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Rotations, Quaternions, and Double Groups (Softcover)

Rotations, Quaternions, and Double Groups (Softcover)

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LIKE NEW: This book is in excellent, like-new condition.

Product Details

From the back cover: "Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary."

BRIEF CONTENTS

  • 0 - Notation~Conventions~How to Use this Book
  • 1 - Introduction
  • 2 - All You Need to Know About Symmetries, Matrices, and Groups
  • 3 - A Primer on Rotations and Rotation Matrices
  • 4 - Rotations and Angular Momentum
  • 5 - Tensor Bases: Introduction to Spinors
  • 6 - The Bilinear Transformation: Introduction to SU(2), SU'(2), and Rotations. More About Spinors
  • 7 - Rotations and SU(2). The Stereographic Projection
  • 8 - Projective Representations
  • 9 - The Geometry of Rotations
  • 10 - The Topology of Rotations
  • 11 - The Spinor Representations
  • 12 - The Algebra of Rotations: Quaternions
  • 13 - Double Groups
  • 14 - The Irreducible Representations of SO(3)
  • 15 - Examples and Applications
  • 16 - Solutions to Problems
  • References
  • Index


This Dover (2005) publication is a "slightly corrected republication of the edition published by Oxford University Press, Oxford, 1986," and may contain British spelling.
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AUTHOR: Altman;Simon L.
PUBLISHER: Dover Publications
ISBN-13: 9780486445182
ISBN-10: 0486445186
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Rotations, Quaternions, and Double Groups (Softcover)
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