Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in depth introduction to abstract algebra Focused on groups, rings and fields, this text gives students a firm foundation for specialized work by emphasizing an understanding of the nature of algebraic
Widely acclaimed algebra text This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some
This text for a second course in linear algebra is aimed at math majors and graduate students The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra understanding the structure of linear operators on vector spaces The author
Lang s Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra It has affected all subsequent graduate level algebra books NOTICES OF THE AMS The author has an impressive knack for
This exposition is clear enough that an average graduate studen can read the text on his own and understand most of it.
New edition includes extensive revisions of the material on finite groups and Galois Theory New problems added throughout.
Helps readers use examples to solve problems brush up before tests find answers study effectively and get the big picture without poring over lengthy textbooks This guide provides explanations of eigenvalues, eigenvectors, linear transformations, linear equations, vectors, and matrices.
Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.
This informally written text provides students with a clear introduction into the subject of linear algebra Topics covered include matrix multiplication, row reduction, matrix inverse, orthogonality and computation The self teaching book is loaded with examples and graphics and provides a wide
Contains complete worked solutions to all regular exercises and computer exercises in the text additional test questions and their solutions an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key and links on the author s
Joseph Gallian is a well known active researcher and award winning teacher His Contemporary Abstract Algebra, 6 e, includes challenging topics in abstract algebra as well as numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings that give the subject
Linear Algebra is intended for a one term course at the junior or senior level It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms,
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality The book then turns to adjoint functors, which provide a
Fieldsaresetsinwhichallfouroftherationaloperations, memorablydescribed by the mathematician Lewis Carroll as perdition, distraction, ugli cation and derision, can be carried out They are assuredly the most natural of algebraic objects, since most of mathematics takes place in one eld or another,