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Group Theory: An Intuitive Approach
 
 
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Group Theory: An Intuitive Approach [Paperback]

R. Mirman (Author)
2.7 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

9810233655 978-9810233655 June 1995
A thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available.

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Group Theory: An Intuitive Approach + Visual Group Theory (MAA Classroom Resource Materials) (MAA Problem Book Series) + Groups and Symmetry: A Guide to Discovering Mathematics (Mathematical World, Vol. 5)
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Editorial Reviews

From the Publisher

A thorough introduction to group theory, this (highlyproblem-oriented) book goes deeply into the subject to provide afuller understanding than is available anywhere else. It aims not onlyto teach the material, but also to help develop the skills needed byresearchers and teachers. It is organized and written to serve as areference to provide a quick introduction of the subjects, giving theessence and vocabulary useful for those needing only some slightknowledge. As for those just learning, and especially for researcherstoo, this book provides some new material and a different perspectivenot available elsewhere. It is also an attempt to show that it ispossible for a book to be useful to many diverse groups (of people)simultaneously. --This text refers to an out of print or unavailable edition of this title.


Product Details

  • Paperback: 492 pages
  • Publisher: World Scientific Publishing Company (June 1995)
  • Language: English
  • ISBN-10: 9810233655
  • ISBN-13: 978-9810233655
  • Product Dimensions: 8.4 x 6.3 x 1.1 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 2.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #828,710 in Books (See Top 100 in Books)

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Customer Reviews

3 Reviews
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Average Customer Review
2.7 out of 5 stars (3 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

1 of 1 people found the following review helpful:
3.0 out of 5 stars A different kind of introduction to group theory for physicists, October 28, 2011
By 
Ulfilas (Washington, DC) - See all my reviews
When I first read Tinkham's book Group Theory and Quantum Mechanics thirty years ago, I found his treatment easy to follow. Mirman's book, however, is not as easy for me to digest. For me, the introduction of group character makes group theory appealing, understandable, and obviously powerful. Mirman, however, does not introduce the concept of group character until the middle of the book, while Tinkham introduces group character at the very beginning. Tinkham also uses the group of an equilateral triangle at the very beginning of his book and uses it to illustrate group character. Tinkham's book, in turn, is modeled on Wigner's Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra. Although Mirman deserves credit for formulating a more original textbook (i.e. one substantially different from Wigner's), the result is a book that most beginners would find too detailed or abstract.

I should also say that I find the author's somewhat Socratic style of exposition rather distracting. Too many sections are punctuated with questions and problems that interfere with the flow of the narrative.

So here is the bottom line: if you are a physicist or physics student who is unfamiliar with group theory, read Tinkham. If you have already read Tinkham, Heine's Group Theory in Quantum Mechanics: An Introduction to Its Present Usage (Dover Books on Physics), or other books modeled on Wigner, you might benefit from taking a look at Mirman.
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16 of 27 people found the following review helpful:
4.0 out of 5 stars Good INTRODUCTION into group theory., August 27, 1998
By A Customer
The first thing to say: you need time to read this book. It is written in a "prosa"-style but nevertheless it covers a lot of topics. If you have never heard anything about group theory than that is your choise. It's not written in the pure algebraic-style but illustrates the subject with a lot of (common) examples.
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3 of 14 people found the following review helpful:
1.0 out of 5 stars Totally ambiguous and weird, April 5, 2009
By 
Liguo Kong (Waterloo, Canada) - See all my reviews
(REAL NAME)   
This review is from: Group Theory: An Intuitive Approach (Paperback)
I have read some bad books. But this one is the most ambiguous one I have ever seen. Totally unclear, drives you crazy.
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Inside This Book (learn more)
First Sentence:
Change is the essence of life, and of physics. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
basis state operators, representation basis states, resentation matrices, natural monomial, labeling operators, geometrical groups, double rectangle, orthogonal category, standard tableaux, nonisomorphic groups, solvable algebras, pyramidal group, triangle invariant, semisimple ones, group multiplication table, regular representation, invariant subalgebra, group axioms, rotation group, semisimple algebras, permutation acting, defining representation, standard monomial, quaternion group, label representations
Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Zeeman
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