fundamentals of modern algebra a global perspective

Download Book Fundamentals Of Modern Algebra A Global Perspective in PDF format. You can Read Online Fundamentals Of Modern Algebra A Global Perspective here in PDF, EPUB, Mobi or Docx formats.

Fundamentals Of Modern Algebra

Author : Robert G Underwood
ISBN : 9789814730310
Genre : Mathematics
File Size : 71. 77 MB
Format : PDF, ePub
Download : 168
Read : 472

Download Now


The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The target audience for this book is first-year graduate students in mathematics, though the first two chapters are probably accessible to well-prepared undergraduates. The book covers a broad range of topics in modern algebra and includes chapters on groups, rings, modules, algebraic extension fields, and finite fields. Each chapter begins with an overview which provides a road map for the reader showing what material will be covered. At the end of each chapter we collect exercises which review and reinforce the material in the corresponding sections. These exercises range from straightforward applications of the material to problems designed to challenge the reader. We also include a list of "Questions for Further Study" which pose problems suitable for master's degree research projects.

Fundamentals Of Abstract Algebra

Author : D. S. Malik
ISBN : 0070400350
Genre : Mathematics
File Size : 50. 85 MB
Format : PDF, Kindle
Download : 819
Read : 1324

Download Now


Each chapter consists of definitions, theorem, proofs and corollaries. There are also numerous examples to help illustrate the concepts. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra

Modern Algebra

Author : John R. Durbin
ISBN : 9781118117613
Genre : Mathematics
File Size : 78. 33 MB
Format : PDF, ePub, Docs
Download : 385
Read : 1205

Download Now


Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully. It introduces the most important kinds of algebraic structures, and helps them improve their ability to understand and work with abstract ideas. New and revised exercise sets are integrated throughout the first four chapters. A more in-depth discussion is also included on Galois Theory. The first six chapters provide engineers and computer scientists with the core of the subject and then the book explores the concepts in more detail.

Elements Of Modern Algebra

Author : Linda Gilbert
ISBN : 9781285965918
Genre : Mathematics
File Size : 72. 20 MB
Format : PDF, ePub, Docs
Download : 920
Read : 534

Download Now


ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Abstract Algebra

Author : David R. Finston
ISBN : 9783319044989
Genre : Mathematics
File Size : 50. 96 MB
Format : PDF, ePub, Mobi
Download : 925
Read : 307

Download Now


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.

Abstract Algebra

Author : Stephen Lovett
ISBN : 9781482248913
Genre : Mathematics
File Size : 67. 32 MB
Format : PDF, Mobi
Download : 633
Read : 283

Download Now


A Discovery-Based Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics. "Lovett (Wheaton College) takes readers through the variegated landscape of algebra, from elementary modular arithmetic through groups, semigroups, and monoids, past rings and fields and group actions, beyond modules and algebras, to Galois theory, multivariable polynomial rings, and Gröbner bases." Choice Reviewed: Recommended

Fundamentals Of Group Theory

Author : Steven Roman
ISBN : 9780817683016
Genre : Mathematics
File Size : 26. 42 MB
Format : PDF, ePub
Download : 869
Read : 274

Download Now


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.

Foundations Of Algebraic Geometry

Author : AndrŽ Weil
ISBN : 9780821810293
Genre : Mathematics
File Size : 39. 18 MB
Format : PDF, ePub
Download : 436
Read : 958

Download Now


This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

Abstract Algebra

Author : Thomas W. Judson
ISBN : 1944325050
Genre : Mathematics
File Size : 34. 93 MB
Format : PDF, ePub
Download : 328
Read : 393

Download Now


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.

Fundamentals Of Advanced Mathematics 1

Author : Henri Bourles
ISBN : 9780081021125
Genre : Mathematics
File Size : 25. 65 MB
Format : PDF, ePub, Docs
Download : 445
Read : 199

Download Now


This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. Part of the New Mathematical Methods, Systems, and Applications series Presents the notions, results, and proofs necessary to understand and master the various topics Provides a unified notation, making the task easier for the reader. Includes several summaries of mathematics for engineers

Top Download:

Best Books