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Symmetry: An Introduction to Group Theory and Its Applications [Anglais] [Broché]

Roy McWeeny
5.0 étoiles sur 5  Voir tous les commentaires (1 commentaire client)
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Détails sur le produit

  • Broché: 256 pages
  • Editeur : Dover Publications Inc.; Édition : Unabridged (28 mars 2003)
  • Collection : Dover Books on Physics
  • Langue : Anglais
  • ISBN-10: 0486421821
  • ISBN-13: 978-0486421827
  • Dimensions du produit: 21,6 x 14,1 x 1,5 cm
  • Moyenne des commentaires client : 5.0 étoiles sur 5  Voir tous les commentaires (1 commentaire client)
  • Classement des meilleures ventes d'Amazon: 41.175 en Livres anglais et étrangers (Voir les 100 premiers en Livres anglais et étrangers)
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3 internautes sur 3 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 A pleasure to read and easy to understand. 7 juin 2010
Par Quantiz
Symmetry with McWeeny's style: a single word less and you would have clarity leaks, a single word more and it would be redundant. I must thank Dover Publications once more to bring this excellent account of symmetry concepts and tools for chemists and physicists out of the oblivion of "out of print" books.
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Commentaires client les plus utiles sur (beta) 4.6 étoiles sur 5  9 commentaires
78 internautes sur 82 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Best intro to group theory I've seen 24 mars 2010
Par JonShops - Publié sur
Format:Broché|Achat vérifié
This is one of the finest examples of didactic mathematics I have ever seen. Good teaching is rare in mathematics...sorry, I wish it weren't so, but mathematicians often suffer from profound cluelessness about what is obvious and what is a stumbling block to understanding. Not so McWeeney, who understands the didactic principle of a continuing example that is developed and built upon along with the theory (here a simple rotation group of the triangular lamina, i.e. turning and flipping a triangle cutout). And no super-challenging problem sets and unfinished proofs that just make the math mortal feel stupid and want to give up.

This presentation could take any avid high school Algebra II student well into group theory and matrix representations.

That said, one would be better off with a background of basic matrix theory such as identity matrix, inverse matrix, etc., and some comfort with row/column language and the dual subscripts of matrices. But even that would not be necessary for anyone who comprehends sigma notation of sums and the basic principles of subscripting/indexing.

The first chapter is harder by far than the second. Readers should just remember that fraction groups are like riding a bike; once seen for what they are it will all come into place.

If you need a companion to this you might consider Byron and Fuller's Dover classic text, which develops vectors even more rigorously and from a more numeric perspective.
38 internautes sur 38 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Highly Recommended for Chemistry and Physics Students 25 juillet 2011
Par Jason Dowd - Publié sur
Format:Broché|Achat vérifié
The author states in the preface that this book was written to serve readers at a variety of levels. In fact this rather short book is almost three books in one.

The first two chapters provide an introduction to groups, vector spaces, and lattices. The material here is elementary, but the author is to be commended both for clear explanations as well as excellent notation. My only complaint is that the notation is useful to read, but not really to write as it relies on different typefaces.

The next two chapters dig into translation groups, point groups, and space groups in three dimensions. Chapter 5 focuses on the theory of irreducible representations, and in many ways forms the core of the book. The material in these chapters is definitely more challenging than the material in the first two chapters.

The final three chapters are devoted to applications. Chapter 6 covers applications to algebraic forms particularly as applied to vibrational modes as encountered in spectroscopy. Chapter 7 focuses on applications to functions and operators. Finally, chapter 8 is devoted to tensors and tensor operators. These three chapters are the most advanced in the book, and each is successively more advanced than the preceding one. These chapters will serve more advanced readers.

Early on the author introduces the group which comes to be known as C_3v. This groups is used as an example throughout the book and comes fully to life in chapter 6 where it is used to analyze the vibrational modes of the ammonia molecule. I really appreciated the continuity of and the elaboration on this one example as a unifying thread in the text.

The entire book contains copious tables and figures which are extremely helpful. In particular, chapters 3 and 4 contain detailed tables of the groups considered as well as their representations. The book has no exercises, but does offer a nice collection of suggestions for further reading at the end of each chapter. Finally, this book has remarkably few errors which is actually somewhat surprising just given the level of detail in some sections such as the group tables mentioned above.

Sure to be useful in particular to students of quantum chemistry and spectroscopy, this book is excellent and repays multiple readings, but I'd recommend the prospective reader bring a background in linear algebra and some quantum chemistry.
7 internautes sur 7 ont trouvé ce commentaire utile 
3.0 étoiles sur 5 Good for some things, not so for others 17 juillet 2014
Par A. J. Sutter - Publié sur
I have a much more moderate view of this book than some other reviewers. The book was written in the early 1960s. Back then, physicists were assumed to be interested mainly in finite groups, and these take up a lot of the book. The symmetries involved tend to be geometric symmetries in 3-space, e.g. of molecules, crystals, rotation of light, etc. The more generalized notion of symmetry commonly spoken of in physics classes today, based on Noether's theorem and connected to conservation laws, is missing from this book. Most of the applications are in chemistry and crystallography (though not necessarily solid state physics -- e.g., Bloch's theorem is mentioned only in passing, more than 80% into the text). Classical mechanics, quantum field theory, and particle physics are all absent. So is much of the vocabulary that a student today might be interested in: Lie groups aren't mentioned by name, nor are orthogonal groups, linear groups, Galilean groups, Lorentz groups, SU(n), SO(n), etc. etc. So are some of the usual math text topics, such as quotient groups and Sylow theorems.

The book is written in straight exposition without definition/theorem/proof, and without exercises too. But it's written in a more formal and pedantic style characteristic of the "Father Knows Best" era, when scientists smoked pipes and wore neckties under their lab coats -- very top-down, not the more eye-to-eye style of some textbooks today. Also typical for its time, the presentation is heavily reliant on all sorts of typographical tricks. On the plus side, the book has relatively many illustrations.

I bought this book based on some of the reviews on this page. I teach in Japan, and was hoping to find something I could recommend as a first math/science book in English to some aspiring grad students who are interested in particle physics, but who aren't yet so strong in groups or other algebraic structures. Sadly this didn't fill the bill. Regardless of English ability, if you're, say, a physics undergraduate who's interested in elementary particles or cosmology, and you're new to groups but allergic to pure math books, I think this could be a frustrating place to start. While the opening pages might have some useful information and visualizations, so do the early pages of some pdf introductions to group theory you can download for free, and those are written in a more contemporary style. If you're interested in chemistry, the early chapters of "Symmetry and Spectroscopy" by Harris and Bertolucci (available in a Dover edition) provide a much more user-friendly way to learn about groups. That said, as other reviews evidence, the book might be useful for some audiences. Crystallographers and others who work with finite groups might be one, and very gifted high school students who are thirsty for knowledge but who lack the need and impatience to dive into the contemporary math or physics literature might be another.
4 internautes sur 5 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Excellent for classes like "advanced topics in algebra" 24 mars 2013
Par Daniel Martins - Publié sur
Format:Broché|Achat vérifié
This book is fantastic! We dont have any applied algebra text so clear like this book in portuguese. Good for algebra teachers who want to develop higher topics with students.
16 internautes sur 23 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Group Theory Novice? Buy It and Learn! 4 novembre 2011
Par Lewis H. Robinson - Publié sur
Format:Broché|Achat vérifié
Wondering what a coset is? How axioms for lattices and groups generalize to vector spaces and linear algebra. Like an example of symmetry used as a theme for the whole book? This is the book for you.
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