Math For All Students: Geometry
What is Geometry
Geometry is the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space. It is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found in surveying. Its name is derived from Greek words meaning “Earth measurement.” One reason geometry is studied is to improve visual ability. Most people think in terms of shapes and sizes, and understanding geometry helps improve reasoning in this area. The shapes people most often deal with in the world are three-dimensional shapes. Understanding the size and space of these shapes is something taught by geometry. At some point, nearly everyone has to figure out the size of a three-dimensional shape such as rooms, houses, vehicle trunk space, furniture and yards.
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Books
CliffsStudySolver Geometry by
Explores many aspects of Geometry. This title covers the following topics of the subject: basic concepts such as points, lines, planes, line segments, midpoints, and rays; angles and angle pairs, and parallel lines; measuring angle sums; triangles, polygons, and circles; and, determining perimeter and area, and ratio and proportion.
Call Number: QA 461 .H44 2004 (ML)ISBN: 9780764558252Publication Date: 2004-06-25
Geometry the Easy Way by
Explains the principles of plane geometry and includes practice exercises and model problems.
Call Number: QA455 .L35 1990 (ML)ISBN: 9780812042870Publication Date: 1990-03-01
Useful Resources
eBooks
Elementary Euclidean Geometry by
This book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics. From single lines one proceeds to parallel pencils, leading to midpoint loci, axes and asymptotic directions. Likewise, intersections with general pencils of lines lead to the central concepts of tangent, normal, pole and polar. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use with undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.
Call Number: eBookISBN: 9780521834483Publication Date: 2004-03-25
Geometry and Topology by
Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples. The treatment emphasises coordinate systems and the coordinate changes that generate symmetries. The discussion moves from Euclidean to non-Euclidean geometries, including spherical and hyperbolic geometry, and then on to affine and projective linear geometries. Group theory is introduced to treat geometric symmetries, leading to the unification of geometry and group theory in the Erlangen program. An introduction to basic topology follows, with the Möbius strip, the Klein bottle and the surface with g handles exemplifying quotient topologies and the homeomorphism problem. Topology combines with group theory to yield the geometry of transformation groups,having applications to relativity theory and quantum mechanics. A final chapter features historical discussions and indications for further reading. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with a wide supply of exercises. Further teaching material is available for teachers via the web, including assignable problem sheets with solutions.
Call Number: eBookISBN: 9780521848893Publication Date: 2005-11-10- Elementary College Geometry - 2021 ed.Call Number: Open Access Textbook
