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Return to Book Page. Preview — Abstract Algebra by Dan Saracino. The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this book's main strengths as it introduces abstract algebra. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise.
Theorem proofs do more than just prove the stated results, they The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this book's main strengths as it introduces abstract algebra.
Theorem proofs do more than just prove the stated results, they are examined so readers can gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight.
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Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 3. Rating details. More filters. Sort order. May 18, Eli rated it really liked it Shelves: math. A very good intro book for abstract algebra.
It's short and sweet, but according to people who know more about the subject than I do, it has everything you should get in a first course. The style is conversational with lots of examples, but is not overly wordy. The theorems stand out visually from the page enough to find them, and a good amount of details are omitted as exercises. The problems are a good mix of difficulty. Comparing it to Lang I see now that they are a bit on the easy side, but A very good intro book for abstract algebra.
Comparing it to Lang I see now that they are a bit on the easy side, but still time-consuming and non-trivial, especially the later ones in the set. Almost all are proof-based. May 29, Babak rated it it was amazing.
This was the first book I read about group theory many years ago. It is a basic book on Group, Ring and Field Theories. But I have to say I've never seen any other book explaining the abstract concepts this beautifully.
After you read this book, you kind of wish that all the books in mathematics were written like this :]. Jared Moljo rated it really liked it Aug 17, Chris rated it it was amazing Dec 26, James rated it liked it Jun 28, Travers Grayson rated it it was amazing Aug 27, Kate Smith rated it liked it May 28, Jeffrey rated it it was amazing Aug 14, Shannon Fay rated it really liked it Jan 17, Hong rated it it was amazing Mar 11, Quintin rated it it was amazing Jan 16, Connor Carter rated it liked it May 11, Jovany Agathe rated it did not like it Feb 22, Rafael Gonzalez rated it really liked it Nov 24, Andrew Peterson rated it liked it Jul 29, Booky Bookworm rated it really liked it Jun 21, Andrew Smith rated it it was amazing May 01, Shawn Smith rated it it was amazing Oct 25, FalconMoon rated it liked it Aug 25, Jonathan rated it it was amazing Dec 24, Pranita Singh rated it did not like it May 27, Jeff rated it really liked it Jan 06, Karen added it Jul 02, Hogan is currently reading it Mar 11, Ali sharif added it Jul 01, Mattaddis added it May 31, Namarta marked it as to-read Sep 06, Umoni marked it as to-read Jul 10, Dire West marked it as to-read Aug 11, Saghi marked it as to-read Sep 18, Sheryl Olszewski added it Jan 19, Tom added it May 18, Khadija marked it as to-read Aug 22, Ghrang Cji marked it as to-read Sep 10, Sanaz marked it as to-read Oct 12, Amit Sharma marked it as to-read Oct 19, Sarita Sharma marked it as to-read Dec 07, Delta marked it as to-read Jan 08, Com marked it as to-read Jul 13, Emre Erkmen marked it as to-read Jul 26, Piyush Gupta added it Sep 04, BookDB marked it as to-read Sep 14, Arash Ashrafzadeh marked it as to-read Mar 07, Priya Frank marked it as to-read Aug 29, Alexander Shelemin marked it as to-read Sep 26, There are no discussion topics on this book yet.
Readers also enjoyed. About Dan Saracino. Dan Saracino. Books by Dan Saracino. As dedicated readers already know, some of the best and most innovative stories on the shelves come from the constantly evolving realm of young ad Read more Trivia About Abstract Algebra No trivia or quizzes yet.
Abstract Algebra: A First Course
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Abstract algebra is one of the core subjects of theoretical mathematics, and it is often the first place where students encounter fully abstract mathematical thinking. That is, the objects that are studied in abstract algebra are defined in a purely abstract way, by a set of axioms, and the subject consists of the exploration of the properties implied by those axioms. The tools are definitions, theorems, and proofs. Nevertheless, abstract algebra is inspired by the real world, and it has turned out to be one of the most applicable areas of theoretical math. This is a course in group theory.