Introduction to Abstract Algebra 4th Edition by W. Keith Nicholson (PDF)

Description

Praise for the Third Edition”. . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . .”—Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book’s unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.The Fourth Edition features important concepts as well as specialized topics, including:The treatment of nilpotent groups, including the Frattini and Fitting subgroupsSymmetric polynomialsThe proof of the fundamental theorem of algebra using symmetric polynomialsThe proof of Wedderburn’s theorem on finite division ringsThe proof of the Wedderburn-Artin theoremThroughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book’s exercises.Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I have noticed problem with the ebook version of this book. For a particular problem Section 1.3 question 25. There are suppose to be 6 parts to the problem. However in the ebook they only contain the first problem.

⭐I like the book. I use this to refresh my mathematical nostalgia of my undergraduate days in 1950’s.

⭐I would recommend this product to people who need it for an algebra class, or people who want to teach themselves the fundamentals of abstract algebra.I’d have to say that the proofs aren’t always the most elegant, and some of the notations are simplified for novice readers, but it’s fairly complete and intelligible.

⭐The typeset is professional, the structure of each chapter is logical and concise, and the book covers the important topics of algebra.

⭐I use this for my algebraic structure class….I like how the author makes it very possible to self-study from this book

⭐Good.

⭐Quote from page 26 of the second edition:”Anthropologists tell us that even the most primitive societies…have developed some sort of terminology for the numbers 1, 2, and 3. As a culture develops, it needs more sophisticated counting to deal with commerce, warfare, the calendar, and so on.”Excuse me, but I’m pretty sure that any Anthropologist worth their spit would not use such ethnocentric language.

⭐The book skips too many steps. It assumes that you are already familiar with the material.

⭐Handwerklich gut gemacht … aber für mich zu langweilig dargestellt. Definition – Theorem – Corollary – Conjecture. Das ist Mathematik dargestellt wie gehabt. Ich hätte auch mehr die Darstellung von Zusammenhängen mit anderen Gebieten der Mathematik und auch mit der theoretischen Physik erwartet. Warum definiert man die Matrizen-Multiplikation so und nicht anders? Warum gibt es ein Vektorprodukt nur in bestimmten Dimensionen? Dazu gibt es keine Antworten.I recommend this book because, compared to its third edition the font is much more easy to read. Secondly, the author takes great care in explaning things with precise detales. Finally, everything is very well organised and easy to find.

⭐The product matched the description and was delivered on time!

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