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Group Theory I Ugc Cbcs
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Book Synopsis Group Theory I ( UGC-CBCS) by : Dr. Manoranjan Kumar Singh & Dr. Shubh Narayan Singh
Download or read book Group Theory I ( UGC-CBCS) written by Dr. Manoranjan Kumar Singh & Dr. Shubh Narayan Singh and published by S. Chand Publishing. This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Group Theory I" is designed as per the UGC Choice Based Credit System (CBCS) curriculum to meet the requirement of undergraduate students of mathematics and aptly covers the fundamental principles, Homomorphisms and Isomorphisms, Subgroups, Symmetric, Abelian and Cyclic Groups among other topics. Written in a lucid and concise manner, the textbook is an adept balance between theory with practice.
Book Synopsis A Gentle Introduction to Group Theory by : Bana Al Subaiei
Download or read book A Gentle Introduction to Group Theory written by Bana Al Subaiei and published by Springer Nature. This book was released on 2023-05-31 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as an introductory course in group theory geared towards second-year university students. It aims to provide them with the background needed to pursue more advanced courses in algebra and to provide a rich source of examples and exercises. Studying group theory began in the late eighteenth century and is still gaining importance due to its applications in physics, chemistry, geometry, and many fields in mathematics. The text is broadly divided into three parts. The first part establishes the prerequisite knowledge required to study group theory. This includes topics in set theory, geometry, and number theory. Each of the chapters ends with solved and unsolved exercises relating to the topic. By doing this, the authors hope to fill the gaps between all the branches in mathematics that are linked to group theory. The second part is the core of the book which discusses topics on semigroups, groups, symmetric groups, subgroups, homomorphisms, isomorphism, and Abelian groups. The last part of the book introduces SAGE, a mathematical software that is used to solve group theory problems. Here, most of the important commands in SAGE are explained, and many examples and exercises are provided.
Book Synopsis A Course on Group Theory by : John S. Rose
Download or read book A Course on Group Theory written by John S. Rose and published by CUP Archive. This book was released on 1978-06-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced study focuses on finite groups and the idea of group actions. Chapters divided between normal and arithmetical structure of groups. 1978 edition.
Book Synopsis Group Theory I Essentials by : Emil Milewski
Download or read book Group Theory I Essentials written by Emil Milewski and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Group Theory I includes sets and mapping, groupoids and semi-groups, groups, isomorphisms and homomorphisms, cyclic groups, the Sylow theorems, and finite p-groups.
Download or read book Group Theory written by A.K. Sharma and published by Discovery Publishing House. This book was released on 2010 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book Group Theory has been written for the students of B.A/B.Sc., students. This book is also helpful to the candidate appearing in various competitions like pre Engineering/I.A.S/P.C.S etc. The book contains: Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, and Normal Subgroups. The proofs of various theorems and examples have been given minute deals each chapter of this book contains complete theory and fairly large number of solved examples. Contents: Groups, Homomorphism and Isomorphism, Subgroups of a Group, Permutation, Normal Subgroups.
Book Synopsis A Course in Group Theory by : J. F. Humphreys
Download or read book A Course in Group Theory written by J. F. Humphreys and published by Oxford University Press, USA. This book was released on 1996 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter ends with a summary of the material covered and notes on the history and development of group theory.
Book Synopsis A First Course in Group Theory by : Cyril F. Gardiner
Download or read book A First Course in Group Theory written by Cyril F. Gardiner and published by Springer. This book was released on 1980 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the difficulties in an introductory book is to communicate a sense of purpose. Only too easily to the beginner does the book become a sequence of definitions, concepts, and results which seem little more than curiousities leading nowhere in particular. In this book I have tried to overcome this problem by making my central aim the determination of all possible groups of orders 1 to 15, together with some study of their structure. By the time this aim is realised towards the end of the book, the reader should have acquired the basic ideas and methods of group theory. To make the book more useful to users of mathematics, in particular students of physics and chemistry, I have included some applications of permutation groups and a discussion of finite point groups. The latter are the simplest examples of groups of partic ular interest to scientists. They occur as symmetry groups of physical configurations such as molecules. Many ideas are discussed mainly in the exercises and the solutions at the end of the book. However, such ideas are used rarely in the body of the book. When they are, suitable references are given. Other exercises test and reinfol:'ce the text in the usual way. A final chapter gives some idea of the directions in which the interested reader may go after working through this book. References to help in this are listed after the outline solutions.
