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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In fact, structure and symmetry are a fundamental aspect of physical reality.
Resources for Abstract Algebra
Oct 31, Daniel rated it really liked it. 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.
Lists with This Book. This book is so amazing In fact, structure and symmetry are a fundamental aspect of physical reali 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 cpntemporary characterized by very limited applicability to the physical world.
Hardly contemporary if you ask me! Gauri Singh rated it really liked it Nov 20, 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.
Not a perfect book by any means, and possibly too basic in some areas, but a solid good textbook recommended to anybody interested in a treatment of this fascinating subject delivered, with a good pedagogical approach, at senior undergraduate level. No one should buy this book or require it for a course at such an exorbitant price. Christopher Farah rated it really liked it Nov 08, Working through the first two parts of the book has opened my mind to the real possibilities of Mathematics.
Contemporary Abstract Algebra
Gallian for the armchair mathematician. 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.
Apr 29, Michael rated it did not like it Shelves: None of this is unique to this book. Supposedly this is not a children’s book, but it is full of pictures and blurbs about random dead abxtract.
It is simply disgusting. Ahmad rated it really liked it Jan 14, The attempts to liven things up with silly quotes and bios give the book a condescending middle school type feel. 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.
contemporarg I have read many books on abstract algebra and my personal experience is this: This book is OK as far as presenting abstract algebra in the usual way to undergrads.
Really was fun to work though this one. 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.
Jul 04, Leonkap rated it really liked it.
Contemporary Abstract Algebra by Joseph A. Gallian
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.
My favorite textbook of all time! Numerous easy exercises, which is fine, although it might be nice if there were more challenging ones too. An acquired taste, conteporary like black coffee with no sugar. In fact, if this is not your textbook for Abstract Algebra, it should definitely be a companion to your text. Joseph Gallian is a well-known active researcher and award-winning teacher. I cannot wait to get back into it. This book doesn’t give conyemporary any real idea what the heck algebra is good for and doesn’t provide any real connections to anything else.
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I also greatly appreciated the full list of notational conventions at the beginning of the book, and the list of suggested readings at the end of each chapter. Abstract algebra is therefore extremely important and foundational in many fields, and not just in pure mathematics: Jasashwi Mandal rated it it was amazing Oct 02, Rizwan rated it it was amazing Jul 20, Moreover, group theory has many applications in cryptography, robotics and computer vision, just as another example of concrete application of abstract algebra concepts.
This is an awesome book.