Algebra 2

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

AvRamji Lal

Häftad, Engelska, 2018

Del i serien Infosys Science Foundation Series

517 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Inbunden

712 kr

E-bok

631 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2018-12-12
Mått:155 x 235 x 29 mm
Vikt:692 g
Format:Häftad
Språk:Engelska
Serie:Infosys Science Foundation Series
Antal sidor:432
Förlag:Springer Verlag, Singapore
ISBN:9789811350894

Utforska kategorier

Talteori inom Naturvetenskap och teknik
Grupper och gruppteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

Chapter 1. Vector Space.- Chapter 2. Matrices and Linear Equations.- Chapter 3. Linear Transformations.- Chapter 4. Inner Product Space.- Chapter 5. Determinants and Forms.- Chapter 6. Canonical Forms, Jordan and Rational Forms.- Chapter 7. General Linear Algebra.- Chapter 8. Field Theory, Galois Theory.- Chapter 9. Representation Theory of Finite Groups.- Chapter 10. Group Extensions and Schur Multiplier.