Basic Modern Algebra With Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Basic Modern Algebra With Applications PDF full book. Access full book title Basic Modern Algebra With Applications.
Author | : Mahima Ranjan Adhikari |
Publisher | : Springer Science & Business Media |
Total Pages | : 650 |
Release | : 2013-12-08 |
Genre | : Mathematics |
ISBN | : 8132215990 |
Download Basic Modern Algebra with Applications Book in PDF, ePub and Kindle
The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theory to structure theory of rings and homological algebra. Algebraic aspects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraic topology, category theory, algebraic geometry, algebraic number theory, cryptography and theoretical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, with the help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, examples, exercises and historical notes represents a valuable and unique resource.
Author | : William J Gilbert |
Publisher | : John Wiley & Sons |
Total Pages | : 366 |
Release | : 2008-09 |
Genre | : |
ISBN | : 9788126518302 |
Download MODERN ALGEBRA WITH APPLICATIONS Book in PDF, ePub and Kindle
Market_Desc: Upper undergraduate and graduate level modern algebra courses Special Features: · Includes applications so students can see right away how to use the theory· This classic text has sold almost 12,000 units· Contains numerous examples· Includes chapters on Boolean Algebras, groups, quotient groups, symmetry groups in three dimensions, Polya-Burnside method of enumeration, monoids and machines, rings and fields, polynomial and Euclidean rings, quotient rings, field extensions, Latin squares, geometrical constructions, and error-correcting codes· Andwers to odd-numbered exercises so students can check their work About The Book: The book covers all the group, ring, and field theory that is usually contained in a standard modern algebra course; the exact sections containing this material are indicated in the Table of Contents. It stops short of the Sylow theorems and Galois theory. These topics could only be touched on in a first course, and the author feels that more time should be spent on them if they are to be appreciated.
Author | : Nadiya Gubareni |
Publisher | : CRC Press |
Total Pages | : 363 |
Release | : 2021-06-23 |
Genre | : Mathematics |
ISBN | : 1000209539 |
Download Introduction to Modern Algebra and Its Applications Book in PDF, ePub and Kindle
The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis. Key Features: Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications. Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty. Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.
Author | : Thomas Judson |
Publisher | : Orthogonal Publishing L3c |
Total Pages | : 0 |
Release | : 2023-08-11 |
Genre | : |
ISBN | : 9781944325190 |
Download Abstract Algebra Book in PDF, ePub and Kindle
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Author | : Charles C Pinter |
Publisher | : Courier Corporation |
Total Pages | : 402 |
Release | : 2010-01-14 |
Genre | : Mathematics |
ISBN | : 0486474178 |
Download A Book of Abstract Algebra Book in PDF, ePub and Kindle
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.
Author | : Audrey Terras |
Publisher | : Cambridge University Press |
Total Pages | : 331 |
Release | : 2018-12-20 |
Genre | : Mathematics |
ISBN | : 1107164079 |
Download Abstract Algebra with Applications Book in PDF, ePub and Kindle
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
Author | : Derek J.S. Robinson |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 348 |
Release | : 2015-05-19 |
Genre | : Mathematics |
ISBN | : 3110340879 |
Download Abstract Algebra Book in PDF, ePub and Kindle
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.
Author | : David R. Finston |
Publisher | : Springer |
Total Pages | : 194 |
Release | : 2014-08-29 |
Genre | : Mathematics |
ISBN | : 3319044982 |
Download Abstract Algebra Book in PDF, ePub and Kindle
This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.
Author | : Allan Clark |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2012-07-06 |
Genre | : Mathematics |
ISBN | : 0486140350 |
Download Elements of Abstract Algebra Book in PDF, ePub and Kindle
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 762 |
Release | : 2007-07-28 |
Genre | : Mathematics |
ISBN | : 0817645292 |
Download Basic Algebra Book in PDF, ePub and Kindle
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.