Tables for Group Theory
Author | : Peter William Atkins |
Publisher | : |
Total Pages | : 38 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : |
Download Tables For Group Theory full books in PDF, epub, and Kindle. Read online free Tables For Group Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Peter William Atkins |
Publisher | : |
Total Pages | : 38 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : |
Author | : Simon L. Altmann |
Publisher | : Oxford University Press, USA |
Total Pages | : 740 |
Release | : 1994 |
Genre | : Literary Criticism |
ISBN | : |
This book--a unique reference for all those who use point groups--presents tables much improved over those previously available. They are more extensive, providing 75 point groups and their double groups. And they are more precise and complete--all symmetry operations are uniquely parameterized and their multiplication tables (including the double groups) are given. Full matrix representations are provided and particular attention has been paid to keeping phase factors constant on subduction along group chains. A theoretical introduction contains an extensive list of the subject's important results, a very clear statement of all conventions required, and detailed instructions--with examples--showing how to use the tables. Solved problems appear throughout the book. Besides being an indispensable reference tool for anyone who uses point groups, this book is an ideal resource for students taking group theory, chemistry, and physics courses.
Author | : Nathan Carter |
Publisher | : American Mathematical Soc. |
Total Pages | : 295 |
Release | : 2021-06-08 |
Genre | : Education |
ISBN | : 1470464330 |
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
Author | : Mildred S. Dresselhaus |
Publisher | : Springer Science & Business Media |
Total Pages | : 576 |
Release | : 2007-12-18 |
Genre | : Science |
ISBN | : 3540328998 |
This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.
Author | : Peter William Atkins (Chemist, Great Britain) |
Publisher | : |
Total Pages | : 32 |
Release | : 1978 |
Genre | : |
ISBN | : |
Author | : David M. Bishop |
Publisher | : Courier Corporation |
Total Pages | : 322 |
Release | : 2012-07-12 |
Genre | : Science |
ISBN | : 0486132323 |
Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.
Author | : Mildred S. Dresselhaus |
Publisher | : Springer Science & Business Media |
Total Pages | : 576 |
Release | : 2007-12-13 |
Genre | : Science |
ISBN | : 3540328971 |
This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.
Author | : Philip H. Butler |
Publisher | : Springer Science & Business Media |
Total Pages | : 564 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461331412 |
The mathematical apparatus of group theory is a means of exploring and exploiting physical and algebraic structure in physical and chemical prob lems. The existence of structure in the physical processes leads to structure in the solutions. For group theory to be useful this structure need not be an exact symmetry, although as examples of exact symmetries we have that the identity of electrons leads to permutation symmetries in many-electron wave functions, the spatial structure of crystals leads to the Bloch theory of crystal eigenfunctions, and the rotational invariance of the hydrogenic Hamiltonian leads to its factorization into angular and radial parts. In the 1930's Wigner extended what is known to mathematicians as the theory of group representations and the theory of group algebras to study the coupling coefficients of angular momentum, relating various properties of the coefficients to the properties of the abstract group of rotations in 3-space. In 1949 Racah, in a paper on rare earth spectra, showed that similar coefficients occur in other situations. Immediately a number of studies of the coefficients were begun, notably by Jahn, with his applications in nuclear physics. In the years since then a large number of physicists and chemists have added to the development of a general theory of the coefficients, or have produced specialized tables for a specific application. Applications now range from high-energy physics to biology.
Author | : Gordon James |
Publisher | : Cambridge University Press |
Total Pages | : 436 |
Release | : 2001-10-18 |
Genre | : Mathematics |
ISBN | : 1139811053 |
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.