Joseph Gallian is a well-known active researcher and award-winning teacher. His Contemporary Abstract Algebra, 6/e, includes challenging topics in abstract. CONTEMPORARY ABSTRACT ALGEBRA, NINTH EDITION provides a solid introduction to the traditional topics in abstract algebra while. And according to this criterion, Contemporary Abstract Algebra by Joseph Gallian is a well-written book. After introducing a new concept or.
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Resources for Abstract Algebra
Because the book is in multiple parts, I will be taking some time to study a few other topics and the come back to this awesome book. The first problem is, I don’t believe in the purely abstract approach to teaching a first course in algebra which this book uses. In fact, if this is not your textbook for Abstract Algebra, it should definitely be a companion to your text.
This book doesn’t give you any real idea what the heck algebra is good for and doesn’t provide any real connections to anything else.
Feb 01, Nitin Pant rated it really liked it. This book is very accurate and josepb written, with very few typos all of them minora very good choice and variety of relevant exercises at different level of complexity the majority of them are actually pretty easywith minimal and only occasional hand-waving; it is also a book rich with examples a critical feature in a subject that sometimes can sorely test the abstract thinking capabilities of even the keenest readerand presenting a tightly organized and generally reader-friendly progression of concepts and techniques.
Before I delve into an analysis of this excellent textbook, let me highlight first that abstract algebra, contrary to much uniformed opinion, is not a specialistic, esoteric field in pure mathematics characterized by very limited applicability to the physical world. In the biological sciences, I was told my gal,ian knowledge of the biological sciences is pretty rudimentary that symmetry and symmetry breaking play a prominent role in developmental biology, from bilaterians to radially symmetric organisms see for example https: This dontemporary is so amazing Not recommended for the serious reader.
If you don’t like this book, then fuck you.
This book changed my life! Christopher Farah rated contemplrary really liked it Nov 08, Gauri Singh rated it really liked it Nov 20, Groups and rings are extremely powerful concepts, but to read this book you would think they are just a game where you write down some axioms and see what random statements you can prove.
I love that the author takes time to express useful applications of the materials being covered. Sep 06, WarpDrive rated it really liked it Shelves: Jovany Agathe rated it did not like it Nov 28, Apr 29, Michael rated it did not like it Shelves: Algfbra is no excuse for this. The best intro to abstract algebra out there. Rizwan rated it it was amazing Jul 20, I cannot wait to get back into it.
This book doesn’t give you any real idea what the heck algebra is good for and doesn’t This book is OK as far as presenting abstract algfbra in the usual way to undergrads.
Contemporary Abstract Algebra – Joseph Gallian – Google Books
There were a few places in the book that took some time to get through and were confusing, however; with some additional aid online made it through to rings. No one should buy this book or require it for a course at such algebbra exorbitant price. Hardcoverpages. Want to Read Currently Reading Read. Thanks for telling us about the problem. Joseph Gallian is a well-known active researcher and award-winning teacher.
Adding hours on a clock, for example, is like working in a cyclic group; many manufacturing processes might be shown to be isomorphic to products of permutations of a finite group; and group theory and abstract algebra applied to molecular systems biology support the design of new drugs.
I must also point out, though, that this book contains one of the best treatments of factor groups, the Lagrange theorem, the Sylow theorems and the fundamental theorem of finite abelian groups that I have come across so far. I did find useful information that helped me in the class, but gallia was very limited. It is also important to highlight alyebra symmetry in general is fundamental in the physical world: Moreover, group theory has many applications in cryptography, robotics and fallian vision, just as another example of concrete application of abstract algebra concepts.
Aug 22, Narendra rated it really liked it. Be the first to ask a question about Contemporary Abstract Algebra. Gallian for the armchair mathematician. None of this cnotemporary unique to this book.
Contemporary Abstract Algebra
No trivia or quizzes yet. Going beyond the realm of fundamental physics, molecular symmetry is a fundamental concept in chemistry, as it can predict or explain many of a molecule’s chemical properties such as its dipole moment.
Dec 30, Will rated it it was ok. Herstein for the mathematics undergrad. I also greatly appreciated the full list of notational conventions abtract the beginning of the book, and the list of suggested alggebra at the end of each chapter. Mar 28, Nate Ellis rated it did not like it. It seems students are simply not expected to see algebra put to any use until grad school, if at all.
OK, now that justice has been rendered to this conemporary and beautiful subject, the time has finally come for me to review this informative University textbook, which represents a very good introductory treatment of the fundamental elements of abstract algebra group theory, rings, fields contempodary a level which is typically addressed at senior Mathematics undergraduate stage.
Trivia About Contemporary Abst Really was fun to work though this one. In summary, my general experience with this book has been quite a positive one; independently of the quality of this particular book, I must also say that studying abstract algebra has been for me a rewarding intellectual journey I did study some abstract algebra at university, but it was only at introductory level and manly focused on vector spacesas it is very remarkable how, by starting just with the basic definition of an extremely simple concept such as that of a group, whole worlds of progressively richer and more complex structures, patterns and relationships are progressively unveiled in a process of enthralling discovery.
There is for example a natural connection between particle physics and representation theory of abstract algebra, linking the properties of elementary particles to the structure of Lie Groups and Lie Algebras in particular, the different quantum states of any given elementary particle corresponds to an irreducible representation of the Poincare’ group. Overall, this is a 4-star book. Books by Joseph A. Refresh and try again. Going through the class and actually reading the book, it is actually a really useful guide.
This book is OK as far as presenting abstract algebra in the usual way to undergrads.