Ramji Lal: Algebra 1 | Taschenbuch

Cover: 9789811350887 | Algebra 1 | Groups, Rings, Fields and Arithmetic | Ramji Lal | Buch

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Sprache: Englisch

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Beschreibung

This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.

Über den Autor

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

Zusammenfassung

Presents an accessible introduction to the major theorems of modern algebra

Provides a clear and motivating exposition with numerous examples and exercises

Is written by an expert with over 43 years of teaching experience of the subject

Inhaltsverzeichnis

Chapter 1.
Language of mathematics 1 (Logic).-
Chapter 2.
Language Of Mathematics 2 (Set Theory).-
Chapter 3.
Number System.-
Chapter 4.
Group Theory.-
Chapter 5.
Fundamental Theorems.-
Chapter 6.
Permutation groups and Classical Groups.-
Chapter 7.
Elementary Theory of Rings and Fields.-
Chapter 8.
Number Theory 2.-
Chapter 9.
Structure theory of groups.-
Chapter 10.
Structure theory continued.-
Chapter 11.
Arithmetic in Rings.

Details

Erscheinungsjahr:	2018
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Infosys Science Foundation Series in Mathematical Sciences
Inhalt:	xvii 433 S.
ISBN-13:	9789811350887
ISBN-10:	9811350884
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Lal, Ramji
Auflage:	Softcover reprint of the original 1st ed. 2017
Hersteller:	Springer Singapore Springer Nature Singapore Infosys Science Foundation Series in Mathematical Sciences
Maße:	235 x 155 x 25 mm
Von/Mit:	Ramji Lal
Erscheinungsdatum:	12.12.2018
Gewicht:	0,68 kg

Artikel-ID: 115114012