Download or read book Group Theory written by Dinesh Khattar and published by Springer. This book was released on 2023-08-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The contents focus on the properties of groups, subgroups, cyclic groups, permutation groups, cosets and Lagrange’s theorem, normal subgroups and factor groups, group homomorphisms and isomorphisms, automorphisms, direct products, group actions and Sylow theorems. Pedagogical elements such as end of chapter exercises and solved problems are included to help understand abstract notions. Intermediate lemmas are also carefully designed so that they not only serve the theorems but are also valuable independently. The book is a useful reference to undergraduate and graduate students besides academics.
Book Synopsis A Course in the Theory of Groups by : Derek J.S. Robinson
Download or read book A Course in the Theory of Groups written by Derek J.S. Robinson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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
Download or read book Group Theory written by Michio Suzuki and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Group Theory by : Ahmed Ayache
Download or read book Introduction to Group Theory written by Ahmed Ayache and published by Springer. This book was released on 2024-11-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at undergraduate mathematics students, this book aims to cover courses in group theory. Based on lectures in group theory, it includes many illustrations and examples, numerous solved exercises and detailed proofs of theorems. The book acts as a guide to teachers and is also useful to graduate students. The book discusses major topics in group theory such as groups and subgroups, binary operations, fundamental algebraic structure of groups, symmetric groups, cyclic groups, normal subgroups, quotient groups, homomorphisms, isomorphisms, direct product of groups, simple groups, set on a group, Sylow's theorem, finite group, Abelian groups and non-isomorphic Abelian groups.
Download or read book Group Theory written by Kaiming Zhao and published by Kendall/Hunt Publishing Company. This book was released on 2021-08-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory is intended as a textbook for a one-term course in group theory for senior undergraduate or graduate students. It provides students with good insight into group theory as quickly as possible. Simplicity and working knowledge are emphasized here over mathematical completeness. This book will provide a rigorous proof-based modern treatment of the main results of group theory. As a result, proofs are in great details with a lot of interesting examples. This book can also serve as a reference for professional mathematicians. The book contains 221 carefully selected exercises of varying difficulty which will allow students to practice their own computational and proof-writing skills. Sample solutions to some exercise questions are provided, from which students can learn to write their own solutions and proofs. Besides standard ones, many of the exercises are very interesting. Group Theory includes: basic properties of groups symmetric groups and alternating groups isomorphism theorems, commutator subgroups, direct and semi-direct products of groups group action on sets, Cauchy-Frobenius Lemma, symmetries of the regular polyhedrons Jordan-Holder Theorem and Sylow Theorems free groups, group presentations, finitely generated abelian groups solvable groups, Hall subgroups, characteristically simple groups, Sylow systems and Sylow bases nilpotent groups, Frattini subgroups basic properties of representations of groups on vector spaces, subrepresentations; irreducibility, Schur's Lemma, and Maschke's Theorem
Book Synopsis Group Theory and Its Applications by : Ernest M. Loebl
Download or read book Group Theory and Its Applications written by Ernest M. Loebl and published by . This book was released on 1971 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory and Its Applications...
Book Synopsis Group Theory Made Easy for Scientists and Engineers by : Nyayapathi Venkata Vykuntha Jagannadha Swamy
Download or read book Group Theory Made Easy for Scientists and Engineers written by Nyayapathi Venkata Vykuntha Jagannadha Swamy and published by John Wiley & Sons. This book was released on 1979 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Constructive Development of Group-theory by : Burton Scott Easton
Download or read book The Constructive Development of Group-theory written by Burton Scott Easton and published by . This book was released on 1902 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Theory by : Sudesh Kumari Shah (hor)
Download or read book Group Theory written by Sudesh Kumari Shah (hor) and published by . This book was released on 2013 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis First Course in Group Theory by : Phani Bhushan Bhattacharya
Download or read book First Course in Group Theory written by Phani Bhushan Bhattacharya and published by . This book was released on 1972 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
