A Course In The Theory Of Groups PDF Download
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Author | : Derek J.S. Robinson |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468401289 |
Download A Course in the Theory of Groups Book in PDF, ePub and Kindle
" A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-line explanation as any. The concept of a group is surely one of the central ideas of mathematics. Certainly there are a few branches of that science in which groups are not employed implicitly or explicitly. Nor is the use of groups confined to pure mathematics. Quantum theory, molecular and atomic structure, and crystallography are just a few of the areas of science in which the idea of a group as a measure of symmetry has played an important part. The theory of groups is the oldest branch of modern algebra. Its origins are to be found in the work of Joseph Louis Lagrange (1736-1813), Paulo Ruffini (1765-1822), and Evariste Galois (1811-1832) on the theory of algebraic equations. Their groups consisted of permutations of the variables or of the roots of polynomials, and indeed for much of the nineteenth century all groups were finite permutation groups. Nevertheless many of the fundamental ideas of group theory were introduced by these early workers and their successors, Augustin Louis Cauchy (1789-1857), Ludwig Sylow (1832-1918), Camille Jordan (1838-1922) among others. The concept of an abstract group is clearly recognizable in the work of Arthur Cayley (1821-1895) but it did not really win widespread acceptance until Walther von Dyck (1856-1934) introduced presentations of groups.
Author | : John S. Rose |
Publisher | : Courier Corporation |
Total Pages | : 322 |
Release | : 2013-05-27 |
Genre | : Mathematics |
ISBN | : 0486170667 |
Download A Course on Group Theory Book in PDF, ePub and Kindle
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 | : Derek J.S. Robinson |
Publisher | : Springer Science & Business Media |
Total Pages | : 518 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1441985948 |
Download A Course in the Theory of Groups Book in PDF, ePub and Kindle
"An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM
Author | : Bijan Davvaz |
Publisher | : Springer Nature |
Total Pages | : 300 |
Release | : 2021-11-10 |
Genre | : Mathematics |
ISBN | : 9811663653 |
Download A First Course in Group Theory Book in PDF, ePub and Kindle
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
Author | : Steven Roman |
Publisher | : Springer Science & Business Media |
Total Pages | : 385 |
Release | : 2011-10-26 |
Genre | : Mathematics |
ISBN | : 0817683011 |
Download Fundamentals of Group Theory Book in PDF, ePub and Kindle
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Author | : Nathan Carter |
Publisher | : American Mathematical Soc. |
Total Pages | : 295 |
Release | : 2021-06-08 |
Genre | : Education |
ISBN | : 1470464330 |
Download Visual Group Theory Book in PDF, ePub and Kindle
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 | : Derek John Scott Robinson |
Publisher | : |
Total Pages | : 499 |
Release | : 1996 |
Genre | : |
ISBN | : 9783540944614 |
Download A Course in the Theory of Groups Book in PDF, ePub and Kindle
Author | : Derek J. S. Robinson |
Publisher | : |
Total Pages | : 524 |
Release | : 2011-08-28 |
Genre | : |
ISBN | : 9781441985958 |
Download A Course in the Theory of Groups Book in PDF, ePub and Kindle
Author | : Bertram A. F. Wehrfritz |
Publisher | : World Scientific |
Total Pages | : 138 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9789810238742 |
Download Finite Groups Book in PDF, ePub and Kindle
The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.
Author | : J. F. Humphreys |
Publisher | : Oxford University Press, USA |
Total Pages | : 296 |
Release | : 1996 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780198534594 |
Download A Course in Group Theory Book in PDF, ePub and Kindle
Each chapter ends with a summary of the material covered and notes on the history and development of group theory.