Authors:
- Provides a concise and rigorous introduction to linear algebra
- Includes a large number of motivating illustrations and challenging exercises
- Is written by an expert with over 43 years of teaching experience of the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Infosys Science Foundation Series (ISFS)
Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Harish Chandra Research Institute (HRI), Allahabad, India
Ramji Lal
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.
Bibliographic Information
Book Title: Algebra 2
Book Subtitle: Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier
Authors: Ramji Lal
Series Title: Infosys Science Foundation Series
DOI: https://doi.org/10.1007/978-981-10-4256-0
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-4255-3Published: 12 May 2017
Softcover ISBN: 978-981-13-5089-4Published: 12 December 2018
eBook ISBN: 978-981-10-4256-0Published: 03 May 2017
Series ISSN: 2363-6149
Series E-ISSN: 2363-6157
Edition Number: 1
Number of Pages: XVIII, 432
Topics: Linear and Multilinear Algebras, Matrix Theory, Associative Rings and Algebras, Commutative Rings and Algebras, Non-associative Rings and Algebras, Group Theory and Generalizations, Number Theory