Modern Geometries Non-Euclidean, Projective, and Discrete

ISBN-10: 0130323136

ISBN-13: 9780130323132

Edition: 2nd 2001

Authors: Michael Henle
List price: $117.80 Buy it from $48.55
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Description: Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.

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Book details

List price: $117.80
Edition: 2nd
Copyright year: 2001
Publisher: Prentice Hall PTR
Publication date: 1/12/2001
Binding: Hardcover
Pages: 389
Size: 6.25" wide x 9.00" long x 0.75" tall
Weight: 1.430
Language: English

Mike Henleis Associate Director of MBA Career Services at The College of William and Maryrsquo;s Mason School of Business.nbsp; Previous to this role he held various staff and faculty positions at the University of Minnesotarsquo;s Carlson School of Management including Director of the Undergraduate Business Career Center.nbsp; Additionally, he served in a faculty position at St. Maryrsquo;s University Minnesota and adjunct faculty positions in several community colleges.nbsp; Possessing an MBA in finance, an MA in educational psychology, and a BA in psychology, Mike has over 20 years of experience in the areas of leadership, professional development and corporate finance.nbsp; He has made presentations at numerous national and regional conferences. nbsp; Mike Stebleton, Ph.D., is a faculty member in the Department of Postsecondary Teaching and Learning in the College of Education and Human Development at the University of Minnesota-Twin Cities.nbsp; He recently held adjunct faculty positions at St. Mary's University of Minnesota and Metropolitan State University in St. Paul, MN.nbsp; Additionally, Stebleton worked as a counseling faculty member at a community college for over three years.nbsp; His research interests include:nbsp; narrative approaches to career development, the role of media on career-decision making, and multicultural influences impacting career.nbsp; Mike is one of the authors of a textbook titled: Hired:nbsp; The Job Hunting/Career-Planning Guide , 3 ed., published by Prentice-Hall (2006).nbsp; He has presented at numerous state and national career development conferences.nbsp;nbsp;nbsp; nbsp;

Preface
Acknowledgments
Dependency Chart
Introduction
Background
Some History
Complex Numbers
Geometric Transformations
The Erlanger Programm
Plane Geometry
Mobius Geometry
Steiner Circles
Hyperbolic Geometry
Cycles
Hyperbolic Length
Area
Elliptic Geometry
Absolute Geometry
Projective Geometry
The Real Projective Plane
Projective Transformations
Multidimensional Projective Geometry
Universal Projective Geometry
Solid Geometry
Quaternions
Euclidean and Pseudo-Euclidean Solid Geometry
Hyperbolic and Elliptic Solid Geometry
Discrete Geometry
Graphs and Matroids
Reflections
Discrete Symmetry
Non-Euclidean Symmetry
Axiom Systems
Hilbert's Axioms
Bachmann's Axioms
Metric Absolute Geometry
Conclusion
The Cultural Impact of Non-Euclidean Geometry
The Geometric Idea of Space
Bibliography
Index
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