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Algebra 1: Groups, Rings, Fields and Arithmetic de Ramji Lal

Algebra 1: Groups, Rings, Fields and Arithmetic: Infosys Science Foundation Series

Autor Ramji Lal
en Limba Engleză Hardback – 16 mai 2017
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.
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Specificații

ISBN-13: 9789811042522
ISBN-10: 9811042527
Pagini: 433
Ilustrații: XVII, 433 p.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.81 kg
Ediția:1st ed. 2017
Editura: Springer Nature Singapore
Colecția Springer
Seriile Infosys Science Foundation Series, Infosys Science Foundation Series in Mathematical Sciences

Locul publicării:Singapore, Singapore

Cuprins

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.

Recenzii

“The rich material is explaind in a very lucid, detailed and rigorous style. Together with the unique wealth of instructive illustrations, examples, and exercises, the main text makes an excellent source for both teaching and self-study of the subject. Certainly, this new textbook is a very useful and valuable enrichment of the plenty of existing primers in the field of higher algebra.” (Werner Kleinert, zbMATH 1369.00002, 2017)

Notă biografică

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

Textul de pe ultima copertă

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.

Caracteristici

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 Includes supplementary material: sn.pub/extras