A Textbook of B.Sc. Mathematics Abstract Algebra

A Textbook of B.Sc. Mathematics Abstract Algebra PDF Author: V. Venkateswara Rao, N. Krishnamurthy, B.V.S.S. Sarma S. Anjaneya Sastry, S. Ranganatham & R. Bharavi Sharma
Publisher: S. Chand Publishing
ISBN: 9352832507
Category : Science
Languages : en
Pages :

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Book Description
A Textbook of B.Sc. Mathematics Abstract Algebra

A Textbook of B.Sc. Mathematics Abstract Algebra

A Textbook of B.Sc. Mathematics Abstract Algebra PDF Author: V. Venkateswara Rao, N. Krishnamurthy, B.V.S.S. Sarma S. Anjaneya Sastry, S. Ranganatham & R. Bharavi Sharma
Publisher: S. Chand Publishing
ISBN: 9352832507
Category : Science
Languages : en
Pages :

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Book Description
A Textbook of B.Sc. Mathematics Abstract Algebra

A Textbook of B.Sc. Mathematics Linear Algebra

A Textbook of B.Sc. Mathematics Linear Algebra PDF Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry, S Ranganatham & Dr. R Bharavi Sharma
Publisher: S. Chand Publishing
ISBN: 9352835271
Category : Science
Languages : en
Pages :

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Book Description
This "Textbook of B.Sc Mathematics" for the students studying third year first semester in all universities of Telangana state was first published in the year 1988 and has undergone several editions and many reprints.

A Textbook of B.Sc. Mathematics

A Textbook of B.Sc. Mathematics PDF Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry & S Ranganatham
Publisher: S. Chand Publishing
ISBN: 9352836278
Category : Science
Languages : en
Pages :

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Book Description
This book has been thoroughly revised according to the syllabus of 1st year's 2nd semester students of all universities in Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 1st year, 2nd semester of the theory as well as practical.

A Textbook of Algebra

A Textbook of Algebra PDF Author: Shah, S.K. & Garg, S.C.
Publisher: Vikas Publishing House
ISBN: 9352710827
Category : Mathematics
Languages : en
Pages :

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Book Description
The book caters to the 1st semester students of BSc (Hons) Mathematics of Indian universities. It has been written strictly in accordance with the CBCS syllabus of the UGC. The book teaches the concepts and techniques of basic algebra with a focus on explaining definitions and theorems, and creating proofs. The theory is supported by numerous examples and plenty of worked-out problems. Its strict logical organization has been designed to help the reader to develop confidence in the subject. By introducing various interesting applications of algebra the book also aims at creating a broad and solid foundation for the study of advanced mathematics.The contents covered in the book are equivalence relations, functions, cardinality, congruence-modulo, mathematical induction and De Moivre's theorem. Further, some basic topics of linear algebra like vectors and matrices, linear equations, Gauss elimination, subspace and its dimension, rank-nullity theorem, linear trans-formations and their relations to matrices, and eigenvalues and eigenvectors are also covered. Since practice makes the man perfect, there are a good number of problems that stretch the thinking power of the learner. The problems are graded from easy to those involving higher order thinking. By its virtue the book inculcates that mathe-matical maturity which students need in their current and future courses to grow up into mathematicians of substance.

Abstract Algebra

Abstract Algebra PDF Author: Gary L. Mullen
Publisher: CRC Press
ISBN: 1482250098
Category : Mathematics
Languages : en
Pages : 213

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Book Description
Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the ‘everything for everyone’ approach so common in textbooks. Instead, they provide the reader with coverage of numerous algebraic topics to cover the most important areas of abstract algebra. Through a careful selection of topics, supported by interesting applications, the authors Intend the book to be used for a one-semester course in abstract algebra. It is suitable for an introductory course in for mathematics majors. The text is also very suitable for education majors who need to have an introduction to the topic. As textbooks go through various editions and authors employ the suggestions of numerous well-intentioned reviewers, these book become larger and larger and subsequently more expensive. This book is meant to counter that process. Here students are given a "gentle introduction," meant to provide enough for a course, yet also enough to encourage them toward future study of the topic. Features Groups before rings approach Interesting modern applications Appendix includes mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex nubers. Numerous exercises at the end of each section Chapter "Hint and Partial Solutions" offers built in solutions manual

A Book of Abstract Algebra

A Book of Abstract Algebra PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Abstract Algebra

Abstract Algebra PDF Author: Thomas W. Judson
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

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Book Description


Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields PDF Author: Steven Howard Weintraub
Publisher: World Scientific
ISBN: 9811246688
Category : Mathematics
Languages : en
Pages : 438

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Book Description
This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level.It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers.In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory.As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular.Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.

Abstract Algebra

Abstract Algebra PDF Author: Joseph H. Silverman
Publisher: American Mathematical Society
ISBN: 1470468603
Category : Mathematics
Languages : en
Pages : 567

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Book Description
This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.

Contemporary Abstract Algebra

Contemporary Abstract Algebra PDF Author: Joseph A. Gallian
Publisher: Thomson Brooks/Cole
ISBN: 9781133606758
Category : Algebra, Abstract
Languages : en
Pages : 640

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Book Description
Contemporary Abstract Algebra, 8/e, International Edition provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject a current feel which makes the content interesting and relevant for students.