Symmetry: An Introduction to Group Theory and Its Applications
- ISBN-10
- 1483226247
- ISBN-13
- 9781483226248
- Series
- Symmetry
- Category
- Mathematics
- Pages
- 262
- Language
- English
- Published
- 2013-09-03
- Publisher
- Elsevier
- Author
- R. McWeeny
Description
Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
Get the book
Other editions
Similar books
-
Mirror Symmetry
By Kentaro Hori, Rahul PandharipandeThis book aims to give a single, cohesive treatment of mirror symmetry from both the mathematical and physical viewpoint.
-
Symmetry and the Monster: One of the Greatest Quests of Mathematics
By Mark RonanIn an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.
-
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns
By Frank A. FarrisFun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
-
Shapes, Space, and Symmetry
By Alan HoldenExplains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
-
Seeing Symmetry
By Loreen LeedyThis book is aligned with the Common Core State Standards for fourth-grade mathematics in geometry: (4.G.3).Once you start looking, you can find symmetry all around you.
-
Beautiful Symmetry: A Coloring Book about Math
By Alex BerkeTraditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone.
-
Fearless Symmetry: Exposing the Hidden Patterns of Numbers (New Edition)
By Avner Ash, Robert GrossFearless Symmetry is a book about detecting hidden patterns, about finding definitions that clarify, about the study of numbers that has entranced some of our great thinkers for thousands of years.
-
The Elements of Dynamic Symmetry
By Jay HambidgeBut Hambidge, who was not only a theoretician but also a practicing artist, did much more than analyze classical art and its principles of design: he worked out a series of root rectangles that the artist, using the simple mathematics ...
-
Symmetry: The Ordering Principle
By David WadeIllustrated with old engravings and original work by the author, this book moves from church windows and mirror reflections to the deepest ideas of hidden symmetries in physics and geometry, music and the arts, left- and right-handedness.
-
Aspects of Symmetry: Selected Erice Lectures
By Sidney ColemanThis volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight.