This book is an introduction to group theory and its application to physics. The author considers the physical applications and develops mathematical theory in a presentation that is unusually cohesive and well-motivated. The book discusses many modern topics including molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, and there is much discussion of the group SU(n) and its representations, which is of great significance in elementary particle physics. The author also considers applications to solid-state physics. This is an essential resource for senior undergraduates and researchers in physics and applied mathematics.
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Editorial Reviews
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"...the author...has made a valuable contribution to the breaking down of artifical barriers between mathematics and physics." J.E. Humphreys, Bulletin of the American Mathematical Society
"Philosophers must thank Professor Sternberg for having written this book. Sternberg gives us an entree to quantum mechanics through the medium of group theory, probably the best such book since Weyl's Group Theory and Quantum Mechanics of 1929....The book contains a wealth of self-contained examples of the applications of group theory, the mathematics of symmetry." Mark Steiner, Philosophia Mathematica
"...it is fitting that physicists be made aware of this book, and I am pleased to recommend its study." Eugene Golowich. American Journal of Physics
"...I can highly recommend this book to anyone teaching or studying the subject. It could serve as a text in a graduate course if supplemented with exercises and problems." Meinhard Mayer, Physics Today
"A suitable and desirable reference for theoretically (and mathematically) oriented advanced undergraduates, graduate students, faculty and researchers, as well as mathematicians interested in the application of group theory to physics. Recommended." Choice
"...the subject is well shaped and the exposition is fairly lucid. I consider Sternberg's book a fine adddition to the existing literature and strongly recommend it to anyone with an interest in learning how to use group theoretical methods to understand concrete physical problems." Ivailo M. Mladenov, SIAM Review
"Philosophers must thank Professor Sternberg for having written this book. Sternberg gives us an entree to quantum mechanics through the medium of group theory, probably the best such book since Weyl's Group Theory and Quantum Mechanics of 1929....The book contains a wealth of self-contained examples of the applications of group theory, the mathematics of symmetry." Mark Steiner, Philosophia Mathematica
"...it is fitting that physicists be made aware of this book, and I am pleased to recommend its study." Eugene Golowich. American Journal of Physics
"...I can highly recommend this book to anyone teaching or studying the subject. It could serve as a text in a graduate course if supplemented with exercises and problems." Meinhard Mayer, Physics Today
"A suitable and desirable reference for theoretically (and mathematically) oriented advanced undergraduates, graduate students, faculty and researchers, as well as mathematicians interested in the application of group theory to physics. Recommended." Choice
"...the subject is well shaped and the exposition is fairly lucid. I consider Sternberg's book a fine adddition to the existing literature and strongly recommend it to anyone with an interest in learning how to use group theoretical methods to understand concrete physical problems." Ivailo M. Mladenov, SIAM Review
Book Description
This introduction to group theory and its application to physics covers molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, as well as the group SU(n) and its representations, which is of great significance in elementary particle physics.
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19 of 19 people found the following review helpful:
5.0 out of 5 stars
Excellent introduction.,
By "himog" (Albion, PA United States) - See all my reviews
This review is from: Group Theory and Physics (Paperback)
This book is an excellent introduction to the use of group theory in physics, especially in crystallography, special relativity and particle physics. Perhaps most importantly, Sternberg includes a highly accessible introduction to representation theory near the beginning of the book. All together, this book is an excellent place to get started in learning to use groups and representations in physics.
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First Sentence:
In this chapter we will introduce the basic mathematical concepts associated with symmetry: the notion of a group and the action of a group on a set. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tabloid corresponding, cth row, skew hook, ith irreducible representation, flame spectra, partition pair, isotropy group, eigenvalue exp, intrinsic parity, representative operator, irreducible subspaces, trivial representation, inequivalent irreducible representations, crystallographic groups, space direct sum, invariant scalar product, associated bundle, induced representations, conjugation action, projective representations, invariant subspace, smooth density Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Taking the Fourier New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter we will introduce the basic mathematical concepts associated with symmetry: the notion of a group and the action of a group on a set. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tabloid corresponding, cth row, skew hook, ith irreducible representation, flame spectra, partition pair, isotropy group, eigenvalue exp, intrinsic parity, representative operator, irreducible subspaces, trivial representation, inequivalent irreducible representations, crystallographic groups, space direct sum, invariant scalar product, associated bundle, induced representations, conjugation action, projective representations, invariant subspace, smooth density Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Taking the Fourier New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 31
books:
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25
books
cite this book:
See all 25 books citing this book
- Geometric Asymptotics (Mathematical Surveys and Monographs Number 14) by Victor Guillemin in Front Matter, and page 245
- An Introduction to Crystallography by Frank Coles, Phillips on page 17, and Back Matter
- Elementary Crystallography: An Introduction to the Fundamental Geometrical Features of Crystals by Martin J. Buerger in Back Matter
- Introduction to Group Theory With Applications (Materials science and technology) by Gerald Burns in Back Matter
- Fascination of Groups by Budden in Back Matter
See all 31 books this book cites
- All the Mathematics You Missed: But Need to Know for Graduate School by Thomas A. Garrity on page 221, page 228, and Back Matter
- Groups and Characters (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) by Larry C. Grove in Back Matter
- Fourier Analysis on Finite Groups and Applications (London Mathematical Society Student Texts) by Audrey Terras in Back Matter
- Algebraic Frames for the Perception-Action Cycle: International Workshop, AFPAC'97, Kiel, Germany, September 8-9, 1997, Proceedings (Lecture Notes in Computer Science) by Gerald Sommer on page 125
- Quantum Probability Communications by R. L. Hudson on page 133
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