1 edition of A course on abstract algebra found in the catalog.
A course on abstract algebra
|Statement||Minking Eie, Shou-Te Chang|
|LC Classifications||QA162 .E375 2010|
|The Physical Object|
|Pagination||xii, 359 p. :|
|Number of Pages||359|
|LC Control Number||2010487358|
This textbook has more freedom than most but see some exceptions. It also covers Sylow theory and Jordan canonical form. I've recently finished the second year of math at university and I did fairly well in the classes I took this semester multivariable calculus, intro differential equations, intro linear algebra, intro abstract algebra. The topics under Groups include subgroups, permutation groups, finite abelian groups, Sylow theorems, direct products, group actions, solvable and nilpotent groups. Google search makes scanning the book quick and easy, the collapsible table of contents and the sidebar makes jumping around in the text simple.
You may modify copies of the book for your own use - for example, you may wish to change to a prefered notation for certain objects or add a few new sections. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. Learning Objectives and Summary with each chapter 2. The theory has been strongly supported by numerous examples and worked out problems. Table of Contents. One can even right-click on rendered LaTeX, like tables, and copy the underlying code which is super convenient for Cayley tables.
For instance, it's easy to cover the material on matrix groups and symmetry chapter 12 right after the intro coverage of groups chapter 3 if you want more concrete examples. Interface rating: 5 The UI of the text is amazingly clean and efficient. I used this book for my first step in abstract algebra. It offers abundant examples after each definition and theorem and the exercises after each section I believe this is one of the most succesful textbook designed for the beginners of abstract algebra.
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Accuracy rating: 4 I've noticed very few outright errors in the text proper.
It is this combination that allows the author to give you greater freedoms in how you use the text, thus liberating it from some of the antiquated notions of copyright that apply to books in physical form.
The only inconsistencies I've noticed involve the occasional definition appearing inline usually in a sentence motivating the definition instead of set aside in a text box. Still, it can make it hard to locate the precise definition quickly by scanning the section, but happens so rarely I won't detract a point.
It also covers Sylow theory and Jordan canonical form. Alternate proofs of some theorems and lemmas. Cultural Relevance rating: 5 Judson sticks to the math, so the text is pretty impersonal.
This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. I used this book for my first step in abstract algebra. It then goes on to cover groups, rings, vector spaces Linear Algebra and fields.
Free shipping for individuals worldwide Usually dispatched within 3 to 5 business days. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.
Under fields, algebraic extensions, splitting fields, normal and separable extensions, algebraically closed fields, Galois extensions and construction by ruler and compass are discussed.
Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. However, because I get four months off in the summer, I'm hoping to also learn from a more advanced textbook, which leads to the main question of the post: What do you think is a good second textbook for self-studying abstract algebra for someone who has taken a semester of algebra?
The best part of this book is the range of difficulty in exercises. Shelves: mathematics This is possibly one of the most elegant books on mathematics I have ever read. Moreover, many sections are punctuated, perhaps including no more than several definitions and propositions along with a historical note.
Or omit the chapters on integral domains with some minimal adjustmentlattices, and linear algebra if one is making a push to fields and Galois theory. I will note here that Judson avoids generators and relations. First, there is no cost to acquire this text, and you are under no obligation whatsoever to compensate or donate to the author or publisher.
Many sections and some chapters are written in a way that relies minimally on previous material which allows one to omit them or change the order of presentation without too much fuss.
In my opinion, homological algebra is too sophisticated of a subject to treat in a textbook like this. K Bhamri Book Summary: Designed for undergraduate and postgraduate students of mathematics the book can also be used by those preparing for various competitive examinations.
All of the exercises use this definition as well, and so I chose to mostly avoid the chapter on Galois theory in favor of a more standard presentation.
I've recently finished the second year of math at university and I did fairly well in the classes I took this semester multivariable calculus, intro differential equations, intro linear algebra, intro abstract algebra.
Abstract Algebra: Theory and Applications Everything you wanted to know about abstract algebra, but were afraid to buy Tom Judson's Abstract Algebra: Theory and Applications is an open source textbook designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner.
The section on vector spaces deals with linear transformations, inner product spaces, dual spaces, eigen spaces, diagonalizable operators etc.
Reviews Summary Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study.
A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding.in Algebra. I have tried to make it self-contained as much as possible. However, it may not be suitable for reading it for the ﬁrst course in abstract algebra.
It hits and goes through many basic points quickly. A typically mathematical book style that begins with some motivation, deﬁnitions, examples and theorems, is used throughout. Algebra I: A Basic Course in Abstract Algebra by Rajendra Kumar Sharma, Sudesh Kumari Shah, Asha Gauri Shankar Stay ahead with the world's most comprehensive.
course in abstract algebra, the course should begin with a review of such preliminaries as set theory, induction and the properties of integers.
In order to provide material for teachers who prefer to start the course in this fashion, I have added an Appendix with three brief chapters on. Rotman's book is a standard for first courses in Abstract Algebra. The book is easy to read and includes plenty of problems to work on.
He even includes several standard syllabi in the preface, depending on the type of course that may be taught with sylvaindez.com by: For example, I loved the definition-theorem-proof pattern that the abstract algebra course this semester followed. The algebra course at my school was quite standard, following the groups-rings-fields path.
We used Abstract Algebra: Theory and Applications by Tom Judson. We did skip over some chapters in the book, but I will finish learning.
Jan 24, · A first course in abstract algebra by Fraleigh, John B. Publication date Topics Algebra, Abstract Borrow this book to access EPUB and PDF files. Books to Borrow. Books for People with Print Disabilities. Internet Archive Books.
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