Infosys Science Foundation Series in Mathematical Sciences

Algebra 2

Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier

Authors: Lal, Ramji

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  • 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
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eBook 50,28 €
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  • ISBN 978-981-10-4256-0
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Hardcover 59,99 €
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  • ISBN 978-981-10-4255-3
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  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover 74,99 €
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  • ISBN 978-981-13-5089-4
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  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.

Reviews

“The text is enhanced by a large number of examples and exercises, and the presentation of the material is equally lucid, detailed, rigorous and versatile. Together with Volume 1, this book forms a very solid and useful source for a first-, second-, and third-year course in algebra at most universities worldwide, and that for both instructors and students likewise.” (Werner Kleinert, zbMATH 1369.00003, 2017)


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook 50,28 €
price for China (P.R.) (gross)
  • ISBN 978-981-10-4256-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 59,99 €
price for China (P.R.) (gross)
  • ISBN 978-981-10-4255-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover 74,99 €
price for China (P.R.) (gross)
  • ISBN 978-981-13-5089-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebra 2
Book Subtitle
Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier
Authors
Series Title
Infosys Science Foundation Series in Mathematical Sciences
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-4256-0
DOI
10.1007/978-981-10-4256-0
Hardcover ISBN
978-981-10-4255-3
Softcover ISBN
978-981-13-5089-4
Series ISSN
2364-4036
Edition Number
1
Number of Pages
XVIII, 432
Topics

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