Linear Algebra and Group Theory by V I Smirnov - Bookswagon
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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Linear Algebra and Group Theory: (Dover Books on Mathematics)
Linear Algebra and Group Theory: (Dover Books on Mathematics)

Linear Algebra and Group Theory: (Dover Books on Mathematics)


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About the Book

Derived from an encyclopedic six-volume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach to linear algebra and group theory that emphasizes applications. Containing material not otherwise available to English-language readers, it forms a highly suitable text for undergraduate students of mathematics as well as a reference for mathematicians, theoretical physicists, and engineers.The three-part approach begins with an exposition of the properties of determinants and systems of equations, including correlative material on applications. The second part provides a simple but complete treatment of matrix theory, covering covariance, contravariance, tensor algebra, eigenvalues, infinite-dimensional spaces, and reduction of matrices to canonical forms. The final section introduces various ideas of group theory, with particular emphasis on rotation and Lorentz groups. A large and rich set of problems, complete with hints and answers, concludes each chapter.

Table of Contents:
Preface 1. Determinants and Their Properties 2. Solution of Systems of Linear Equations 3. Linear Transformations 4. Quadratic Forms 5. Infinite-Dimensional Spaces 6. Reduction of Matrices to Canonical Form 7. Elements of the General Theory of Groups 8. Representations of Groups 9. Continuois Groups Appendix Bibliography Hints and Answers Index

About the Author :
Vladimir Smirnov (1887-1974) was a famous Soviet mathematician whose areas of expertise included complex and conjugate functions in Euclidean spaces. His theoretical work had important applications to the propagation of waves in elastic media and the oscillation of elastic spheres.


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Product Details
  • ISBN-13: 9780486482224
  • Publisher: Dover Publications Inc.
  • Publisher Imprint: Dover Publications Inc.
  • Height: 213 mm
  • No of Pages: 480
  • Series Title: Dover Books on Mathematics
  • Weight: 476 gr
  • ISBN-10: 0486482227
  • Publisher Date: 18 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 25 mm
  • Width: 135 mm


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