Geometry and its Applications

This unique textbook combines traditional geometry with current ideas to present a contemporary approach that is grounded in real-world applications. It balances introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes.

This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. The Third Edition streamlines the treatment from the previous two editionsTreatment of axiomatic geometry has been expandedNearly 300 applications from all fields are includedAn emphasis on computer science-related applications appeals to student interestMany new excercises keep the presentation fresh

"Geometry and its Applications, 3rd edition, offers an impressive table of contents. It covers the usual topics yet goes further by covering other aspects not usually found in an introductory geometry textbook. The book covers the basics of axiomatic geometry with chapters on Euclidean and non-Euclidean geometry incorporating material on hyperbolic and spherical geometries. It includes a series of chapters on transformation geometry, covering isometries, symmetries, similarity, inversion, and projections. Linear algebra is used to study a variety of geometric problems. Some aspects of graph theory related to geometry are introduced in a final chapter.A key strength of this book is its strong coverage of many diverse applications of geometry. The author's background in industry has clearly helped him to present these applications in a nature and understandable way. With over 300 updated applications, many new exercises, and an emphasis on computer science-related applications appeals to student interest this new edition has been streamlined to tighten the presentation." -Dr. Ken Rosen

Autorentext

Walter A. Meyer is a professor at Adelphi University in New York.

Inhalt

Chapter 1

The Axiomatic Method in Geometry

Chapter 2

The Eucidean Heritage

Chapter 3

Non-Euclidean Geometry

Chapter 4

Transformation Geometry I: Isometries

Chapter 5

Vectors in Geometry

Chapter 6

Transformation Geometry II: Isometries and Matrices

Chapter 7

Transformation Geometry III: Similarity, Inversion and Projections

Chapter 8

Graphs, Maps and Polyhedra