to-understand companion to their textbook, this book takes students through the standard curriculum of topics, including proofs, polygons, coordinates, topology, and much more.
Author : David Bayne
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (518 download)
Download or read book Circles in Chinese Checker Geometry and Intersection of Taxicab Circles written by David Bayne and published by . This book was released on 2001 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard S. Millman
Publisher : Springer Science & Business Media
ISBN 13 : 9780387974125
Total Pages : 394 pages
Book Rating : 4.9/5 (741 download)
Download or read book Geometry written by Richard S. Millman and published by Springer Science & Business Media. This book was released on 1993-05-07 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.
Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 296 pages
Book Rating : 4.4/5 (861 download)
Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
Author : G.E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461257255
Total Pages : 525 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Foundations of Geometry and the Non-Euclidean Plane written by G.E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : John K. Beem
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.X/5 (4 download)
Download or read book Geometry Connections written by John K. Beem and published by Prentice Hall. This book was released on 2006 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents a review of college-level geometry, designed to equip middle grade mathematics teachers with the skills needed for teaching NCTM (National Council of Teachers of Mathematics) Standards-based curricula. Contains geometry which middle school mathematics teachers will actually have to teach, as well as additional material to deepen future teachers' knowledge and understanding of geometry. Includes a variety of activities designed to deepen the connections between the geometry students are studying now and the geometry they will teach.
Author : Paul Zeitz
Publisher : John Wiley & Sons
ISBN 13 : 1119239907
Total Pages : 389 pages
Book Rating : 4.1/5 (192 download)
Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
