Author | : B. Sury |
Publisher | : Universities Press |
Total Pages | : 172 |
Release | : 2004-10 |
Genre | : |
ISBN | : 9788173714917 |
Author | : B. Sury |
Publisher | : Universities Press |
Total Pages | : 172 |
Release | : 2004-10 |
Genre | : |
ISBN | : 9788173714917 |
Author | : John D. Dixon |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486459160 |
265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
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 | : John S. Rose |
Publisher | : Courier Corporation |
Total Pages | : 322 |
Release | : 2013-05-27 |
Genre | : Mathematics |
ISBN | : 0486170667 |
Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
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 | : I. Martin Isaacs |
Publisher | : American Mathematical Society |
Total Pages | : 368 |
Release | : 2023-01-24 |
Genre | : Mathematics |
ISBN | : 1470471604 |
The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it. Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993, to name only a few. He was also honored by being the selected MAA Pólya Lecturer in 2003–2005.
Author | : Grigore Calugareanu |
Publisher | : Springer Science & Business Media |
Total Pages | : 376 |
Release | : 2003-04-30 |
Genre | : Mathematics |
ISBN | : 9781402011832 |
This is the first book on Abelian Group Theory (or Group Theory) to cover elementary results in Abelian Groups. It contains comprehensive coverage of almost all the topics related to the theory and is designed to be used as a course book for students at both undergraduate and graduate level. The text caters to students of differing capabilities by categorising the exercises in each chapter according to their level of difficulty starting with simple exercises (marked S1, S2 etc), of medium difficulty (M1, M2 etc) and ending with difficult exercises (D1, D2 etc). Solutions for all of the exercises are included. This book should also appeal to experts in the field as an excellent reference to a large number of examples in Group Theory.
Author | : Michael Tinkham |
Publisher | : Courier Corporation |
Total Pages | : 354 |
Release | : 2012-04-20 |
Genre | : Science |
ISBN | : 0486131661 |
This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.