Introduction to Group Theory with Applications covers the basic principles, concepts, mathematical proofs, and applications of group theory. This book is divided into 13 chapters and begins with discussions of the elementary topics related to the subject, including symmetry operations and group concepts. The succeeding chapters deal with the properties of matrix representations of finite groups, the vibrations of molecular and crystals, vibrational wave function, selection rules, and molecular approximations. These topics are followed by reviews of the basic of quantum mechanics, crystal field theory, atomic physics, hybrid functions, and molecular orbital theory. The last chapters describe the symmetry of crystal lattices, the band theory of solids, and the full rotation group. This book will be of value to undergraduate mathematics and physics students.

Frequently asked questions

Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.

At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.

Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.

We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.

Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.

Yes, you can access Introduction to Group Theory with Applications by Gerald Burns, Allen M. Alper,A. S. Nowick in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Academic Press

Year

2014

ISBN

9781483191492

Topic

Mathematics

Subtopic

Algebra

Index

Mathematics

Front Cover
Introduction to Group Theory with Applications
Copyright Page
Table of Contents
Dedication
PREFACE
ACKNOWLEDGMENTS
Chapter 1. SYMMETRY OPERATIONS
Chapter 2. GROUP CONCEPTS
Chapter 3. MATRIX REPRESENTATIONS OF FINITE GROUPS
Chapter 4. CHARACTERS OF MATRIX REPRESENTATIONS OF FINITE GROUPS
Chapter 5. VIBRATIONS OF MOLECULES AND CRYSTALS
Chapter 6. NORMAL MODES (DIRECT PRODUCT AND SELECTION RULES)
Chapter 7. QUANTUM MECHANICS
Chapter 8. CRYSTAL FIELD THEORY (AND ATOMIC PHYSICS)
Chapter 9. HYBRID FUNCTIONS
Chapter 10. MOLECULAR ORBITAL THEORY
Chapter 11. SYMMETRY OF CRYSTAL LATTICES
Chapter 12. BAND THEORY OF SOLIDS
Chapter 13. THE FULL ROTATION GROUP
Appendix 1: CRYSTAL SYSTEMS
Appendix 2: THE 32 POINT GROUPS
Appendix 3: CHARACTER TABLES
Appendix 4: SPACE GROUPS
Appendix 5: MATRICES, VECTOR SPACES, AND LINEAR OPERATORS
Appendix 6: DIRECT PRODUCT TABLES
Appendix 7: CORRELATION TABLES
Appendix 8: SPHERICAL HARMONICS
Appendix 9: TANABE–SUGANO DIAGRAMS
Appendix 10: DOUBLE GROUP CHARACTER TABLES
BIBLIOGRAPHY
INDEX