Transformation Geometry

An Introduction to Symmetry

Author: George E. Martin

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 240

View: 555

Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.

Transformation Geometry

An Introduction to Symmetry

Author: George Edward Martin

Publisher:

ISBN:

Category: Geometry

Page: 237

View: 440

Geometries and Transformations

Author: Norman W. Johnson

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 350

View: 608

A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

A Primer for Undergraduate Research

From Groups and Tiles to Frames and Vaccines

Author: Aaron Wootton

Publisher: Birkhäuser

ISBN:

Category: Mathematics

Page: 313

View: 254

This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

Geometry and Symmetry

Author: Paul B. Yale

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 288

View: 862

DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div

Groups and Symmetry

Author: Mark A. Armstrong

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 187

View: 631

This is a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Includes more than 300 exercises and approximately 60 illustrations.