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Algebra 2: Linear Algebra, Galois Theory, Representation Theory, Group
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Algebra 2: Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier Paperback - 2018

by Ramji Lal

From the publisher

This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1-5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.

From the rear cover

This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1-5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.

Details

  • Title Algebra 2: Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier
  • Author Ramji Lal
  • Binding Paperback
  • Pages 432
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2018-12-12
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9789811350894 / 9811350892
  • Weight 1.38 lbs (0.63 kg)
  • Dimensions 9.21 x 6.14 x 0.91 in (23.39 x 15.60 x 2.31 cm)
  • Dewey Decimal Code 512.2

About the author

RAMJI LAL is an adjunct professor at the Harish-Chandra Research Institute (HRI), Allahabad, Uttar Pradesh. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years: as a professor, head of the department and the coordinator of the DSA program. He was associated with HRI, where he initiated a postgraduate (PG) program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he was an advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad for over three years. His areas of interest include group theory, algebraic K-theory and representation theory.

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