Transformation Geometry

An Introduction to Symmetry

Author: George E. Martin

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 240

View: 642

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.

A Primer for Undergraduate Research

From Groups and Tiles to Frames and Vaccines

Author: Aaron Wootton

Publisher: Birkhäuser

ISBN:

Category: Mathematics

Page: 313

View: 371

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.

Geometries and Transformations

Author: Norman W. Johnson

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 350

View: 545

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

Groups and Symmetry

Author: Mark A. Armstrong

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 187

View: 510

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.

Applied Linear Algebra and Matrix Analysis

Author: Thomas S. Shores

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 384

View: 925

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

Geometry and Symmetry

Author: Paul B. Yale

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 288

View: 569

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

A First Course in Analysis

Author: George Pedrick

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 279

View: 685

This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.